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Holon Physics Seminar

New Formulation of Quantum Mechanics using Complex-Valued Classical Trajectories: Methodology and Applications
 
Prof. David J. Tannor, Weizmann Institute
 
April 25, 2017 | 14:00 | Room 424/8
 
 
Abstract:
 
Several years ago, we developed a formulation of the time-dependent Schrodinger equation (TDSE) using complex-valued classical trajectories.
 
The method has a number of appealing features:
  1. it has a simple and rigorous derivation from the TDSE with a precisely formulated approximation; 
  2. it treats classically allowed and classically forbidden processes on the same footing;
  3. it allows the introduction of arbitrary time-dependent external fields into the dynamics seamlessly and rigorously.
 
This talk will have three parts: 
  1. A review of the method and previous applications, including to barrier transmission, bound state dynamics and nonadiabatic dynamics;
  2. Two new methodological advances that open the door to multidimensional systems and long time dynamics, respectively;
  3. Applications made possible by these new advances, including long time wavepacket revivals and preliminary results on strong field attosecond tunneling ionization.

 

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