scholarly journals Quantum initial value representations using approximate Bohmian trajectories

2003 ◽  
Vol 119 (3) ◽  
pp. 1358-1364 ◽  
Author(s):  
Eric R. Bittner
Keyword(s):  
Initial Value ◽  
Bohmian Trajectories ◽  
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

Bestimmung des zerebralen Blutflusses mittels des 81 Rb/81 mKr-Generatorsystems

1990 ◽  
Vol 29 (01) ◽  
pp. 7-12 ◽  
Author(s):  
J. Bialy ◽  
F.-J. Hans ◽  
E. Oberhausen ◽  
W.J. Peters ◽  
M. Schmitt ◽  
...  
Keyword(s):  
Blood Flow ◽  
Cerebral Blood Flow ◽  
Blood Circulation ◽  
Semiconductor Device ◽  
Animal Experiments ◽  
Initial Value ◽  
Brain Arteries ◽  
Sufficient Concentration ◽  
Static Quantity

A method is being developed which not only measures cerebral blood flow as a static quantity but also its changes with time. For that purpose a semiconductor device ascertains the proportion of intracerebral81 Rb and 81mKr activities. By opening the haemato-encephalic barrier in animal experiments a sufficient concentration of intracerebral81 Rb could be attained and the modified blood circulation after step-wise ligature of all brain arteries brought into relation to the corresponding Rb/Kr quotient. Over the range from undisturbed to completely interrupted cerebral blood flow this quotient varied up to 25% of its initial value.

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