Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- California Polytechnic State University, San Luis Obispo (4)
- Old Dominion University (4)
- Chapman University (3)
- Prairie View A&M University (3)
- Dartmouth College (2)
-
- East Tennessee State University (2)
- Technological University Dublin (2)
- University of New Mexico (2)
- Cal Poly Humboldt (1)
- City University of New York (CUNY) (1)
- Eastern Washington University (1)
- Florida Institute of Technology (1)
- Georgia Southern University (1)
- Illinois State University (1)
- Liberty University (1)
- Louisiana State University (1)
- Montclair State University (1)
- Rose-Hulman Institute of Technology (1)
- Southern Methodist University (1)
- University at Albany, State University of New York (1)
- University of Central Florida (1)
- University of Dayton (1)
- University of Nebraska - Lincoln (1)
- University of Texas at El Paso (1)
- Virginia Commonwealth University (1)
- Keyword
-
- Quantum (4)
- Numerical methods (3)
- Algorithm (2)
- Finite difference (2)
- Mathematical physics (2)
-
- Neutrosophic Set (2)
- Neutrosophy (2)
- Optimization (2)
- Quantum theory (2)
- Schrödinger equation (2)
- AdaBoost (1)
- Algebra (1)
- Algorithms (1)
- Anti-Geometry (1)
- Applied Optics (1)
- Approximate-analytical solution (1)
- Atmosphere Models (1)
- Basis set (1)
- Big Data (1)
- Born-Oppenheimer approximation (1)
- Bose-Einstein Condensate (1)
- CERN (1)
- Carbon nanotube (1)
- Chaos (1)
- Classification (1)
- Climate science (1)
- Collision (1)
- Complex analysis (1)
- Complex functions (1)
- Computational chemistry (1)
- Publication Year
- Publication
-
- Physics (4)
- Applications and Applied Mathematics: An International Journal (AAM) (3)
- Theses and Dissertations (3)
- Branch Mathematics and Statistics Faculty and Staff Publications (2)
- Dartmouth College Ph.D Dissertations (2)
-
- Mathematics, Physics, and Computer Science Faculty Articles and Research (2)
- OUR Journal: ODU Undergraduate Research Journal (2)
- Physics Faculty Publications (2)
- Annual Symposium on Biomathematics and Ecology Education and Research (1)
- Articles (1)
- Book chapter/book (1)
- COURI Symposium Abstracts, Spring 2011 (1)
- Cal Poly Humboldt theses and projects (1)
- College of Graduate Studies: Theses & Dissertations (1)
- Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works (1)
- Department of Physics and Astronomy: Faculty Publications (1)
- EWU Masters Thesis Collection (1)
- Electrical & Computer Engineering Faculty Publications (1)
- Electronic Theses & Dissertations (2024 - present) (1)
- Electronic Theses and Dissertations (1)
- Honors Undergraduate Theses (1)
- LSU Doctoral Dissertations (1)
- Mathematical Sciences Technical Reports (MSTR) (1)
- Philosophy Faculty Articles and Research (1)
- SMU Data Science Review (1)
- Senior Honors Theses (1)
- Undergraduate Honors Theses (1)
- Publication Type
Articles 31 - 39 of 39
Full-Text Articles in Quantum Physics
Transition Orbits Of Walking Droplets, Joshua Parker
Transition Orbits Of Walking Droplets, Joshua Parker
Physics
It was recently discovered that millimeter-sized droplets bouncing on the surface of an oscillating bath of the same fluid can couple with the surface waves it produces and begin walking across the fluid bath. These walkers have been shown to behave similarly to quantum particles; a few examples include single-particle diffraction, tunneling, and quantized orbits. Such behavior occurs because the drop and surface waves depend on each other to exist, making this the first and only known macroscopic pilot-wave system. In this paper, the quantized orbits between two identical drops are explored. By sending a perturbation to a pair of …
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 tails …
Spin Glass Reflection Of The Decoding Transition For Quantum Error Correcting Codes, Alexey Kovalev, Leonid P. Pryadko
Spin Glass Reflection Of The Decoding Transition For Quantum Error Correcting Codes, Alexey Kovalev, Leonid P. Pryadko
Department of Physics and Astronomy: Faculty Publications
We study the decoding transition for quantum error correcting codes with the help of a mapping to random-bond Wegner spin models. Families of quantum low density parity-check (LDPC) codes with a finite decoding threshold lead to both known models (e.g., random bond Ising and random plaquette Z2 gauge models) as well as unexplored earlier generally non-local disordered spin models with non-trivial phase diagrams. The decoding transition corresponds to a transition from the ordered phase by proliferation of "post-topological" extended defects which generalize the notion of domain walls to non-local spin models. In recently discovered quantum LDPC code families with …
Centered-Difference Applications For Schrödinger's Equation, Matthew Thomas Murachver
Centered-Difference Applications For Schrödinger's Equation, Matthew Thomas Murachver
Physics
This project enumerates methods utilizing discretized centered-difference approximations on the second order differential equation for quantum particles known as Schrodinger’s Equation. An eigenvalue-eigenfunction scheme is developed to sieve for valid solutions to The Time Independent Schrodinger Equation. Additionally the Crank-Nicolson method is applied to the Time Dependent Schrodinger Equation to describe wavefunction (eigenfunction) time evolution. The validity of these methods is discussed with applications to several fundamental pedagogical introductory quantum mechanic systems.
Isotropic Oscillator Under A Magnetic And Spatially Varying Electric Field, David L. Frost Mr., Frank Hagelberg
Isotropic Oscillator Under A Magnetic And Spatially Varying Electric Field, David L. Frost Mr., Frank Hagelberg
Undergraduate Honors Theses
We investigate the energy levels of a particle confined in the isotropic oscillator potential with a magnetic and spatially varying electric field. Here we are able to exactly solve the Schrodinger equation, using matrix methods, for the first excited states. To this end we find that the spatial gradient of the electric field acts as a magnetic field in certain circumstances. Here we present the changes in the energy levels as functions of the electric field, and other parameters.
Integrability, Recursion Operators And Soliton Interactions, Boyka Aneva, Georgi Grahovski, Rossen Ivanov, Dimitar Mladenov
Integrability, Recursion Operators And Soliton Interactions, Boyka Aneva, Georgi Grahovski, Rossen Ivanov, Dimitar Mladenov
Book chapter/book
This volume contains selected papers based on the talks,presentedat the Conference Integrability, Recursion Operators and Soliton Interactions, held in Sofia, Bulgaria (29-31 August 2012) at the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Included are also invited papers presenting new research developments in the thematic area. The Conference was dedicated to the 65-th birthday of our esteemed colleague and friend Vladimir Gerdjikov. The event brought together more than 30 scientists, from 6 European countries to celebrate Vladimir's scientific achievements. All participants enjoyed a variety of excellent talks in a friendly and stimulating atmosphere. …
On The Geometrıc Interpretatıons Of The Kleın-Gordon Equatıon And Solution Of The Equation By Homotopy Perturbation Method, Hasan Bulut, H. M. Başkonuş
On The Geometrıc Interpretatıons Of The Kleın-Gordon Equatıon And Solution Of The Equation By Homotopy Perturbation Method, Hasan Bulut, H. M. Başkonuş
Applications and Applied Mathematics: An International Journal (AAM)
This paper is organized in the following ways: In the first part, we obtained the Klein Gordon Equation (KGE) in the Galilean space. In the second part, we applied Homotopy Perturbation Method (HPM) to this differential equation. In the third part, we gave two examples for the Klein Gordon equation. Finally, We compared the numerical results of this differential equation with their exact results. We also showed that approach used is easy and highly accurate.
Quantum Mechanical Model Of The Hydrogen Atom, Andres Ortiz^, Snehanshu Saha*
Quantum Mechanical Model Of The Hydrogen Atom, Andres Ortiz^, Snehanshu Saha*
COURI Symposium Abstracts, Spring 2011
The quantum mechanical wave function of an object under a certain potential is determined by the Schrödinger equation. It is known that the latter equation can be solved analytically only for a finite number of distinct potentials, being a Coulomb potential one of them. For an electron in a hydrogen atom, we analytically find the angular parts of its wave function by the usual method. Under the appropriate change of variable, the radial part of the equation is turned into a Legendre differential equation whose solutions are Legendre polynomials. Using finite difference method and shooting method taking into account physically …
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 lattice-based quantum algorithm is presented to model the non-linear Schrödinger-like equations in 2 + 1 dimensions. In this lattice-based model, using only 2 qubits per node, a sequence of unitary collide (qubit-qubit interaction) and stream (qubit translation) operators locally evolve a discrete field of probability amplitudes that in the long-wavelength limit accurately approximates a non-relativistic 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 non-linear potential that is proportional to the moduli square of the wave function. …