Time-Dependent Semiclassical Mechanics

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

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.

TIME-DEPENDENT PHENOMENA CAUSED BY THE EC DECAY IN Co2+ [Fe(CN)6]3-

1980 ◽  
Vol 41 (C1) ◽  
pp. C1-239-C1-240 ◽  
Author(s):  
Takayuki Kobayashi ◽  
Tetsuo Kitahara
Keyword(s):  
Time Dependent
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