scholarly journals Exact solution for a harmonic oscillator with a time-dependent inverse square po tential by path-integral

2003 ◽  
Vol 52 (12) ◽  
pp. 2957
Author(s):  
Wang Ping ◽  
Yang Xin-E ◽  
Song Xiao-Hui
Keyword(s):  
Exact Solution ◽  
Harmonic Oscillator ◽  
Path Integral ◽  
Time Dependent

JOINT ENTROPY OF THE HARMONIC OSCILLATOR WITH TIME-DEPENDENT MASS AND/OR FREQUENCY

2009 ◽  
Vol 23 (11) ◽  
pp. 2449-2461 ◽  
Author(s):  
ETHEM AKTÜRK ◽  
ÖZGÜR ÖZCAN ◽  
RAMAZAN SEVER
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Path Integral ◽  
Integral Method ◽  
Time Dependent ◽  
Joint Entropy ◽  
Feynman Path Integral ◽  
Feynman Path ◽  
Path Integral Method ◽  
Dependent Mass

Time-dependent joint entropy is obtained for harmonic oscillator with the time-dependent mass and frequency case. It is calculated by using time-dependent wave function obtained via Feynman path integral method. Variation of time dependence is investigated for various cases.

Exact Solution of a Time‐Dependent Quantal Harmonic Oscillator with a Singular Perturbation

1971 ◽  
Vol 12 (10) ◽  
pp. 2040-2043 ◽  
Author(s):  
P. Camiz ◽  
A. Gerardi ◽  
C. Marchioro ◽  
E. Presutti ◽  
E. Scacciatelli
Keyword(s):  
Exact Solution ◽  
Singular Perturbation ◽  
Harmonic Oscillator ◽  
Time Dependent

Path integral for new models of time-dependent harmonic oscillators

2020 ◽  
Vol 17 (02) ◽  
pp. 2050029
Author(s):  
Badri Berrabah ◽  
Baya Bentag
Keyword(s):  
Harmonic Oscillator ◽  
Path Integral ◽  
Direct Method ◽  
Path Integrals ◽  
Harmonic Oscillators ◽  
Time Dependent ◽  
New Models ◽  
Normalized Solutions ◽  
Dependent Mass

We have presented a particular direct method to solve time-dependent quantum problems within the framework of path integrals by using explicitly time-dependent transformations. We have applied it to the case of harmonic oscillator with time-dependent mass and frequency. Some examples have illustrated the method used. From their exact propagators, normalized solutions have been obtained.

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