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Articles 1  30 of 59
FullText Articles in Physical Sciences and Mathematics
Optical Stability Of 1,1′Binaphthyl Derivatives, Nikolay V. Tkachenko, Steve Scheiner
Optical Stability Of 1,1′Binaphthyl Derivatives, Nikolay V. Tkachenko, Steve Scheiner
Chemistry and Biochemistry Faculty Publications
The racemization process of various 1,1′binaphthyl derivatives is studied by quantum calculations. The preferred racemization pathway passes through a transition state belonging to the C_{i} symmetry group. The energy barrier for this process is independent of solvation, the electronwithdrawing/releasing power of substituents, or their ability to engage in Hbonds within the molecule. The primary factor is instead the substituent size. The barrier is thus reduced when the −OH groups of 1,1′bi2naphthol are replaced by H. There is a drop in the barrier also when the substituents are moved from the 2,2′ positions to ...
InfiniteRandomness Fixed Point Of The Quantum SuperconductorMetal Transitions In Amorphous Thin Films, Nicholas A. Lewellyn, Ilana M. Percher, J. J. Nelson, Javier GarciaBarriocanal, Irina Volotsenko, Aviad Frydman, Thomas Vojta, Allen M. Goldman
InfiniteRandomness Fixed Point Of The Quantum SuperconductorMetal Transitions In Amorphous Thin Films, Nicholas A. Lewellyn, Ilana M. Percher, J. J. Nelson, Javier GarciaBarriocanal, Irina Volotsenko, Aviad Frydman, Thomas Vojta, Allen M. Goldman
Physics Faculty Research & Creative Works
The magneticfieldtuned quantum superconductorinsulator transitions of disordered amorphous indium oxide films are a paradigm in the study of quantum phase transitions and exhibit powerlaw scaling behavior. For superconducting indium oxide films with low disorder, such as the ones reported on here, the highfield state appears to be a quantumcorrected metal. Resistance data across the superconductormetal transition in these films are shown here to obey an activated scaling form appropriate to a quantum phase transition controlled by an infiniterandomness fixed point in the universality class of the random transversefield Ising model. Collapse of the fielddependent resistance vs temperature data is obtained ...
Quantum Mechanical Studies Of NH···N Hydrogen Bonding In Acetamide Derivatives And Amino Acids, Sandra J. Lundell
Quantum Mechanical Studies Of NH···N Hydrogen Bonding In Acetamide Derivatives And Amino Acids, Sandra J. Lundell
All Graduate Theses and Dissertations
Proteins are made of vast chains of amino acids that twist and fold into intricate designs. These structures are held in place by networks of noncovalent interactions. One of these, the hydrogen bond, forms bridges between adjacent pieces of the protein chain and is one of the most important contributors to the shape and stability of proteins. Hydrogen bonds come in all shapes and sizes and a full understanding of these not only aids in our understanding of proteins in general but can bridge the gap to finding cures to many proteinrelated diseases, such as sicklecell anemia. The primary aim ...
LongRange Interactions Of Hydrogen Atoms In Excited States. Iii. Ns−1s Interactions For N ≥ 3, Chandra M. Adhikari, V. Debierre, Ulrich D. Jentschura
LongRange Interactions Of Hydrogen Atoms In Excited States. Iii. Ns−1s Interactions For N ≥ 3, Chandra M. Adhikari, V. Debierre, Ulrich D. Jentschura
Physics Faculty Research & Creative Works
The longrange interaction of excited neutral atoms has a number of interesting and surprising properties such as the prevalence of longrange oscillatory tails and the emergence of numerically large van der Waals C_{6} coefficients. Furthermore, the energetically quasidegenerate nP states require special attention and lead to mathematical subtleties. Here we analyze the interaction of excited hydrogen atoms in nS states (3 ≤ n ≤ 12) with groundstate hydrogen atoms and find that the C6 coefficients roughly grow with the fourth power of the principal quantum number and can reach values in excess of 240000 (in atomic units) for states with n ...
LongRange Tails In Van Der Waals Interactions Of ExcitedState And GroundState Atoms, Ulrich D. Jentschura, V. Debierre
LongRange Tails In Van Der Waals Interactions Of ExcitedState And GroundState Atoms, Ulrich D. Jentschura, V. Debierre
Physics Faculty Research & Creative Works
A quantum electrodynamic calculation of the interaction of an excitedstate atom with a groundstate atom is performed. For an excited reference state and a lowerlying virtual state, the contribution to the interaction energy naturally splits into a pole term and a Wickrotated term. The pole term is shown to dominate in the longrange limit, altering the functional form of the interaction from the retarded 1/R^{7} CasimirPolder form to a longrange tail  provided by the Wickrotated term  proportional to cos[2(E_{m}  E_{n})R/(ħc)]/R^{2}, where E_{m} < E_{n} is the energy of a virtual ...
A Method For Achieving Analytic Formulas For Three Body Integrals Consisting Of Powers And Exponentials In All Three Interparticle Hyllerass Coordinates, Chris M. Keating
A Method For Achieving Analytic Formulas For Three Body Integrals Consisting Of Powers And Exponentials In All Three Interparticle Hyllerass Coordinates, Chris M. Keating
Dissertations and Theses
After an introduction to the variational principle of three body systems via the Helium atom, we present general analytical formulas for the radial parts of integrals that occur when three body systems are described using wave functions that consist of powers and exponentials in all three interparticle Hylleraas coordinates [Hylleraas1929]. This work is an extension of integrals given by Harris, Frolov and Smith, Jr. [Harris2004]. Specifically included are radial integrals encountered in calculations involving the dipole moment matrix element in Hylleraas coordinates that contain a function f(kr_{1}) (such as a spherical Bessel function) in addition to a plane ...
Vibrational Energy Levels Of The Simplest Criegee Intermediate (Ch₂Oo) From FullDimensional Lanczos, Mctdh, And Multimode Calculations, HuaGen Yu, Steve Alexandre Ndengué, Jun Li, Richard Dawes, Hua Guo
Vibrational Energy Levels Of The Simplest Criegee Intermediate (Ch₂Oo) From FullDimensional Lanczos, Mctdh, And Multimode Calculations, HuaGen Yu, Steve Alexandre Ndengué, Jun Li, Richard Dawes, Hua Guo
Chemistry Faculty Research & Creative Works
Accurate vibrational energy levels of the simplest Criegee intermediate (CH_{2}OO) were determined on a recently developed ab initio based ninedimensional potential energy surface using three quantum mechanical methods. the first is the iterative Lanczos method using a conventional basis expansion with an exact Hamiltonian. the second and more efficient method is the multiconfigurational timedependent Hartree (MCTDH) method in which the potential energy surface is refit to conform to the sumsofproducts requirement of MCTDH. Finally, the energy levels were computed with a vibrational selfconsistent field/virtual configuration interaction method in MULTIMODE. the lowlying levels obtained from the three methods ...
Kinetic Isotope Effect Of The ¹⁶O+³⁶O₂ And ¹⁸O+³²O₂ Isotope Exchange Reactions: Dominant Role Of Reactive Resonances Revealed By An Accurate TimeDependent Quantum Wavepacket Study, Zhigang Sun, Dequan Yu, Wenbo Xie, Jiayi Hou, Richard Dawes, Hua Guo
Kinetic Isotope Effect Of The ¹⁶O+³⁶O₂ And ¹⁸O+³²O₂ Isotope Exchange Reactions: Dominant Role Of Reactive Resonances Revealed By An Accurate TimeDependent Quantum Wavepacket Study, Zhigang Sun, Dequan Yu, Wenbo Xie, Jiayi Hou, Richard Dawes, Hua Guo
Chemistry Faculty Research & Creative Works
The O + O_{2} isotope exchange reactions play an important role in determining the oxygen isotopic composition of a number of trace gases in the atmosphere, and their temperature dependence and kinetic isotope effects (KIEs) provide important constraints on our understanding of the origin and mechanism of these and other unusual oxygen KIEs important in the atmosphere. This work reports a quantum dynamics study of the title reactions on the newly constructed DawesLolurLiJiangGuo (DLLJG) potential energy surface (PES). The thermal reaction rate coefficients of both the 18O + 32O_{2} and 16O + 36O_{2} reactions obtained using the DLLJG PES exhibit ...
Signatures Of Chaos In The Dynamics Of Quantum Discord, Vaibhav Madhok, Vibhu Gupta, DenisAlexandre Trottier, Shohini Ghose
Signatures Of Chaos In The Dynamics Of Quantum Discord, Vaibhav Madhok, Vibhu Gupta, DenisAlexandre Trottier, Shohini Ghose
Physics and Computer Science Faculty Publications
We identify signatures of chaos in the dynamics of discord in a multiqubit system collectively modelled as a quantum kicked top. The evolution of discord between any two qubits is quasiperiodic in regular regions, while in chaotic regions the quasiperiodicity is lost. As the initial wave function is varied from the regular regions to the chaotic sea, a contour plot of the timeaveraged discord remarkably reproduces the structures of the classical stroboscopic map. We also find surprisingly opposite behavior of twoqubit discord versus entanglement of the two qubits as measured by the concurrence. Our results provide evidence of signatures of ...
Class Of Unambiguous State Discrimination Problems Achievable By Separable Measurements But Impossible By Local Operations And Classical Communication, Scott M. Cohen
Physics Faculty Publications and Presentations
We consider an infinite class of unambiguous quantum state discrimination problems on multipartite systems, described by Hilbert space H, of any number of parties. Restricting consideration to measurements that act only on H, we find the optimal global measurement for each element of this class, achieving the maximum possible success probability of 1/2 in all cases. This measurement turns out to be both separable and unique, and by our recently discovered necessary condition for local quantum operations and classical communication (LOCC) it is easily shown to be impossible by any finiteround LOCC protocol. We also show that, quite generally ...
Four Tails Problems For Dynamical Collapse Theories, Kelvin J. Mcqueen
Four Tails Problems For Dynamical Collapse Theories, Kelvin J. Mcqueen
Philosophy Faculty Articles and Research
The primary quantum mechanical equation of motion entails that measurements typically do not have determinate outcomes, but result in superpositions of all possible outcomes. Dynamical collapse theories (e.g. GRW) supplement this equation with a stochastic Gaussian collapse function, intended to collapse the superposition of outcomes into one outcome. But the Gaussian collapses are imperfect in a way that leaves the superpositions intact. This is the tails problem. There are several ways of making this problem more precise. But many authors dismiss the problem without considering the more severe formulations. Here I distinguish four distinct tails problems. The first (bare ...
Information Gain In Tomography–A Quantum Signature Of Chaos, Vaibhav Madhok, Carlos A. Riofrío, Shohini Ghose, Ivan H. Deutsch
Information Gain In Tomography–A Quantum Signature Of Chaos, Vaibhav Madhok, Carlos A. Riofrío, Shohini Ghose, Ivan H. Deutsch
Physics and Computer Science Faculty Publications
We find quantum signatures of chaos in various metrics of information gain in quantum tomography. We employ a quantum state estimator based on weak collective measurements of an ensemble of identically prepared systems. The tomographic measurement record consists of a sequence of expectation values of a Hermitian operator that evolves under repeated application of the Floquet map of the quantum kicked top. We find an increase in information gain and, hence, higher fidelities in the reconstruction algorithm when the chaoticity parameter map increases. The results are well predicted by random matrix theory.
Local Quantum Protocols For Separable Measurements With Many Parties, Scott M. Cohen
Local Quantum Protocols For Separable Measurements With Many Parties, Scott M. Cohen
Physics Faculty Publications and Presentations
In a recent paper [ S. M. Cohen Phys. Rev. A 84 052322 (2011)], we showed how to construct a protocol for implementing a bipartite, separable quantum measurement using only local operations on subsystems and classical communication between parties (LOCC) within any fixed number of rounds of communication, whenever such a protocol exists. Here, we generalize that construction to one that applies for any number of parties. One important observation is that the construction automatically determines the ordering of the parties' measurements, overcoming a significant apparent difficulty in designing protocols for more than two parties. We also present various other results ...
A Gauge Theoretic Treatment Of Rovibrational Motion In Diatoms, Gregory Colarch
A Gauge Theoretic Treatment Of Rovibrational Motion In Diatoms, Gregory Colarch
UNLV Theses, Dissertations, Professional Papers, and Capstones
The BornOppenheimer approximation has long been the standard approach to solving the Schrödinger equation for diatomic molecules. In it, nuclear and electronic motions are separated into "slow" and "fast" degrees of freedom and couplings between the two are ignored. The neglect of nonadiabatic couplings leads to an incomplete description of diatomic motion, and in a more refined approach, nonadiabatic couplings are uncoupled by transforming the angular momentum of the molecule and electrons into the bodyfixed frame.
In this thesis we examine a "modern" form of the BornOppenheimer approximation by exploiting a gauge theoretic approach in a description of molecular motion ...
NonFermi Liquid Transport And "Universal" Ratios In Quantum Griffiths Phases, David Nozadze, Thomas Vojta
NonFermi Liquid Transport And "Universal" Ratios In Quantum Griffiths Phases, David Nozadze, Thomas Vojta
Physics Faculty Research & Creative Works
We use the semiclassical Boltzmann equation to investigate transport properties such as electrical resistivity, thermal resistivity, thermopower, and the Peltier coefficient of disordered metals close to an antiferromagnetic quantum phase transition. In the quantum Griffiths phase, the electrons are scattered by spinfluctuations in the rare regions. This leads to singular temperature dependencies not just at the quantum critical point, but in the entire Griffiths phase. We show that the resulting nonuniversal powerlaws in transport properties are controlled by the same Griffiths exponent λ which governs the thermodynamics. λ takes the value zero at the quantum critical point and increases throughout ...
Spectroscopy And Dynamics Of The Predissociated, QuasiLinear S₂ State Of Chlorocarbene, Chong Tao, Craig A. Richmond, Calvin Mukarakate, Scott H. Kable, George B. Bacskay, Eric C. Brown, Richard Dawes, Phalgun Lolur, Scott A. Reid
Spectroscopy And Dynamics Of The Predissociated, QuasiLinear S₂ State Of Chlorocarbene, Chong Tao, Craig A. Richmond, Calvin Mukarakate, Scott H. Kable, George B. Bacskay, Eric C. Brown, Richard Dawes, Phalgun Lolur, Scott A. Reid
Chemistry Faculty Research & Creative Works
In this work, we report on the spectroscopy and dynamics of the quasilinear S_{2} state of chlorocarbene, CHCl, and its deuterated isotopologue using opticaloptical double resonance (OODR) spectroscopy through selected rovibronic levels of the S_{1} state. This study, which represents the first observation of the S_{2} state in CHCl, builds upon our recent examination of the corresponding state in CHF, where pronounced mode specificity was observed in the dynamics, with predissociation rates larger for levels containing bending excitation. In the present work, a total of 14 S_{2} state vibrational levels with angular momentum 1 were observed ...
Fully Differential Cross Section For Four Body Charge Transfer Process, Ujjal Chowdhury, Allison L. Harris, Jerry Peacher, Don H. Madison
Fully Differential Cross Section For Four Body Charge Transfer Process, Ujjal Chowdhury, Allison L. Harris, Jerry Peacher, Don H. Madison
Physics Faculty Research & Creative Works
Recently experimental fully differential cross sections (FDCS) have been reported for double capture in proton helium collisions which disagree with existing theoretical calculations by two orders of magnitude. We introduce here a theoretical model for charge transfer processes which is fully quantum mechanical and takes all post collision interactions (PCI) between the particles into account exactly. The results of this model are in much better agreement with experimental data.
Manipulating Atomic Fragmentation Processes By Controlling The Projectile Coherence, Kisra N. Egodapitiya, Sachin D. Sharma, Ahmad Hasan, Aaron C. Laforge, Don H. Madison, Robert Moshammer, Michael Schulz
Manipulating Atomic Fragmentation Processes By Controlling The Projectile Coherence, Kisra N. Egodapitiya, Sachin D. Sharma, Ahmad Hasan, Aaron C. Laforge, Don H. Madison, Robert Moshammer, Michael Schulz
Physics Faculty Research & Creative Works
We have measured the scattering angle dependence of cross sections for ionization in p+H_{2} collisions for a fixed projectile energy loss. Depending on the projectile coherence, interference due to indistinguishable diffraction of the projectile from the two atomic centers was either present or absent in the data. This shows that, due to the fundamentals of quantum mechanics, the preparation of the beam must be included in theoretical calculations. The results have farreaching implications on formal atomic scattering theory because this critical aspect has been overlooked for several decades.
Interference Of BoseEinstein Condensates: Quantum Nonlocal Effects, Wj Mullin, F Laloe
Interference Of BoseEinstein Condensates: Quantum Nonlocal Effects, Wj Mullin, F Laloe
William J. Mullin
Quantum systems in Fock states do not have a phase. When two or more BoseEinstein condensates are sent into interferometers, they nevertheless acquire a relative phase under the effect of quantum measurements. The usual explanation relies on spontaneous symmetry breaking, where phases are ascribed to all condensates and treated as unknown classical quantities. However, this image is not always sufficient: when all particles are measured, quantum mechanics predicts probabilities that are sometimes in contradiction with it, as illustrated by quantum violations of local realism. In this Rapid communication, we show that interferometers can be used to demonstrate a large variety ...
Equivalent Dynamical Complexity In A ManyBody Quantum And Collective Human System, Neil F. Johnson, Josef Ashkenazi, Zhenyuan Zhao, Luis Quiroga
Equivalent Dynamical Complexity In A ManyBody Quantum And Collective Human System, Neil F. Johnson, Josef Ashkenazi, Zhenyuan Zhao, Luis Quiroga
Physics Articles and Papers
Proponents of Complexity Science believe that the huge variety of emergent phenomena observed throughout nature, are generated by relatively few microscopic mechanisms. Skeptics however point to the lack of concrete examples in which a single mechanistic model manages to capture relevant macroscopic and microscopic properties for two or more distinct systems operating across radically different length and time scales. Here we show how a single complexity model built around cluster coalescence and fragmentation, can cross the fundamental divide between manybody quantum physics and social science. It simultaneously (i) explains a mysterious recent finding of Fratini et al. concerning quantum manybody ...
Poincare Recurrence And Spectral Cascades In ThreeDimensional Quantum Turbulence, George Vahala, Jeffrey Yepez, Linda L. Vahala, Min Soe, Bo Zhang, Sean Ziegeler
Poincare Recurrence And Spectral Cascades In ThreeDimensional Quantum Turbulence, George Vahala, Jeffrey Yepez, Linda L. Vahala, Min Soe, Bo Zhang, Sean Ziegeler
Electrical & Computer Engineering Faculty Publications
The time evolution of the ground state wave function of a zerotemperature BoseEinstein condensate (BEC) gas is well described by the Hamiltonian GrossPitaevskii (GP) equation. Using a set of appropriately interleaved unitary collisionstream operators, a qubit lattice gas algorithm is devised, which on taking moments, recovers the GrossPitaevskii (GP) equation under diffusion ordering (time scales as length^{2}). Unexpectedly, there is a class of initial states whose Poincaré recurrence time is extremely short and which, as the grid resolution is increased, scales with diffusion ordering (and not as length^{3}). The spectral results of J. Yepez et al. [Phys. Rev ...
UnitaryQuantumLattice Algorithm For TwoDimensional Quantum Turbulence, Bo Zhang, George Vahala, Linda L. Vahala, Min Soe
UnitaryQuantumLattice Algorithm For TwoDimensional Quantum Turbulence, Bo Zhang, George Vahala, Linda L. Vahala, Min Soe
Electrical & Computer Engineering Faculty Publications
Quantum vortex structures and energy cascades are examined for twodimensional quantum turbulence (2D QT) at zero temperature. A special unitary evolution algorithm, the quantum lattice algorithm, is employed to simulate the BoseEinstein condensate governed by the GrossPitaevskii (GP) equation. A parameter regime is uncovered in which, as in 3D QT, there is a short Poincare recurrence time. It is demonstrated that such short recurrence times are destroyed by stronger nonlinear interaction. The similar loss of Poincare recurrence is also seen in the 3D GP equation. Various initial conditions are considered in an attempt to discern if 2D QT exhibits inverse ...
Ultrafast Optical Study Of Small Gold Monolayer Protected Clusters: A Closer Look At Emission, S. Hei Yau, O. Varnavski, John D. Gilbertson, Bert D. Chandler, G. Ramakrishna, T. Goodson
Ultrafast Optical Study Of Small Gold Monolayer Protected Clusters: A Closer Look At Emission, S. Hei Yau, O. Varnavski, John D. Gilbertson, Bert D. Chandler, G. Ramakrishna, T. Goodson
Chemistry Faculty Research
Monolayerprotected metal nanoclusters (MPCs) were investigated to probe their fundamental excitation and emission properties. In particular, gold MPCs were probed by steadystate and timeresolved spectroscopic measurements; the results were used to examine the mechanism of emission in relation to the excited states in these systems. In steadystate measurements, the photoluminescence of gold clusters in the range of 25 to 140 atoms was considerably stronger relative to larger particle analogues. The increase in emission efficiency (for Au25, Au55, and Au140 on the order of 105) over bulk gold may arise from a different mechanism of photoluminescence, as suggested by measurements on ...
Theoretical And Computational Study Of Time Dependent Scattering On A 2d Surface, Michael Sohn
Theoretical And Computational Study Of Time Dependent Scattering On A 2d Surface, Michael Sohn
UNLV Theses, Dissertations, Professional Papers, and Capstones
The quantum mechanical treatment of the elastic scattring of atoms from a crystal surface provides valuable information, such as surface properties and gassurface interaction potentials. However, since it is based on the stationary state solution, it does not provide the details of the scattering process in the neighborhood of the surface, especially when atoms are physically adsorbed. In this thesis, the time evolution of the scattering process is treated in 2D with a model potential, V(x, z) = gδ(z) + λδ(z)cos(2πx/a), using the Gaussian wave packet approach. The focus is on the case where the ...
A HandsOn Introduction To Single Photons And Quantum Mechanics For Undergraduates, Brett J. Pearson, David P. Jackson
A HandsOn Introduction To Single Photons And Quantum Mechanics For Undergraduates, Brett J. Pearson, David P. Jackson
Faculty and Staff Publications By Year
We describe a series of experiments used in a sophomorelevel quantum physics course that are designed to provide students with a handson introduction to quantum mechanics. By measuring correlations, we demonstrate that a heliumneon laser produces results consistent with a classical model of light. We then demonstrate that a light source derived from a spontaneous parametric downconversion process produces results that can only be described using a quantum theory of light, thus providing a (nearly) singlephoton source. These single photons are then sent into a Mach–Zehnder interferometer, and interference fringes are observed whenever the path of the photons cannot ...
Foundations And Interpretations Of Quantum Mechanics, Cory Johnson
Foundations And Interpretations Of Quantum Mechanics, Cory Johnson
Honors Theses
The first famous thought experiment of Einstein gives rise to his theories of relativity, the bedrock of modern astrophysics and cosmology. His second famous thought experiment begins the investigation into the foundations of quantum mechanics. It leads to a paradox, inspiring various 'nogo' theorems proven by Bell, Kochen, and Specker. Physicists and philosophers worldwide become increasingly dissatisfied with the probabilistic complementarity interpretation (BornBohr) and eventually offer their own accounts of the theory. By the end of the 20th century two alternative approaches stand out as the best candidates: Both the hidden variables interpretation (de BroglieBohm) and the many worlds interpretation ...
Interference Of BoseEinstein Condensates: Quantum Nonlocal Effects, Wj Mullin, F Laloe
Interference Of BoseEinstein Condensates: Quantum Nonlocal Effects, Wj Mullin, F Laloe
Physics Department Faculty Publication Series
Quantum systems in Fock states do not have a phase. When two or more BoseEinstein condensates are sent into interferometers, they nevertheless acquire a relative phase under the effect of quantum measurements. The usual explanation relies on spontaneous symmetry breaking, where phases are ascribed to all condensates and treated as unknown classical quantities. However, this image is not always sufficient: when all particles are measured, quantum mechanics predicts probabilities that are sometimes in contradiction with it, as illustrated by quantum violations of local realism. In this Rapid communication, we show that interferometers can be used to demonstrate a large variety ...
A General Quantum Mechanical Method To Predict Positron Spectroscopy, Paul E. Adamson
A General Quantum Mechanical Method To Predict Positron Spectroscopy, Paul E. Adamson
Theses and Dissertations
The nuclearelectronic orbital (NEO) method was modified and extended to positron systems. NEO  secondorder MoellerPlesset perturbation (MP2) energies and annihilation rates were calculated for the positronium hydride (PsH) system, and the effects of basis set size on correlation energies captured with the NEOMP2 and NEOfull configuration interaction (FCI) methods are compared and discussed. Equilibrium geometries and vibrational energy levels were computed for the LiX and e^{+}LiX (X = H, F, Cl) systems at the MP2 and NEOMP2 levels. It was found that anharmonicity plays a significant role, specifically in the differences between the vibrational energy levels of the LiX and ...
Gauging Newton’S Law, James Thomas Wheeler
Gauging Newton’S Law, James Thomas Wheeler
All Physics Faculty Publications
We derive both Lagrangian and Hamiltonian mechanics as gauge theories of Newtonian mechanics. Systematic development of the distinct symmetries of dynamics and measurement suggest that gauge theory may be motivated as a reconciliation of dynamics with measurement. Applying this principle to Newton's law with the simplest measurement theory leads to Lagrangian mechanics, while use of conformal measurement theory leads to Hamiltonian mechanics.PACS Nos.: 45.20.Jj, 11.25.Hf, 45.10.–b [ABSTRACT FROM AUTHOR]
Lattice Quantum Algorithm For The Schrodinger Wave Equation In 2+1 Dimensions With A Demonstration By Modeling Soliton Instabilities, Jeffrey Yepez, George Vahala, Linda L. Vahala
Lattice Quantum Algorithm For The Schrodinger Wave Equation In 2+1 Dimensions With A Demonstration By Modeling Soliton Instabilities, Jeffrey Yepez, George Vahala, Linda L. Vahala
Electrical & Computer Engineering Faculty Publications
A latticebased quantum algorithm is presented to model the nonlinear Schrödingerlike equations in 2 + 1 dimensions. In this latticebased model, using only 2 qubits per node, a sequence of unitary collide (qubitqubit interaction) and stream (qubit translation) operators locally evolve a discrete field of probability amplitudes that in the longwavelength limit accurately approximates a nonrelativistic scalar wave function. The collision operator locally entangles pairs of qubits followed by a streaming operator that spreads the entanglement throughout the two dimensional lattice. The quantum algorithmic scheme employs a nonlinear potential that is proportional to the moduli square of the wave function. The ...