On the Semi-Classical Expansion in Quantum Mechanics for Arbitrary Hamiltonians,

Abstract

The purpose of this paper is to extend to a very wide class of Hamiltonians the range of validity of a well-known and oft-used expression for the semi-classical (WKB) approximation to the quantum-mechanical propagator K((q sub b),(t sub b);(q sub a),(t sub a)) identically equal to ((q sub a),(t sub b)/(q sub a),(t sub a)), or probability amplitude that a particle at (q sub a) at time (t sub a) will arrive at (q sub b) at time (t sub b).

Document Details

Document Type
Technical Report
Publication Date
May 01, 1976
Accession Number
ADA025441

Entities

People

  • Maurice M. Mizrahi

Organizations

  • Center for Naval Analyses

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Mechanics
  • Particles
  • Probability
  • Quantum Mechanics

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing