Integrability and nonintegrability of quantum systems. II. Dynamics in quantum phase space

1990 ◽  
Vol 42 (12) ◽  
pp. 7125-7150 ◽  
Author(s):  
Wei-Min Zhang ◽  
Da Hsuan Feng ◽  
Jian-Min Yuan
Keyword(s):  
Phase Space ◽  
Quantum Systems ◽  
Quantum Phase

Transport in open quantum systems: comparing classical and quantum phase space dynamics

2008 ◽  
Vol 7 (3) ◽  
pp. 259-262 ◽  
Author(s):  
D. K. Ferry ◽  
R. Akis ◽  
R. Brunner ◽  
R. Meisels ◽  
F. Kuchar ◽  
...  
Keyword(s):  
Phase Space ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Quantum Phase ◽  
Open Quantum ◽  
Space Dynamics

scholarly journals Quantum phase-space analysis of the pendular cavity

2004 ◽  
Vol 70 (4) ◽  
Author(s):  
M. K. Olsen ◽  
A. B. Melo ◽  
K. Dechoum ◽  
A. Z. Khoury
Keyword(s):  
Phase Space ◽  
Quantum Phase ◽  
Phase Space Analysis ◽  
Space Analysis

One-Dimensional Harmonic Oscillator in Quantum Phase Space

2011 ◽  
Vol 110-116 ◽  
pp. 3750-3754
Author(s):  
Jun Lu ◽  
Xue Mei Wang ◽  
Ping Wu
Keyword(s):  
Phase Space ◽  
Harmonic Oscillator ◽  
Quantum Phase ◽  
Space Representation ◽  
Wave Mechanics ◽  
One Dimensional ◽  
Matrix Mechanics ◽  
The Matrix ◽  
Quantum Wave ◽  
The One

Within the framework of the quantum phase space representation established by Torres-Vega and Frederick, we solve the rigorous solutions of the stationary Schrödinger equations for the one-dimensional harmonic oscillator by means of the quantum wave-mechanics method. The result shows that the wave mechanics and the matrix mechanics are equivalent in phase space, just as in position or momentum space.

scholarly journals Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay

2018 ◽  
Vol 32 (25) ◽  
pp. 1850276 ◽  
Author(s):  
Ludmila Praxmeyer ◽  
Konstantin G. Zloshchastiev
Keyword(s):  
Phase Space ◽  
Density Operator ◽  
Quantum Systems ◽  
Matrix Approach ◽  
Weyl Transform ◽  
Energy Eigenvalues ◽  
Decay Constants ◽  
Dissipative Effects ◽  
Mean Lifetime ◽  
Space Formulation

The Wigner–Weyl transform and phase space formulation of a density matrix approach are applied to a non-Hermitian model which is quadratic in positions and momenta. We show that in the presence of a quantum environment or reservoir, mean lifetime and decay constants of quantum systems do not necessarily take arbitrary values, but could become functions of energy eigenvalues and have a discrete spectrum. It is demonstrated also that a constraint upon mean lifetime and energy appears, which is used to derive the resonance conditions at which long-lived states occur. The latter indicate that quantum dissipative effects do not always lead to decay but, under certain conditions, can support stability of a system.

scholarly journals Quantum phase space with a basis of Wannier functions

2018 ◽  
Vol 2018 (2) ◽  
pp. 023113 ◽  
Author(s):  
Yuan Fang ◽  
Fan Wu ◽  
Biao Wu
Keyword(s):  
Phase Space ◽  
Quantum Phase ◽  
Wannier Functions
Sign in / Sign up

Export Citation Format

Share Document