RELAXATION OF QUANTUM MECHANICAL SYSTEMS

Abstract

A general theory of relaxation was developed. The equation for the time-development of expectation values was shown to be equivalent to the density matrix equation of Bloch (except for a correction in sign of one term). Requirements for the validity of the equation are developed. The relaxation of a quantum oscillator is investigated in both the free and driven cases. An expression for the power absorbed when the oscillator is driven by an external field is given. Equations for multiple time correlation functions of relaxing system quantities are given and applied to a spin 1/2 system. An analysis is set up for the relaxation of an oscillator in a case where memory effects can be included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1962
Accession Number
AD0287935

Entities

People

  • Peter Mengert

Organizations

  • Brandeis University

Tags

DTIC Thesaurus Topics

  • Equations
  • Oscillators

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing
  • Quantum Science - Quantum Dots