@article{AIHPA_1986__44_2_155_0,
author = {W\"uller, Ulrich},
title = {Existence of the time evolution for Schr\"odinger operators with time dependent singular potentials},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {45},
year = {1986},
pages = {155-171},
mrnumber = {839282},
zbl = {0598.35033},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1986__44_2_155_0}
}
Wüller, Ulrich. Existence of the time evolution for Schrödinger operators with time dependent singular potentials. Annales de l'I.H.P. Physique théorique, Tome 45 (1986) pp. 155-171. http://gdmltest.u-ga.fr/item/AIHPA_1986__44_2_155_0/
[1] , Theory of electronic transitions in slow atomic collisions. Rev. Mod. Phys., t. 53, 1981, p. 287-357.
[2] , An analog of the RAGE Theorem for the impact parameter approximation to three particle scattering. Ann. Inst. H. Poincaré, t. A 38, 1983, p. 59-68. | Numdam | MR 700700 | Zbl 0517.47009
[3] , Remarks on causality, localization and spreading of wave packets. Phys. Rev. D., t. 22, 1980, p. 377-384. | MR 578960
[4] , Integration of the equation of evolution in a Banach space. J. Math. Soc. Japan, t. 5, 1953, p. 208-234. | MR 58861 | Zbl 0052.12601
[5] , On linear differential equations in Banach spaces. Comm. Pure Appl. Math., t. 9, 1956, p. 479-486. | MR 86986 | Zbl 0070.34602
[6] , Linear evolution equations of hyperbolic type. J. Fac. Sci. Univ. Tokyo, Sec. 1, t. 17, 1970, p. 241-258. | MR 279626 | Zbl 0222.47011
[7] , Linear evolution equations of hyperbolic type. II. J. Math. Soc. Japan, t. 25, 1973, 648-666. | MR 326483 | Zbl 0262.34048
[8] , , Methods of modern mathematical physics. I. Functional analysis. New York, Academic Press, 1972. | MR 493419 | Zbl 0242.46001
[9] , , Methods of modern mathematical physics. II. Fourier analysis, self-adjointness, New York, Academic Press, 1975. | MR 493420 | Zbl 0308.47002
[10] , , Methods of modern mathematical physics. IV. Analysis of operators, New York, Academic Press, 1978. | MR 493421 | Zbl 0401.47001
[11] , Quantum Mechanicsfor Hamiltonians defined as Quadratic Forms, Princeton University Press, 1971. | MR 455975 | Zbl 0232.47053
[12] , Equations of Evolution, Pitman, 1979. | MR 533824
[13] , Existenz von Propagatoren für Schrödinger Operatoren mit zeitabhängigen singulären Potentialen, Diplomarbeit, Ruhr-Universität Bochum, 1984.
[14] , A multi-channel scattering theory for some time dependent hamiltonians, Charge transfer problem. Comm. Math. Phys., t. 75, 1980, p. 153-178. | MR 582506 | Zbl 0437.47008
[15] , On the integration of the equation of evolution. J. Fac. Sci. Univ. Tokyo, Sec. 1, t. 9, 1963, p. 397-402. | MR 150616 | Zbl 0201.18203
[16] , Time dependent evolution equations in a locally compact space. Math. Ann., t. 162, 1966, p. 83-86. | MR 190498 | Zbl 0138.08301
[17] , Functional Analysis, Berlin, Heidelberg, New York, Springer, 2nd. ed., 1968. | MR 500055