The effect of nonextensivity on the time evolution of the SU(1,1) coherent states driven by a damped harmonic oscillator

2004 ◽  
Vol 337 (1-2) ◽  
pp. 81-88 ◽  
Author(s):  
Serhat F Özeren
Keyword(s):  
Harmonic Oscillator ◽  
Time Evolution ◽  
Coherent States ◽  
Damped Harmonic Oscillator

scholarly journals Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator

2018 ◽  
Vol 59 (11) ◽  
pp. 112101 ◽  
Author(s):  
Latévi M. Lawson ◽  
Gabriel Y. H. Avossevou ◽  
Laure Gouba
Keyword(s):  
Harmonic Oscillator ◽  
Coherent States ◽  
Damped Harmonic Oscillator

Coherent states for the damped harmonic oscillator

1987 ◽  
Vol 36 (11) ◽  
pp. 5287-5291 ◽  
Author(s):  
K. H. Yeon ◽  
C. I. Um ◽  
Thomas F. George
Keyword(s):  
Harmonic Oscillator ◽  
Coherent States ◽  
Damped Harmonic Oscillator

Adiabatic and nonadiabatic evolution of a generalized damped harmonic oscillator

2021 ◽  
pp. 2150201
Author(s):  
I. A. Pedrosa
Keyword(s):  
Harmonic Oscillator ◽  
Geometric Phase ◽  
Coherent States ◽  
Time Dependent ◽  
Expectation Values ◽  
Damped Harmonic Oscillator ◽  
Quantum Properties ◽  
Uncertainty Product ◽  
Dynamical Invariants ◽  
Damped Oscillator

In this work we present a simple and elegant approach to study the adiabatic and nonadiabatic evolution of a generalized damped harmonic oscillator which is described by the generalized Caldirola–Kanai Hamiltonian, in both classical and quantum contexts. Based on time-dependent dynamical invariants, we find that the geometric phase acquired when the damped oscillator evolves adiabatically in time provides a direct connection between the classical Hannay’s angle and the quantum Berry’s phase. In addition, we solve the time-dependent Schrödinger equation for this system and calculate various quantum properties of the damped generalized harmonic one, such as coherent states, expectation values of the position and momentum operators, their quantum fluctuations and the associated uncertainty product.

Coherent states of a damped harmonic oscillator

Pramana ◽  
1985 ◽  
Vol 24 (4) ◽  
pp. 591-594 ◽  
Author(s):  
S K Bose ◽  
U B Dubey ◽  
V N Tewari
Keyword(s):  
Harmonic Oscillator ◽  
Coherent States ◽  
Damped Harmonic Oscillator

Dynamics of SU(1,1) coherent states driven by a damped harmonic oscillator

1989 ◽  
Vol 39 (2) ◽  
pp. 668-674 ◽  
Author(s):  
Christopher C. Gerry ◽  
Philip K. Ma ◽  
Edward R. Vrscay
Keyword(s):  
Harmonic Oscillator ◽  
Coherent States ◽  
Damped Harmonic Oscillator
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