Semiclassical mechanics for time‐dependent Wigner functions

1993 ◽  
Vol 34 (6) ◽  
pp. 2185-2205 ◽  
Author(s):  
Sam L. Robinson
Keyword(s):  
Time Dependent ◽  
Wigner Functions ◽  
Semiclassical Mechanics

Wigner functions of a particle in a time-dependent uniform field

1984 ◽  
Vol 102 (7) ◽  
pp. 295-297 ◽  
Author(s):  
V.V. Dodonov ◽  
V.I. Man'ko ◽  
O.V. Shakhmistova
Keyword(s):  
Time Dependent ◽  
Uniform Field ◽  
Wigner Functions

A NEW SEMICLASSICAL DYNAMICS FROM THE INTERACTION REPRESENTATION

2005 ◽  
Vol 04 (04) ◽  
pp. 1093-1100 ◽  
Author(s):  
STEVEN D. SCHWARTZ
Keyword(s):  
Evolution Operator ◽  
Specific Interaction ◽  
Time Dependent ◽  
Zeroth Order ◽  
Exact Quantum ◽  
Semiclassical Dynamics ◽  
Semiclassical Mechanics ◽  
Dependent Interaction

This paper develops a new semiclassical mechanics from an exact quantum prescription. In this formulation, a zeroth order propagation, rather than Hamiltonian, is specified. The exact, full evolution operator is then given from a specific interaction representation of the evolved "perturbation" Hamiltonian. We then investigate a variety of approximate, semiclassical, and mixed Quantum/Classical methods, along with exact methodologies to evaluate this time dependent interaction Hamiltonian. The approximate full evolution operator can be described in a variety of ways including an iterated Lippman-Schwinger like equation, and an expansion of the perturbation propagator generated from the time evolved Hamiltonian.

scholarly journals Dynamics of Gaussian Wigner functions derived from a time-dependent variational principle

AIP Advances ◽  
2017 ◽  
Vol 7 (11) ◽  
pp. 115018 ◽  
Author(s):  
Jens Aage Poulsen ◽  
S. Karl-Mikael Svensson ◽  
Gunnar Nyman
Keyword(s):  
Variational Principle ◽  
Time Dependent ◽  
Wigner Functions

Time-Dependent Semiclassical Mechanics

2007 ◽  
pp. 191-304 ◽  
Author(s):  
Miguel Angel Sepúlveda ◽  
Frank Grossmann
Keyword(s):  
Time Dependent ◽  
Semiclassical Mechanics
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