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Phonon Green's function.

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
|August 1, 1991
PubMed
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This study introduces a method to calculate the phonon Green's function for a phonon vacuum state using quantum action principles. The approach is applied to analyze the Mossbauer effect in condensed matter physics.

Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Solid-state physics

Background:

  • Phonon Green's functions are crucial for understanding vibrational properties of solids.
  • The quantum action principle offers a powerful framework for quantum field theory calculations.
  • Describing systems starting from a vacuum state is fundamental in quantum physics.

Purpose of the Study:

  • To derive the phonon Green's function for an initial phonon vacuum state.
  • To apply the derived Green's function to a specific physical phenomenon, the Mossbauer effect.
  • To demonstrate the utility of the source and quantum action principle in phonon calculations.

Main Methods:

  • Utilizing the concepts of source and quantum action principle.
  • Developing a formalism for the phonon Green's function.

Related Experiment Videos

  • Applying the formalism to the Mossbauer effect.

    • Main Results:

    • Successfully produced the phonon Green's function for a phonon vacuum state.
    • Demonstrated a viable application of the quantum action principle to phonon dynamics.
    • Provided insights into the Mossbauer effect through the lens of Green's function theory.

    Conclusions:

    • The source and quantum action principle provide an effective method for calculating phonon Green's functions.
    • This approach offers a new perspective for studying phenomena like the Mossbauer effect.
    • The study validates the application of quantum field theory techniques to lattice dynamics.