A Gaussian Wave Packet Method for Studying Time Dependent Quantum Mechanics in a Curve Crossing System: Low Energy Motion, Tunneling and Thermal Dissipation.

Abstract

We explore numerically the behavior of a method of describing the time dependent quantum mechanics of a curve crossing system. The two nuclear wave functions corresponding to the two electronic states are each described by a Gaussian wave packet. The packet describing the incident state mimics the initial wave function, and the other packet is created by the time dependent Schroedinger equation. They are both propagated by using a variational method. The packets interact and we do not assume that they have a small width. Exploratory calculations are made for curve crossing dynamics at low kinetic energy above the barrier of the lowest adiabatic state, for tunneling, for multiple crossings, and for a curve crossing system which is strongly coupled to a harmonic bath whose motion is described by a mean trajectory classical Langevin method.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1986
Accession Number
ADA166262

Entities

People

  • Horia Metiu
  • Shin-ichi Sawada

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • California
  • Computational Science
  • Differential Equations
  • Diffraction
  • Dissipation
  • Dynamics
  • Electronic States
  • Energy
  • Energy Transfer
  • Equations
  • High Temperature
  • Integrals
  • Military Research
  • Quantum Mechanics
  • Scattering
  • United States
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Quantum Chemistry

Technology Areas

  • Microelectronics
  • Quantum Computing