Existence of the time evolution for Schrödinger operators with time dependent singular potentials

Ulrich Wüller

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 44, Issue: 2, page 155-171
  • ISSN: 0246-0211

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Wüller, Ulrich. "Existence of the time evolution for Schrödinger operators with time dependent singular potentials." Annales de l'I.H.P. Physique théorique 44.2 (1986): 155-171. <http://eudml.org/doc/76315>.

@article{Wüller1986,
author = {Wüller, Ulrich},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Schrödinger equation; propagator; Coulomb potential},
language = {eng},
number = {2},
pages = {155-171},
publisher = {Gauthier-Villars},
title = {Existence of the time evolution for Schrödinger operators with time dependent singular potentials},
url = {http://eudml.org/doc/76315},
volume = {44},
year = {1986},
}

TY - JOUR
AU - Wüller, Ulrich
TI - Existence of the time evolution for Schrödinger operators with time dependent singular potentials
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 44
IS - 2
SP - 155
EP - 171
LA - eng
KW - Schrödinger equation; propagator; Coulomb potential
UR - http://eudml.org/doc/76315
ER -

References

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  12. [12] H. Tanabe, Equations of Evolution, Pitman, 1979. MR533824
  13. [13] U. Wüller, Existenz von Propagatoren für Schrödinger Operatoren mit zeitabhängigen singulären Potentialen, Diplomarbeit, Ruhr-UniversitätBochum, 1984. 
  14. [14] K. Yajima, A multi-channel scattering theory for some time dependent hamiltonians, Charge transfer problem. Comm. Math. Phys., t. 75, 1980, p. 153-178. Zbl0437.47008MR582506
  15. [15] K. Yosida, On the integration of the equation of evolution. J. Fac. Sci. Univ. Tokyo, Sec. 1, t. 9, 1963, p. 397-402. Zbl0201.18203MR150616
  16. [16] K. Yosida, Time dependent evolution equations in a locally compact space. Math. Ann., t. 162, 1966, p. 83-86. Zbl0138.08301MR190498
  17. [17] K. Yosida, Functional Analysis, Berlin, Heidelberg, New York, Springer, 2nd. ed., 1968. Zbl0152.32102MR500055

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