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Stationary scattering theory for time-dependent Hamiltonians. (English) Zbl 0261.35067


MSC:

35P25 Scattering theory for PDEs
47F05 General theory of partial differential operators
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References:

[1] Dirac, P. A. M.: The principles of quantum mechanics. 4th edition. Oxford University Press 1958 · Zbl 0080.22005
[2] Dunford, N., Schwartz, J. T.: Linear operators, Part I, New York: Interscience 1958 · Zbl 0084.10402
[3] Gohberg, I. C., Krein, M. G.: Introduction to the theory of non-self adjoint operators. Am. Math. Soc. Translations of Mathematical Monographs, Vol. 18, Providence, 1969 · Zbl 0181.13503
[4] Halmos, P. R.: A Hilbert space problem book. Princeton: Van Nostrand 1967 · Zbl 0144.38704
[5] Hille, E., Phillips, R. S.: Functional analysis and semi-groups. Am. Math. Soc. Colloq. Publ. Vol. 31, 1957 · Zbl 0078.10004
[6] Kato, T.: Wave operators and similarity for some nonselfadjoint operators. Math. Ann.162, 258-279 (1966) · Zbl 0139.31203 · doi:10.1007/BF01360915
[7] Kato, T.: Linear evolution equations of ?hyperbolic? type. J. Fac. Sci. Univ. Tokyo Sect. I,17, Parts 1 and 2; 241-258 (1970) · Zbl 0222.47011
[8] Kato, T., Kuroda, S. T.: The abstract theory of scattering. Rocky Mountain J. Math1, 127-171 (1971) · Zbl 0241.47005 · doi:10.1216/RMJ-1971-1-1-127
[9] Kuroda, S. T.: Some remarks on scattering for Schroedinger operators. J. Fac. Sci. Univ. Tokyo, Sec. I,17, parts 1 and 2; 315-329 (1970) · Zbl 0222.47004
[10] Naimark, M. A., Fomin, S. V.: Continuous direct sums of Hilbert spaces and some of their applications. Am. Math. Soc. Translations. Ser. 2, Vol. 5, 35-66
[11] Schweber, S. S.: An introduction to relativistic quantum field theory. Evanston, Ill.: Row-Peterson 1961 · Zbl 0111.43102
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