Multiple trajectory theory for curve-crossing problems obtained by using a Gaussian wave-packet representation of the nuclear motion
Technical Report
·
OSTI ID:5485020
This study is concerned with the time-dependent quantum theory of collision of heavy particles that result in the excitation of internal degrees of freedom, such as electronic excitations or charge transfer. Attempts to treat the motion of the heavy particle classically encounter difficulties typical to all problems in which the classical degrees of freedom are strongly coupled to quantum degrees of freedom: They lack a feedback mechanism that will force the classical degree of freedom to respond to the excitation of the quantum companion. To avoid such difficulties we propose a method in which the nuclear wave function associated with each electronic state is represented by a Gaussian wave packet. Each packet is propagated by the time-dependent Schrodinger equation on a different electronic energy surface in a manner that resembles classical mechanics but preserves many quantum properties such as Heisenberg uncertainty principle, quantum interference, zero point motion, and the quantum mechanical rules for computing observables. Various limiting cases are discussed in detail and compared numerically.
- Research Organization:
- California Univ., Santa Barbara (USA). Quantum Inst.
- OSTI ID:
- 5485020
- Report Number(s):
- AD-A-166574/4/XAB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
640305 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
COLLISIONS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EXCITATION
FEEDBACK
FERMIONS
GRAPHS
INTERFERENCE
LEPTONS
MECHANICS
NUCLEAR MOLECULES
PARTICLES
QUANTUM MECHANICS
SURFACE PROPERTIES
TIME DEPENDENCE
WAVE PACKETS
Molecular & Chemical Physics-- Collision Phenomena
640305 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
COLLISIONS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EXCITATION
FEEDBACK
FERMIONS
GRAPHS
INTERFERENCE
LEPTONS
MECHANICS
NUCLEAR MOLECULES
PARTICLES
QUANTUM MECHANICS
SURFACE PROPERTIES
TIME DEPENDENCE
WAVE PACKETS