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Physical Sciences and Mathematics Commons™

Open Access. Powered by Scholars. Published by Universities.®

Atomic, Molecular and Optical Physics

City University of New York (CUNY)

2017

Articles 1 - 5 of 5

Full-Text Articles in Physical Sciences and Mathematics

Quantum Optical Interferometry And Quantum State Engineering, Richard J. Birrittella Jr Jun 2017

Quantum Optical Interferometry And Quantum State Engineering, Richard J. Birrittella Jr

Dissertations, Theses, and Capstone Projects

We highlight some of our research done in the fields of quantum optical interferometry and quantum state engineering. We discuss the body of work for which our research is predicated, as well as discuss some of the fundamental tenants of the theory of phase estimation. We do this in the context of quantum optical interferometry where our primary interest lies in the calculation of the quantum Fisher information as it has been shown that the minimum phase uncertainty obtained, the quantum Cramer-Rao bound, is saturated by parity-based detection methods. We go on to show that the phase uncertainty one obtains …

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Second Harmonic Generation – A Novel Approach In Retinal Imaging, Denis Y. Sharoukhov Feb 2017

Second Harmonic Generation – A Novel Approach In Retinal Imaging, Denis Y. Sharoukhov

Dissertations, Theses, and Capstone Projects

Here we present the utilization of Second Harmonic Generation (SHG) for label-free imaging of microtubules (MTs) in the retinal nerve fiber layer (RNFL). MTs are an important part of axonal cytoskeleton, providing structural support and serving as a railroad in intracellular transport. We demonstrate the application of SHG microscopy to the following studies: 1) Can changes in MT conformation be detected when treated with a stabilizing drug (Taxol); 2) if disruption in MT precedes loss of axons in a mouse model of glaucoma (DBA/2J); and 3) if elevated levels of intraocular pressure affect MT integrity. Our results validate SHG imaging …

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Schrödinger Theory Of Electrons In Electromagnetic Fields: New Perspectives, Viraht Sahni, Xiao-Yin Pan Jan 2017

Schrödinger Theory Of Electrons In Electromagnetic Fields: New Perspectives, Viraht Sahni, Xiao-Yin Pan

Publications and Research

The Schrödinger theory of electrons in an external electromagnetic field is described from the new perspective of the individual electron. The perspective is arrived at via the time-dependent "Quantal Newtonian" law (or differential virial theorem). (The time-independent law, a special case, provides a similar description of stationary-state theory). These laws are in terms of "classical" fields whose sources are quantal expectations of Hermitian operators taken with respect to the wave function. The laws reveal the following physics: (a) in addition to the external field, each electron experiences an internal field whose components are representative of a specific property of the …

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Electron Correlations In An Excited State Of A Quantum Dot In A Uniform Magnetic Field, Marlina Slamet, Viraht Sahni Jan 2017

Electron Correlations In An Excited State Of A Quantum Dot In A Uniform Magnetic Field, Marlina Slamet, Viraht Sahni

Publications and Research

Electron correlations in a two-electron two-dimensional ‘artificial atom’ or quantum dot (with harmonic confining potential) in the presence of a uniform magnetic field in an excited singlet state are studied via quantal density functional theory (QDFT). QDFT allows for the separation of the electron correlations due to the Pauli exclusion principle and Coulomb repulsion, as well as the determination of the contribution of these correlations to the kinetic energy. The QDFT mapping is from the excited state of the quantum dot to one of noninteracting fermions in their ground state possessing the same basic variables of the density and physical …

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Generalization Of The Schrödinger Theory Of Electrons, Viraht Sahni Jan 2017

Generalization Of The Schrödinger Theory Of Electrons, Viraht Sahni

Publications and Research

The Schrödinger theory for a system of electrons in the presence of both a static and time-dependent electromagnetic field is generalized so as to exhibit the intrinsic self-consistent nature of the corresponding Schrödinger equations. This is accomplished by proving that the Hamiltonian in the stationary-state and time-dependent cases {\hat{H}; \hat{H}(t)} are exactly known functionals of the corresponding wave functions {\Psi; \Psi(t)}, i.e. \hat{H} = \hat{H}[\Psi] and \hat{H}(t) = \hat{H}[\Psi(t)]. Thus, the Schrödinger equations may be written as \hat{H}[\Psi]\Psi = E[\Psi]\Psi and \hat{H}[\Psi(t)]\Psi(t) = i\partial\Psi(t)/\partial t. As a consequence the eiegenfunctions and energy eigenvalues {\Psi; E} of the stationary-state equation, and …

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