4 papers
Semiclassical time evolution and quantum ergodicity for Dirac-Hamiltonians
Jens Bolte, Rainer Glaser
Within the framework of Weyl calculus we establish a quantum-classical correspondence for the time evolution of observables generated by a Dirac-Hamiltonian. This includes a semicl…
Comment on: ``Semiclassical theory of spin-orbit interactions using spin coherent states''
Jens Bolte, Rainer Glaser, Stefan Keppeler
We point out that a certain kind of combined classical translational and spin dynamics -- claimed in [M. Pletyukhov, et al. Phys. Rev. Lett. 89 (2002) 116601] to arise from the Pau…
The Gutzwiller Trace Formula for Quantum Systems with Spin
Jens Bolte
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 Gutzwi…
A spectral correspondence for Maass waveforms
Jens Bolte, Stefan Johansson
Let O^1 be a (cocompact) Fuchsian group, given as the group of units of norm one in a maximal order O in an indefinite quaternion division algebra over Q. Using the (classical) Sel…