Lewis-Riesenfeld quantization and SU (1, 1) coherent states for 2D damped harmonic oscillator

LM Lawson, GYH Avossevou, L Gouba - Journal of Mathematical …, 2018 - pubs.aip.org
In this paper, we study a two-dimensional rotationally symmetric harmonic oscillator with
time-dependent frictional force. At the classical level, we solve the equations of motion for a …

Time-dependent metric for the two-dimensional, non-Hermitian coupled oscillator

A Fring, T Frith - Modern Physics Letters A, 2020 - World Scientific
We provide a time-dependent Dyson map and metric for the two-dimensional harmonic
oscillator with a non-Hermitian ixy coupling term. This particular time-independent model …

On the quantum motion of a generalized time-dependent forced harmonic oscillator

AL de Lima, A Rosas, IA Pedrosa - Annals of Physics, 2008 - Elsevier
In this work, we use linear invariants and the dynamical invariant method to obtain exact
solutions of the Schrödinger equation for the generalized time-dependent forced harmonic …

Exact quantum motion of a particle trapped by oscillating fields

IA Pedrosa, A Rosas, I Guedes - Journal of Physics A …, 2005 - iopscience.iop.org
The exact wavefunctions for a particle trapped by oscillating fields are obtained in terms of
Mathieu functions with the help of linear invariants and the dynamical invariant method. In …

Time-dependence in non-Hermitian quantum systems

T Frith - arXiv preprint arXiv:2002.01977, 2020 - arxiv.org
We present a coherent and consistent framework for explicit time-dependence in non-
Hermitian quantum mechanics. The area of non-Hermitian quantum mechanics has been …

Tunnel transport problem for open multilayer nitride nanostructures with an applied constant magnetic field and time-dependent potential: An exact solution

I Boyko, M Petryk, N Lebovka - Physical Review B, 2024 - APS
A quantum mechanical theory for description of electronic quasistationary states in two-
dimensional (2D) layered semiconductor nanostructure was developed. A constant external …

[HTML][HTML] Exact linear invariants and quantum effects in the early universe

IA Pedrosa, C Furtado, A Rosas - Physics Letters B, 2007 - Elsevier
In this contribution we use linear invariants and the dynamical invariant method in the
framework of the linear Schrödinger equation to study scalar fields in a Friedman–Robertson …

Landau problem with time dependent mass in time dependent electric and harmonic background fields

LM Lawson, GYH Avossevou - Journal of Mathematical Physics, 2018 - pubs.aip.org
The spectrum of a Hamiltonian describing the dynamics of a Landau particle with time-
dependent mass and frequency undergoing the influence of a uniform time-dependent …

Geometric phases and squeezed quantum states of relic gravitons

K Bakke, IA Pedrosa, C Furtado - Journal of mathematical physics, 2009 - pubs.aip.org
In this work, we investigate the quantum effects of relic gravitons from a Schrödinger-picture
point of view. By considering the gravity-wave equations in the Friedmann–Robertson …

Adiabatic and nonadiabatic evolution of a generalized damped harmonic oscillator

IA Pedrosa - Modern Physics Letters A, 2021 - World Scientific
In this work we present a simple and elegant approach to study the adiabatic and
nonadiabatic evolution of a generalized damped harmonic oscillator which is described by …