Semiclassical expectation values for relativistic particles with spin 1/2

Abstract

For relativistic particles with spin 1/2, which are described by the Dirac equation, a semiclassical trace formula is introduced that incorporates expectation values of observables in eigenstates of the Dirac-Hamiltonian. Furthermore, the semiclassical limit of an average of expectation values is expressed in terms of a classical average of the corresponding classical observable.

19pages, no figures

References in corpus (3)

• A semiclassical approach to the Dirac equation
• Semiclassical limit of the Dirac equation and spin precession
• Semiclassical form factor for chaotic systems with spin 1/2

Cited by in corpus (3)

• High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows
• Quantum cat maps with spin 1/2
• The Gutzwiller Trace Formula for Quantum Systems with Spin