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Phonon representations.

J Schwinger1

  • 1Department of Physics, University of California, Los Angeles, CA 90024, USA.

Proceedings of the National Academy of Sciences of the United States of America
|September 1, 1990
PubMed
Summary
This summary is machine-generated.

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This study bridges the gap between lattice-phonon and Einstein oscillator models by transforming the phonon Hamiltonian. The normalized wave function for the phonon vacuum state in particle coordinates is presented.

Area of Science:

  • Solid-state physics
  • Quantum mechanics

Background:

  • The existing descriptions of phonons often fall into two categories: nonlocalized lattice-phonon models and localized Einstein oscillator treatments.
  • A conceptual gap exists between these two descriptions, hindering a unified understanding.

Purpose of the Study:

  • To bridge the conceptual gap between nonlocalized lattice-phonon descriptions and localized Einstein oscillator treatments.
  • To provide a unified theoretical framework for phonon behavior.

Main Methods:

  • The phonon Hamiltonian was transformed back to particle variables.
  • This transformation facilitates a connection between the two previously disparate descriptions.

Main Results:

  • The transformation successfully reconciles the nonlocalized and localized phonon descriptions.

Related Experiment Videos

  • The particle-coordinate, normalized, wave function for the phonon vacuum state was derived and exhibited.

    • Conclusions:

    • The transformation of the phonon Hamiltonian offers a unified approach to understanding phonon behavior.
    • The derived wave function provides a concrete representation of the phonon vacuum state in particle coordinates.