Lie algebraic approach to the time-dependent quantum general harmonic oscillator and the bi-dimensional charged particle in time-dependent electromagnetic fields

VG Ibarra-Sierra, JC Sandoval-Santana, JL Cardoso… - Annals of Physics, 2015 - Elsevier
We discuss the one-dimensional, time-dependent general quadratic Hamiltonian and the bi-
dimensional charged particle in time-dependent electromagnetic fields through the Lie …

Non-Gaussian entanglement of magnetically coupled modes: A dynamical analysis

R Hab-Arrih, A Jellal, A Merdaci - Modern Physics Letters A, 2022 - World Scientific
The quantum entanglement of two connected harmonic oscillators via angular momentum
yielding a magnetic coupling ω c is discussed in this study. The corresponding Hamiltonian …

Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach

JC Sandoval-Santana, VG Ibarra-Sierra… - Journal of …, 2016 - pubs.aip.org
We develop a Lie algebraic approach to systematically calculate the evolution operator of a
system described by a generalized two-dimensional quadratic Hamiltonian with time …

Time-dependent Pauli equation in the presence of the Aharonov–Bohm effect

Y Bouguerra, A Bounames, M Maamache… - Journal of mathematical …, 2008 - pubs.aip.org
We use the Lewis–Riesenfeld theory to determine the exact form of the wavefunctions of a
two-dimensional Pauli equation of a charged spin 1∕ 2 particle with time-dependent mass …

Dynamics of Non-Gaussian Entanglement of Two Magnetically Coupled Modes

R Hab-arrih, A Jellal, A Merdaci - arxiv preprint arxiv:2108.04129, 2021 - arxiv.org
This paper surveys the quantum entanglement of two coupled harmonic oscillators via
angular momentum generating a magnetic coupling $\omega_ {c} $. The corresponding …

Influence of Auxiliary Equation on Wave Functions for Time-Dependent Pauli Equation in Presence of Aharonov–Bohm Effect

M Maamache, C Lahoulou… - … in Theoretical Physics, 2009 - iopscience.iop.org
Invariant operator method for discrete or continuous spectrum eigenvalue and unitary
transformation approach are employed to study the two-dimensional time-dependent Pauli …

Non-Gaussian Entanglement of Magnetically Coupled Modes: A Dynamical Analysis

A Jellal, R Hab-arrih, A Merdaci - Available at SSRN 4136092 - papers.ssrn.com
The quantum entanglement of two connected harmonic oscillators via angular momentum
yielding a magnetic coupling $\omega_ {c} $ is discussed in this study. The corresponding …

Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach

VG Ibarra-Sierra, JC Sandoval-Santana… - arxiv preprint arxiv …, 2016 - arxiv.org
We develop a Lie algebraic approach to systematically calculate the evolution operator of
the generalized two-dimensional quadratic Hamiltonian with time-dependent coefficients …

A time-dependent 2D harmonic oscillator in the presence of the Aharonov–Bohm effect with a time-dependent flux radius

M Maamache, N Chaabi, Y Saadi - Physica Scripta, 2008 - iopscience.iop.org
The quantum states of the 2D time-dependent harmonic oscillator with the Aharonov–Bohm
(AB) effect are investigated by employing the invariant operator method and the unitary …

Lie algebraic approach to quadratic Hamiltonians and the bi-dimensional charged particle in time-dependent electromagnetic field

VG Ibarra-Sierra, JC Sandoval-Santana… - arxiv preprint arxiv …, 2015 - arxiv.org
We discuss the one-dimensional, general quadratic Hamiltonian and the bi-dimensional
charged particle in time-dependent electromagnetic fields through the Lie algebraic …