Representation of Semigroups in Rigged Hilbert Spaces: Subsemigroups of the Weyl-Heisenberg Group

Abstract

This paper studies how differentiable representations of certain subsemigroups of the Weyl-Heisenberg group may be obtained in suitably constructed rigged Hilbert spaces. These semigroup representations are induced from a continuous unitary representation of the Weyl-Heisenberg group in a Hilbert space. Aspects of the rigged Hilbert space formulation of time asymmetric quantum mechanics are also investigated within the context of the results developed here.

References in corpus (2)

• Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics
• Semigroup Representations of the Poincare Group and Relativistic Gamow Vectors

Cited by in corpus (1)

• The Lerch zeta function and the Heisenberg group