Exact Wave Functions and Coherent States of a Damped Driven Harmonic Oscillator

Abstract

For a damped oscillator forced by a time-dependent field, the exact wave function is obtained by three different methods: (i) Path-integral, (ii) Second quantization and (iii) Dynamical invariant. The explicit form of the dynamical invariant involves a solution to a corresponding auxiliary equation. The coherent states, defined as eigenstates of a new destruction operator, form a nonorthogonal, over complete set and correspond to the minimum uncertainty states. These coherent states give the exact classical motion of the damped driven harmonic oscillator.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1989
Accession Number
ADA205785

Entities

People

  • C. I. Um
  • H. G. Oh
  • H. R. Lee
  • Thomas F. George

Organizations

  • University at Buffalo

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Chemical Engineering
  • Chemistry
  • Differential Equations
  • Engineering
  • Equations
  • Integrals
  • Materials
  • Materials Science
  • Military Research
  • New York
  • Path Integrals
  • United States
  • Universities
  • Wave Equations
  • Wave Functions

Fields of Study

  • Physics

Readers

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