scholarly journals Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations

2021 ◽  
pp. 89-113
Author(s):  
Clotilde Fermanian Kammerer ◽  
Caroline Lasser ◽  
Didier Robert
Keyword(s):  
Wave Packets ◽  
Adiabatic Evolution ◽  
Initial Value ◽  
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

scholarly journals Long-time and unitary properties of semiclassical initial value representations

2004 ◽  
Vol 120 (1) ◽  
pp. 26-30 ◽  
Author(s):  
C. Harabati ◽  
J. M. Rost ◽  
F. Grossmann
Keyword(s):  
Initial Value ◽  
Long Time ◽  
Initial Value Representations

Interferometric (Fourier-Spectroscopic) Measurement of Electron Energy Distributions

1990 ◽  
Vol 48 (2) ◽  
pp. 110-111 ◽  
Author(s):  
F. Hasselbach ◽  
A. Schäfer
Keyword(s):  
Group Velocity ◽  
Wave Packets ◽  
Index Of Refraction ◽  
Electron Wave ◽  
Fringe Contrast ◽  
Faraday Cage ◽  
Optical Index ◽  
Wien Filter ◽  
Coherent Wave ◽  
Electric And Magnetic Fields

Möllenstedt and Wohland proposed in 1980 two methods for measuring the coherence lengths of electron wave packets interferometrically by observing interference fringe contrast in dependence on the longitudinal shift of the wave packets. In both cases an electron beam is split by an electron optical biprism into two coherent wave packets, and subsequently both packets travel part of their way to the interference plane in regions of different electric potential, either in a Faraday cage (Fig. 1a) or in a Wien filter (crossed electric and magnetic fields, Fig. 1b). In the Faraday cage the phase and group velocity of the upper beam (Fig.1a) is retarded or accelerated according to the cage potential. In the Wien filter the group velocity of both beams varies with its excitation while the phase velocity remains unchanged. The phase of the electron wave is not affected at all in the compensated state of the Wien filter since the electron optical index of refraction in this state equals 1 inside and outside of the Wien filter.

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