A New Method for Solving the Coupled Equations in the Adiabatic Representation.

Abstract

A new method for solving the coupled equations in the adiabatic representation which arise in quantum mechanical treatment of atomic and molecular collisions is developed. The solutions of the uncoupled adiabatic equations, obtained from the coupled equations in the adiabatic representation by neglecting the coupling terms, are used to derive a set of new exact equations for the purely inelastic effects of the collision. The solutions of the new equations are practically nonoscillatory and can be solved numerically with little computational effort. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1978
Accession Number
ADA061988

Entities

People

  • Vasil K. Babamov

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • California
  • Chemistry
  • Collisions
  • Differential Equations
  • Equations
  • Kinetic Energy
  • Military Research
  • Momentum
  • New Jersey
  • New York
  • Potential Energy
  • Scattering
  • Standards
  • Transitions
  • United States
  • Wave Functions

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Molecular Photonics/Laser Physics

Technology Areas

  • Quantum Computing