TY - JOUR A1 - Baumgärtel, Hellmut T1 - A Characteristic decay semigroup for the resonances of trace class perturbations with analyticity conditions of semibounded hamiltonians JF - International journal of theoretical physic N2 - To asymptotic complete scattering systems {M(+) + V, M(+)} on H(+) := L(2)(R(+), K, d lambda), where M(+) is the multiplication operator on H(+) and V is a trace class operator with analyticity conditions, a decay semigroup is associated such that the spectrum of the generator of this semigroup coincides with the set of all resonances (poles of the analytic continuation of the scattering matrix into the lower half plane across the positive half line), i.e. the decay semigroup yields a "time-dependent" characterization of the resonances. As a counterpart a "spectral characterization" is mentioned which is due to the "eigenvalue-like" properties of resonances. KW - Resonances KW - Scattering theory KW - Lax-Phillips theory KW - Decay semigroups Y1 - 2011 U6 - https://doi.org/10.1007/s10773-010-0533-9 SN - 0020-7748 VL - 50 IS - 7 SP - 2002 EP - 2008 PB - Springer CY - New York ER - TY - BOOK A1 - Baumgärtel, Hellmut T1 - A modified approach to the Doplicher-Roberts theorem on the construction of field algebra and the symmetry group in superselection theory T3 - Preprint / SFB 288, Differentialgeometrie und Quantenphysik Y1 - 1994 VL - 134 CY - Berlin ER - TY - JOUR A1 - Baumgärtel, Hellmut T1 - A modified approach to the Doplicher-Roberts theorem on the construction of the field algebra and the symmetry group in superselection theory Y1 - 1997 ER - TY - BOOK A1 - Baumgärtel, Hellmut A1 - Jurke, Matthias A1 - Lledó, Fernando T1 - A remark on covariant and causal nets of CAR-resp.CCR-type local algebras assigned to the irreducible unitary representation of the poincare group labeled by (m>0, s, +) T3 - Preprint / SFB 288, Differentialgeometrie und Quantenphysik Y1 - 1994 VL - 120 CY - Berlin ER - TY - BOOK A1 - Baumgärtel, Hellmut T1 - Actions of finite abelian groups on abelian C*-algebras Z: Second cohomology and description by C*-extensions F ) Z T3 - Preprint / SFB 288, Differentialgeometrie und Quantenphysik Y1 - 1999 VL - 383 CY - Berlin ER - TY - JOUR A1 - Baumgärtel, Hellmut T1 - An Application of the DR-Duality Theory for Compact Groups to Endomorphism Categories of C*-Algebras with Nontrivial Center Y1 - 2001 ER - TY - JOUR A1 - Baumgärtel, Hellmut T1 - An inverse problem for superselection structures on C*-algebras with nontrivial center Y1 - 1999 ER - TY - BOOK A1 - Baumgärtel, Hellmut T1 - Betrachtungen zur kulturellen Dimension der Mathematik T3 - Preprint / Universität Potsdam, Institut für Mathematik Y1 - 1997 VL - 1997, 15 PB - Univ. CY - Potsdam ER - TY - BOOK A1 - Baumgärtel, Hellmut T1 - Cuntz algebras and superselection structures in Quantum Field Theory T3 - LQP Papers / Local Quantum Physics Crossroads Y1 - 1999 UR - http://www.lqp.uni-goettingen.de PB - Univ. CY - Göttingen ER - TY - JOUR A1 - Baumgärtel, Hellmut T1 - Dual actions on C*-algebras and Hilbert extensions Y1 - 2000 ER -