Derivation of semiclassical asymptotic initial value representations of the quantum propagator

2006 ◽  
Vol 322 (1-2) ◽  
pp. 13-22 ◽  
Author(s):  
E. Martín-Fierro ◽  
J.M. Gomez Llorente
Keyword(s):  
Initial Value ◽  
Quantum Propagator ◽  
Initial Value Representations

PREFACTOR-FREE FORWARD-BACKWARD SEMICLASSICAL DYNAMICS

2003 ◽  
Vol 02 (03) ◽  
pp. 419-437 ◽  
Author(s):  
YUN-AN YAN ◽  
JIUSHU SHAO
Keyword(s):  
Differential Expression ◽  
Quantum Dynamics ◽  
Numerical Calculations ◽  
Initial Value ◽  
Semiclassical Dynamics ◽  
Semiclassical Approximations ◽  
Initial Value Representations

Within a differential expression of the Heisenberg operator, the forward and backward evolution can be joined together along a closed time contour. This manipulation leads to a dramatic cancellation of oscillations due to the two individual propagators in the Heisenberg operator and the resulting forward-backward propagator is more tractable to semiclassical approximations. This article gives a detailed description of the forward-backward semiclassical dynamics (FBSD) formalism. The semiclassical propagators, especially those of the initial value representations (IVRs), are briefly discussed. The derivation of the FBSD based on the Herman–Kluk propagator is reviewed. Different FBSD formulations with other semiclassical IVRs are worked out and numerical calculations show that they are also capable of describing quantum dynamics semiquantitatively and all display accuracy similar to the classical Wigner method.

scholarly journals Quantum and semiclassical phase-space dynamics of a wave packet in strong fields using initial-value representations

2014 ◽  
Vol 16 (10) ◽  
pp. 103040 ◽  
Author(s):  
C Zagoya ◽  
J Wu ◽  
M Ronto ◽  
D V Shalashilin ◽  
C Figueira de Morisson Faria
Keyword(s):  
Phase Space ◽  
Wave Packet ◽  
Initial Value ◽  
Strong Fields ◽  
Space Dynamics ◽  
Initial Value Representations
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