Wave functions of a time-dependent harmonic oscillator with and without a singular perturbation

IA Pedrosa, GP Serra, I Guedes - Physical Review A, 1997 - APS
We use the Lewis and Riesenfeld invariant method to obtain the exact Schrödinger wave
functions for a time-dependent harmonic oscillator with and without an inverse quadratic …

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 …

Scalar fields and exact invariants in a Friedmann-Robertson-Walker spacetime

AMM Carvalho, C Furtado, IA Pedrosa - Physical Review D—Particles, Fields …, 2004 - APS
In this work we study scalar fields in a Friedmann-Robertson-Walker space-time. We use the
invariant operator formulation of Lewis and Riesenfeld in order to study the behavior of …

[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 …

Operator method for a nonconservative harmonic oscillator with and without singular perturbation

JR Choi, BH Kweon - International Journal of Modern Physics B, 2002 - World Scientific
We used dynamical invariant operator method to find the quantum mechanical solution of a
harmonic plus inverse harmonic oscillator with time-dependent coefficients. The eigenvalue …

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 …

Ermakov approach for Q= 0 empty FRW minisuperspace oscillators

HC Rosu, P Espinoza, M Reyes - arXiv preprint gr-qc/9910070, 1999 - arxiv.org
The Wheeler-DeWitt equation for empty FRW minisuperspace universes of Hartle-Hawking
factor ordering parameter Q= 0 is mapped onto the dynamics of a unit mass classical …

Gaussian wave packet states of scalar fields in a universe of de Sitter

CEF Lopes, IA Pedrosa, C Furtado… - Journal of mathematical …, 2009 - pubs.aip.org
In this work, we study quantum effects of a massive scalar field in the de Sitter spacetime.
We reduce the problem to that of a time-dependent harmonic oscillator and use exact linear …

On the quantum description of light in homogeneous conducting linear media

AL de Lima, A Rosas, IA Pedrosa - Journal of Physics B: Atomic …, 2008 - iopscience.iop.org
In this paper, we use the Coulomb gauge, linear invariants and the dynamical invariant
method in the framework of the Schrödinger equation to obtain a quantum description of …

Investigation of the time evolution of Lane–Emden-type Kanai–Caldirola oscillator

SF Özeren - Journal of mathematical physics, 2009 - pubs.aip.org
In this study, we have investigated the time evolution of the first kind Lane–Emden-type
Kanai–Caldirola oscillator. The total energy of the one dimensional classical harmonic …