Advances in Solid State Physics
DOI: 10.1007/3-540-44946-9_36
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The Gutzwiller Trace Formula for Quantum Systems with Spin

Abstract: The Gutzwiller trace formula provides a semiclassical approximation for the density of states of a quantum system in terms of classical periodic orbits. In its original form Gutzwiller derived the trace formula for quantum systems without spin. We will discuss the modifications that arise for quantum systems with both translational and spin degrees of freedom and which are either described by Pauli-or Dirac-Hamiltonians. In addition, spectral densities weighted by expectation values of observables will be cons… Show more

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