5 papers
Quantum-classical correspondence on associated vector bundles over locally symmetric spaces
Benjamin Küster, Tobias Weich
For a compact Riemannian locally symmetric space of rank one and an associated vector bundle over the unit cosphere bundle , we give a…
Singular oscillatory integrals in equivariant cohomology. Residue formulae for basic differential forms on general symplectic manifolds
Panagiotis Konstantis, Benjamin Küster, Pablo Ramacher
Let be a symplectic manifold and a connected, compact Lie group acting on in a Hamiltonian way. In this paper, we study the equivariant cohomology of represented by…
Semiclassical analysis and symmetry reduction II. Equivariant quantum ergodicity for invariant Schrödinger operators on compact manifolds
Benjamin Küster, Pablo Ramacher
We study the ergodic properties of Schrödinger operators on a compact connected Riemannian manifold without boundary in case that the underlying Hamiltonian system possesses ce…
Semiclassical analysis and symmetry reduction I. Equivariant Weyl law for invariant Schrödinger operators on compact manifolds
Benjamin Küster, Pablo Ramacher
We study the spectral properties of Schrödinger operators on a compact connected Riemannian manifold without boundary in case that the underlying Hamiltonian system possesses c…
Semiclassical functional calculus for -dependent functions
Benjamin Küster
We study the functional calculus for operators of the form within the theory of semiclassical pseudodifferential operators, where $\{f_h\}_{h\in (0,1]}\subset C^\infty_…