Time-Dependent Curve Crossing Problem

2019 ◽  
pp. 185-227
Keyword(s):  
Time Dependent ◽  
Curve Crossing

Semiclassical theory of time-dependent curve crossing problems

1997 ◽  
Vol 107 (6) ◽  
pp. 1904-1914 ◽  
Author(s):  
Yoshiaki Teranishi ◽  
Hiroki Nakamura
Keyword(s):  
Time Dependent ◽  
Semiclassical Theory ◽  
Curve Crossing

scholarly journals Beyond the time‐dependent Hartree grid approximation for curve‐crossing problems

1992 ◽  
Vol 96 (5) ◽  
pp. 3613-3623 ◽  
Author(s):  
Jose Campos‐Martinez ◽  
Janet R. Waldeck ◽  
Rob D. Coalson
Keyword(s):  
Time Dependent ◽  
Grid Approximation ◽  
Curve Crossing

Sensitivity of time-dependent vibrational dynamics to curve-crossing topology

1991 ◽  
Vol 40 (S25) ◽  
pp. 141-153 ◽  
Author(s):  
J. Broeckhove ◽  
B. Feyen ◽  
L. Lathouwers
Keyword(s):  
Time Dependent ◽  
Vibrational Dynamics ◽  
Curve Crossing

A GAUSSIAN WAVEPACKET APPROACH FOR CURVE-CROSSING DYNAMICS

2006 ◽  
Vol 05 (02) ◽  
pp. 207-222
Author(s):  
CHRISTOPHER A. TATE ◽  
MICHAEL MESSINA
Keyword(s):  
Probability Density ◽  
Present Method ◽  
Schrodinger Equation ◽  
Numerical Results ◽  
Time Dependent ◽  
Exact Results ◽  
Hartree Approximation ◽  
Trial Solution ◽  
Break Up ◽  
Curve Crossing

We present a Gaussian wavepacket approach for curve-crossing dynamics that only requires a single Gaussian wavepacket per surface. Unlike other Gaussian wavepacket approaches to curve-crossing dynamics, the present method does not rely upon probability density being built up on a non-adiabatically coupled surface by the break-up of an evolving wavepacket. Thus, our trial solution for the time-dependent Schrodinger equation comprised of a single Gaussian wavepacket per non-adiabatically coupled surface. We also present a generalization of the method to treat multi-dimensional systems that is based on the time-dependent Hartree approximation. We present numerical results for both single and multi-dimensional curve-crossing dynamics and compare them to the exact results.

Time-dependent observables and diabatic curve crossing: a model study

1995 ◽  
Vol 330 (1-3) ◽  
pp. 107-111 ◽  
Author(s):  
Alessandro Lami ◽  
Giovanni Villani
Keyword(s):  
Time Dependent ◽  
Model Study ◽  
Curve Crossing
Sign in / Sign up

Export Citation Format

Share Document