@article{Baumgaertel2004,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Lax-phillips evolutions in quantum mechanics and two-space scattering},
  issn      = {0034-4877},
  year      = {2004},
  language  = {en}
}
@article{Baumgaertel2004,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Lax-phillips evolutions in quantum mechanics and two-space scattering},
  issn      = {0034-4877},
  year      = {2004},
  language  = {en}
}
@book{Baumgaertel1994,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {A modified approach to the Doplicher-Roberts theorem on the construction of field algebra and the symmetry group in superselection theory},
  series = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik},
  volume    = {134},
  journal   = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik},
  address   = {Berlin},
  pages     = {33 S.},
  year      = {1994},
  language  = {en}
}
@article{Baumgaertel2006,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Generalized eigenvectors for resonances in the Friedrichs model and their associated Gamov vectors},
  issn      = {0129-055X},
  doi       = {10.1142/S0129055X06002589},
  year      = {2006},
  abstract  = {A Gelfand triplet for the Hamiltonian H of the Priedrichs model on R with multiplicity space K, dim K < infinity, is constructed such that exactly the resonances (poles of the inverse of the Livsic-matrix) are (generalized) eigenvalues of H. The corresponding eigen(anti)linear forms are calculated explicitly. Using the wave matrices for the wave (Moller) operators the corresponding eigen(anti)linear forms on the Schwartz space S for the unperturbed Hamiltonian Ho are also calculated. It turns out that they are of pure Dirac type and can be characterized by their corresponding Gamov vector lambda -> k/(zeta(0)-lambda)(-1), zeta(0) resonance, k epsilon K, which is uniquely determined by restriction of S to S boolean AND H-+(2), where H-+(2) denotes the Hardy space of the upper half-plane. Simultaneously this restriction yields a truncation of the generalized evolution to the well-known decay semigroup for t >= 0 of the Toeplitz type on H-+(2). That is: Exactly those pre-Gamov vectors a lambda -> k/(zeta-lambda)(-1), ( from the lower half-plane, k epsilon K., have an extension to a generalized eigenvector of H if zeta is a resonance and if k is from that subspace of K which is uniquely determined by its corresponding Dirac type antilinear form},
  language  = {en}
}
@book{Baumgaertel1995,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Operatoralgebraic methods in quantum field theory : a series of lectures},
  publisher = {Akademie Verl.},
  address   = {Berlin},
  pages     = {228 S.},
  year      = {1995},
  language  = {en}
}
@article{Baumgaertel1995,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Fourier transformation of Hilbert C*-systems, with compact groups, by their regular representation},
  year      = {1995},
  language  = {en}
}
@article{Baumgaertel1995,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {On Haag dual nets over compact spaces},
  year      = {1995},
  language  = {en}
}
@book{Baumgaertel1993,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Some operatoralgebraic fundamentals of the algebraic quantum field theory},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1993, 09},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {43 Bl.},
  year      = {1993},
  language  = {en}
}
@book{Baumgaertel1993,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {Operatoralgebren und Quantenfeldtheorie},
  series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  volume    = {1993, 12},
  journal   = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {11 Bl.},
  year      = {1993},
  language  = {de}
}
@book{Baumgaertel1997,
  author    = {Baumg{\"a}rtel, Hellmut},
  title     = {{\"U}ber Superauswahlstrukturen und deren Eichgruppen},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  volume    = {1997, 06},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik},
  publisher = {Univ.},
  address   = {Potsdam},
  pages     = {13 Bl.},
  year      = {1997},
  language  = {de}
}