23 citations · 24 across the 8 of their papers we have counts for
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Remarks to the Resonance-Decay Problem in Quantum Mechanics from a mathematical point of view
Hellmut Baumgärtel
The description of bumps in scattering cross-sections by Breit-Wigner amplitudes led in the framework of the mathematical Physics to its formulation as the so-called Resonance-Deca…
Decay Semigroups for the Resonances of Quantum Mechanical Scattering Systems
Hellmut Baumgärtel
For selected classes of quantum mechanical Hamiltonians a canonical association of a decay semigroup is presented. The spectrum of the generator of this semigroup is a pure eigenva…
The eigenvalue problem for the resonances of the infinite-dimensional Friedrichs model on the positive half line with Hilbert-Schmidt perturbations
Hellmut Baumgärtel
A Gelfand triplet for the Hamiltonian H of the infinite-dimensional Friedrichs model on the positive half line with Hilbert-Schmidt perturbations is constructed such that exactly t…
Generalized Eigenvectors for Resonances in the Friedrichs Model and Their Associated Gamov Vectors
Hellmut Baumgärtel
A Gelfand triplet for the Hamiltonian H of the Friedrichs model on R with finite-dimensional multiplicity space K, is constructed such that exactly the resonances (poles of the inv…