HARMONIC OSCILLATOR PHASE OPERATORS,

Abstract

Recent work on the quantum mechanical definition of harmonic oscillator phase is reviewed briefly and then reconsidered from a somewhat more systematic and general viewpoint. Starting with the classical Poisson bracket relations between the oscillator Hamiltonian and the sine and cosine of the phase angle, the possibility of using other operators than those used heretofore is discussed. For a broad class of such operators the spectra are obtained without resort to non-normalizable 'eigenvectors.' The so-called 'coherent states' are minimum uncertainty product states for phase and number in all cases considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1966
Accession Number
AD0639952

Entities

People

  • Edward C. Lerner

Organizations

  • Brandeis University

Tags

DTIC Thesaurus Topics

  • Algebra
  • Diffraction
  • Eigenvectors
  • Electronic Equipment
  • Linear Algebra
  • Mathematics
  • Oscillators
  • Spectra
  • Uncertainty

Fields of Study

  • Physics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Structural Dynamics.
  • Systems Analysis and Design

Technology Areas

  • Quantum Computing