Semiclassical Mechanics with Molecular Applications

Author(s):  
M. S. Child
1992 ◽  
Vol 45 (5) ◽  
pp. 3093-3103 ◽  
Author(s):  
Kristin D. Krantzman ◽  
John A. Milligan ◽  
David Farrelly

SIAM Review ◽  
1985 ◽  
Vol 27 (4) ◽  
pp. 485-504 ◽  
Author(s):  
Joseph B. Keller

2012 ◽  
Vol 45 (6) ◽  
pp. 065209 ◽  
Author(s):  
Vincenzo Aquilanti ◽  
Hal M Haggard ◽  
Austin Hedeman ◽  
Nadir Jeevanjee ◽  
Robert G Littlejohn ◽  
...  

1997 ◽  
Vol 8 (3) ◽  
pp. 103-111 ◽  
Author(s):  
Karl Sohlberg ◽  
Robert E Tuzun ◽  
Bobby G Sumpter ◽  
Donald W Noid

2005 ◽  
Vol 04 (04) ◽  
pp. 1093-1100 ◽  
Author(s):  
STEVEN D. SCHWARTZ

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.


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