Hamilton-jacobi dynamics for the solution of time dependent quantum problems I. Formalism and wave packet propagation in one dimension

1994 ◽  
Vol 98 (4) ◽  
pp. 554-559 ◽  
Author(s):  
Ersin Yurtsever ◽  
Jürgen Brickmann
Keyword(s):  
Wave Packet ◽  
Time Dependent ◽  
One Dimension ◽  
Jacobi Dynamics

Distributed approximating function approach to time‐dependent wave‐packet propagation in more than one dimension: Inelastic collinear atom–diatom collisions

1993 ◽  
Vol 99 (2) ◽  
pp. 1028-1034 ◽  
Author(s):  
Youhong Huang ◽  
Donald J. Kouri ◽  
Mark Arnold ◽  
Thomas L. Marchioro ◽  
David K. Hoffman
Keyword(s):  
Wave Packet ◽  
Time Dependent ◽  
Function Approach ◽  
One Dimension

Time-dependent wave-packet approach to the quantum transport of carbon nanotubes with vacancies

2007 ◽  
Vol 601 (22) ◽  
pp. 5266-5269 ◽  
Author(s):  
Hiroyuki Ishii ◽  
Nobuhiko Kobayashi ◽  
Kenji Hirose
Keyword(s):  
Carbon Nanotubes ◽  
Wave Packet ◽  
Quantum Transport ◽  
Time Dependent

A comparative study of time dependent quantum mechanical wave packet evolution methods

1992 ◽  
Vol 96 (3) ◽  
pp. 2077-2084 ◽  
Author(s):  
Thanh N. Truong ◽  
John J. Tanner ◽  
Piotr Bala ◽  
J. Andrew McCammon ◽  
Donald J. Kouri ◽  
...  
Keyword(s):  
Wave Packet ◽  
Comparative Study ◽  
Time Dependent ◽  
Quantum Mechanical ◽  
Mechanical Wave ◽  
Quantum Mechanical Wave Packet

GEOMETRIC PHASES, SQUEEZED QUANTUM STATES AND GAUSSIAN WAVE PACKET STATES OF RELIC GRAVITONS

2012 ◽  
Vol 18 ◽  
pp. 13-17
Author(s):  
K. BAKKE ◽  
I. A. PEDROSA ◽  
C. FURTADO
Keyword(s):  
Wave Packet ◽  
Linear Time ◽  
Invariant Operator ◽  
Quantum States ◽  
Time Dependent ◽  
Gaussian Wave Packet ◽  
Geometric Phases ◽  
Uncertainty Product ◽  
Quantized Field ◽  
Generalized Time

In this contribution, we discuss quantum effects on relic gravitons described by the Friedmann-Robertson-Walker (FRW) spacetime background by reducing the problem to that of a generalized time-dependent harmonic oscillator, and find the corresponding Schrödinger states with the help of the dynamical invariant method. Then, by considering a quadratic time-dependent invariant operator, we show that we can obtain the geometric phases and squeezed quantum states for this system. Furthermore, we also show that we can construct Gaussian wave packet states by considering a linear time-dependent invariant operator. In both cases, we also discuss the uncertainty product for each mode of the quantized field.

Time-dependent wave packet study on trans-cis isomerization of HONO

2004 ◽  
Vol 120 (13) ◽  
pp. 6072-6084 ◽  
Author(s):  
Falk Richter ◽  
Pavel Rosmus ◽  
Fabien Gatti ◽  
Hans-Dieter Meyer
Keyword(s):  
Wave Packet ◽  
Time Dependent
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