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

Communications in Theoretical Physics

Solution for One-Dimensional Quantum Oscillator with Time-Dependent Frequency and Mass

Xu Xiu-Wei, Hou Guang, Zhang YongDe

Published Sep 15, 2000• 3 citations
Publisher

Abstract

Based on the generalized linear quantum transformation theory, we present a normal ordering evolution operator for onedimensional quant urn oscillator with time-dependent frequency and mass, then give the exact expression of the evolution matrix elements, wave function and expectation value of arbitrary observable.
DOI
10.1088/0253-6102/34/2/337

Related papers

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

Analytic solution for one-dimensional quantum oscillator with a variable frequency

Xu Xiu-Wei, Ren Ting-Qi, Liu Sheng-dian

According to generalized linear quantum transformation theory, we give the exact expression of the evolution operator, wave function and expectation value of observable quantity for one-dimensional quantum oscillator with a variable frequency: ω(t) = (ω0, β > 0).

Acta Physica Sinica (Overseas Edition)•Sep 1, 1999•1 citation

General solution for multi-dimensional coupled and forced quantum oscillator

Xu Xiu-Wei, Ren Ting-Qi, Shuyan Liu +3 more

Utilizing the general linear quantum transformation theory, we give the exact expressions of evolutionary operator's matrix elements, wave function, expectation value of an observable and partition function, for multi-dimensional coupled and forced quantum oscillator.

Acta Physica Sinica•Jan 1, 2006•4 citations

Time evolution of a time-dependent harmonic oscillator in a static magnetic field

Wensen Liu, Ji‐Suo Wang

The analytic expression of the time evolution wavefunction of the two-dimensional harmonic oscillator with time-dependent mass and frequency in a static magnetic field is obtained using an operator-algebraic method slightly different from the usual Lie algebraic technique. The evolution operator of the one-dimensional harmonic oscillator with time-dependent mass and frequency is established first by forming an operator differential equation with the su (1, 1) Lie algebra, which is deduced from the time-dependent linear unitary transformation for boson operators ( a , a †), and then by comparing this operator equation with the time evolution equation of the one-dimensional oscillator.

Journal of Physics A Mathematical and Theoretical•Jan 17, 2007•8 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

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
The analytic expression of the time evolution wavefunction of the two-dimensional harmonic oscillator with time-dependent mass and frequency in a static magnetic field is obtained using an operator-algebraic method slightly different from the usual Lie algebraic technique. The evolution operator of the one-dimensional harmonic oscillator with time-dependent mass and frequency is established first by forming an operator differential equation with the su (1, 1) Lie algebra, which is deduced from the time-dependent linear unitary transformation for boson operators ( a , a †), and then by comparing this operator equation with the time evolution equation of the one-dimensional oscillator.