scholarly journals Exact wave function of the coupled harmonic oscillator with time-dependent mass and frequency

2009 ◽  
Vol 58 (4) ◽  
pp. 2164
Author(s):  
Ling Rui-Liang ◽  
Feng Jin-Fu
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Time Dependent ◽  
Exact Wave Function ◽  
Dependent Mass ◽  
Coupled Harmonic Oscillator

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.

The exact evolution of the time-dependent driven damped harmonic oscillator with time-dependent mass and frequency

2002 ◽  
Vol 80 (12) ◽  
pp. 1559-1569 ◽  
Author(s):  
M Liang ◽  
B Yuan ◽  
K Zhong
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Classical Trajectory ◽  
Wave Functions ◽  
Time Dependent ◽  
Quantization Scheme ◽  
Dynamical Phase ◽  
Damped Harmonic Oscillator ◽  
Total Phase ◽  
Dependent Mass

Under a new quantization scheme, the exact wave functions of the time-dependent driven damped harmonic oscillator with time-dependent mass and frequency are obtained. The wave functions are shape-unchanging wave packet with the center moving along the classical trajectory. The total phase of the wave function is explicitly expressed as the sum of the dynamical phase and the geometrical phase. PACS Nos.: 03.65-w, 05.40-a

WAVE FUNCTION OF THE TIME-DEPENDENT INVERTED HARMONIC OSCILLATOR

2002 ◽  
Vol 16 (17) ◽  
pp. 637-643 ◽  
Author(s):  
I. A. PEDROSA ◽  
I. GUEDES
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Time Dependent ◽  
Weber Function ◽  
Invariant Method ◽  
Dependent Mass

Time-dependent mass and frequency inverted harmonic oscillator is discussed in light of the Lewis and Reisenfeld invariant method. The wave function is found in terms of the Weber function. As an example, we derive the wave function of the inverted Caldirola-Kanai oscillator.

Exact wave function of a harmonic plus an inverse harmonic potential with time-dependent mass and frequency

1998 ◽  
Vol 58 (2) ◽  
pp. 1574-1577 ◽  
Author(s):  
Chung-In Um ◽  
Shang-Moon Shin ◽  
Kyu-Hwang Yeon ◽  
Thomas F. George
Keyword(s):  
Wave Function ◽  
Time Dependent ◽  
Harmonic Potential ◽  
Exact Wave Function ◽  
Dependent Mass

On the Quantization Problem of a Driven Harmonic Oscillator with Time Dependent Mass and Frequency

2003 ◽  
Vol 17 (18) ◽  
pp. 983-990 ◽  
Author(s):  
Swapan Mandal
Keyword(s):  
Harmonic Oscillator ◽  
Time Dependent ◽  
Present Solution ◽  
Quadratic Hamiltonian ◽  
Dependent Mass ◽  
Quantization Problem

The quantization of a driven harmonic oscillator with time dependent mass and frequency (DHTDMF) is considered. We observe that the driven term has no influence on the quantization of the oscillator. It is found that the DHTDMF corresponds the general quadratic Hamiltonian. The present solution is critically compared with existing solutions of DHTDMF.

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