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  The Effective Hamiltonian and Ehrenfest Theorem in the Propagation Dynamics of Nonspreading Wave Packets
 

 

 
 

Time: 1:20pm, October 27 (Thursday)

Title: The Effective Hamiltonian and Ehrenfest Theorem in the Propagation Dynamics of Nonspreading Wave Packets

Speaker: Prof. Chyi-Lung LIN
   (Department of Physics, Soochow University)

Place: Science Building III 1F SC157

Abstract:
We analyze the propagation dynamics of nonspreading wave packets by decomposing the Hamiltonian H into two parts:
H = Hi(t) + Hc(t). The first part Hi (t) is such that Ψ(x; t)
is its instantaneous eigenstate, and is therefore irrelevant to the propagation of the packet.
The second part Hc(t) is shown to be the effective Hamiltonian governing the propagation dynamics
of nonspreading wave packets both quantum mechanically and classically.
The Ehrenfest theorem is thus based on the Hamiltonian Hc(t) connecting quantum mechanics
and classical mechanics. This analysis also works for non-square-integrable packets, such as Airy
packets, and explains why Airy packets can self-accelerate in free space.

Published in CJP 52, P. 1413 (2014)

 

     
 

Update: 2016/10/17
Contacts: Li-Chun Chen

 
   
 
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