The Berry connection and Born–Oppenheimer method

  • A. Bohm
    Center for Particle Theory, The University of Texas at Austin, Austin, Texas 78712
  • B. Kendrick
    Center for Particle Theory, The University of Texas at Austin, Austin, Texas 78712
  • Mark E. Loewe
    Center for Particle Theory, The University of Texas at Austin, Austin, Texas 78712
  • L. J. Boya
    Center for Particle Theory, The University of Texas at Austin, Austin, Texas 78712

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説明

<jats:p>By performing the most general Born–Oppenheimer procedure, the (non-Abelian) Berry connection for quantum systems in a quantum environment is derived. This method is then applied to the rapid rotation of a particle about a slowly changing axis, as exemplified by the electronic motion of a diatomic molecule. The angular part of the resulting dynamics for the quantum environment is equivalent to that of a monopole.</jats:p>

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