Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

理论物理通讯：英文版

Analytical Solution for Single—Mode Time—Dependent Oscillator

HOUGuang, XUXin-Wei

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

Based on the general theory of time-dependent quantum transformation, we use the time evolutionoperator method to solve the single-mode time-dependent oscillator.

Related papers

Analytical Solution for Single-Mode Time-Dependent Oscillator

Hou Guang, Xu Xiu-Wei, Zhang Yong-De

Based on the general theory of time-dependent quantum transformation, we use the "time evolution operator" method to solve the single-mode time-dependent oscillator.

Communications in Theoretical Physics•May 15, 2002•2 citations

Dynamical evolution for time-dependent qscillators

Wang Xiao-Qin, Zhou Li-You, Lu Huai-Xin +1 more

Based on the matrix of the time-dependent quantum transformation theory，we derive the analytic expression of the evolution operator for the time-dependent oscillators by using the time-dependent quantum transformation theory. Then the exact solution of the time-dependent oscillators is obtained.

Acta Physica Sinica•Jan 1, 2008•1 citation

Exactly solving a two-dimensional time-dependent coupled quantum oscillator

Xu Xiu-Wei

Based on the generalized linear quantum transformation theory, we present a new method to exactly solve a two-dimensional time-dependent coupled quantum oscillator, and obtain the exact formulae of the normal product form of the evolution operator, evolution matrix element, wavefunction and expectation value of an arbitrary observable.

Journal of Physics A Mathematical and General•Mar 23, 2000•6 citations

Time-dependent coupled harmonic oscillators: Classical and quantum solutions

I. Ramos-Prieto, J. Récamier, H. M. Moya-Cessa

Macedo and Guedes have shown how to solve a system of coupled harmonic oscillators with time-dependent parameters [Int. J. Mod. Phys. 23 (2014) 1450048]. We show that the first transformation they did is not correct. We show how to solve the coupled harmonic oscillators for the cases they treat in their paper, namely, [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text].

International Journal of Modern Physics E•May 1, 2020•4 citations

Non-perturbative solution of a quantum mechanical oscillator interacting with a specific environment

E. Badralexe, R K Gupta, W. Scheid

A quantum mechanical model of an oscillator interacting linearly with an environment is treated by the method of perturbation series expansion. For a special class of environments and interactions, this series is summed up to all orders. An integral equation for the time dependence of the coordinate operator of the oscillator is obtained, which is solved analytically by the method of Laplace transformations. General conditions are stated for a dissipative behaviour of the special class of environments considered. An example, which is widely applicable, is discussed.

Journal of Physics A Mathematical and General•Feb 1, 1984•4 citations

EVOLUTION OPERATOR AND WAVE FUNCTION OF A TIME-DEPENDENT OSCILLATOR

Xu Xiu-Wei, Liu Sheng-dian, Ren Ting-Qi +2 more

From the generalized linear quantum transformation theory,we obtain the normal product form of evolution operator and the wave function for a time-dependent oscillator.

Acta Physica Sinica•Jan 1, 1999•0 citations
A quantum mechanical model of an oscillator interacting linearly with an environment is treated by the method of perturbation series expansion. For a special class of environments and interactions, this series is summed up to all orders. An integral equation for the time dependence of the coordinate operator of the oscillator is obtained, which is solved analytically by the method of Laplace transformations. General conditions are stated for a dissipative behaviour of the special class of environments considered. An example, which is widely applicable, is discussed.