Time-dependent Fourier grid Hamiltonian method for studying the curve crossing dynamics: Dynamics of predissociation of NaI

2002 ◽  
Vol 88 (3) ◽  
pp. 310-316 ◽  
Author(s):  
Chandan Kumar Modal ◽  
S. P. Bhattacharyya
Keyword(s):  
Time Dependent ◽  
Hamiltonian Method ◽  
Curve Crossing

Adiabatic switching in time-dependent Fourier grid Hamiltonian method: some test cases

1996 ◽  
Vol 206 (3) ◽  
pp. 315-324 ◽  
Author(s):  
S. Adhikari ◽  
P. Dutta ◽  
S.P. Bhattacharyya
Keyword(s):  
Time Dependent ◽  
Test Cases ◽  
Hamiltonian Method ◽  
Adiabatic Switching

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.

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