Semiclassics for Particles with Spin via a Wigner–Weyl-Type Calculus

Omri Gat, Max Lein, Stefan Teufel

研究成果: Article査読

3 被引用数 (Scopus)

抄録

We show how to relate the full quantum dynamics of a spin-½ particle on (Formula presented.)(Formula presented.) to a classical Hamiltonian dynamics on the enlarged phase space (Formula presented.)(Formula presented.)up to errors of second order in the semiclassical parameter. This is done via an Egorov-type theorem for normal Wigner–Weyl calculus for (Formula presented.)(Formula presented.)(Folland, Harmonic Analysis on Phase Space, 1989; Lein, Weyl Quantization and Semiclassics, 2010) combined with the Stratonovich–Weyl calculus for SU(2) (Varilly and Gracia-Bondia, Ann Phys 190:107–148, 1989). For a specific class of Hamiltonians, including the Rabi- and Jaynes–Cummings model, we prove an Egorov theorem for times much longer than the semiclassical time scale. We illustrate the approach for a simple model of the Stern–Gerlach experiment.

本文言語English
ページ(範囲)1967-1991
ページ数25
ジャーナルAnnales Henri Poincare
15
10
DOI
出版ステータスPublished - 2014 10
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 核物理学および高エネルギー物理学
  • 数理物理学

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