A Numerical Study of the Mean Trajectory Approximation in a Non-Adiabatic Process.

Abstract

We present numerical results obtained with the mean trajectory approximation applied to a non-adiabatic process described by a curve crossing model. We compare them to the results given by the customary trajectory approximation which uses one adiabatic potential to generate the nuclear motion, and to the results given by Nikitin's formula. We find that at low kinetic energy the three procedures give very different results. The differences are caused by the fact that the mean trajectory method includes quantum effect in the effective potential used for the classical motion. We also discover an unexpected behavior: under certain conditions the transition probability seems to become a random function of the incident energy. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA152763

Entities

People

  • H. Metiu
  • S. Sawada

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Adiabatic Processes
  • Collisions
  • Couplings
  • Crossings
  • Dynamics
  • Electronic States
  • Energy
  • Equations
  • Kinetic Energy
  • Military Research
  • Potential Energy
  • Probability
  • Quantum Mechanics
  • Trajectories
  • Transitions
  • Wave Functions
  • Wave Packets

Fields of Study

  • Mathematics
  • Physics

Readers

  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Quantum Computing