Bound states and scattering states for time periodic hamiltonians
Yajima, Kenji ; Kitada, Hitoshi
Annales de l'I.H.P. Physique théorique, Tome 39 (1983), p. 145-157 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{AIHPA_1983__39_2_145_0,
     author = {Yajima, Kenji and Kitada, Hitoshi},
     title = {Bound states and scattering states for time periodic hamiltonians},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {39},
     year = {1983},
     pages = {145-157},
     mrnumber = {722683},
     zbl = {0544.35073},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1983__39_2_145_0}
}

Yajima, Kenji; Kitada, Hitoshi. Bound states and scattering states for time periodic hamiltonians. Annales de l'I.H.P. Physique théorique, Tome 39 (1983) pp. 145-157. http://gdmltest.u-ga.fr/item/AIHPA_1983__39_2_145_0/

[1] W.O. Amrein and V. Georgescu, On the characterization of bound states and scattering states in quantum mechanics, Helv. Phys. Acta, t. 46, 1973, p. 635-657. | MR 363267

[2] V. Enss, Asymptotic completeness for quantum mechanical potential scattering, Commun. Math. Phys., t. 61, 1978, p. 285-291. | MR 523013 | Zbl 0389.47005

[3] J.S. Howland, Stationary scattering theory for time-periodic Hamiltonians, Math. Ann., t. 207, 1974, p. 315-335. | MR 346559 | Zbl 0261.35067

[4] J.S. Howland, Scattering theory for Hamiltonians periodic in time, Indiana Univ. Math. J., t. 28, 1979, p. 471-494. | MR 529679 | Zbl 0444.47010

[5] Kato T., Wave operators and similarity for some nonselfadjoint operators, Math. Ann., t. 162, 1966, p. 258-279. | MR 190801 | Zbl 0139.31203

[6] H. Kitada and K. Yajima, A scattering theory for time-dependent long range potentials, Duke Math. J., t. 49, 1982, p. 341-376. | MR 659945 | Zbl 0499.35087

[7] S.T. Kuroda, Scattering theory for differential operators, I, Operator theory, J. Math. Soc. Japan, t. 25, 1973, p. 73-104. | MR 326435 | Zbl 0245.47006

[8] S.T. Kuroda, An introduction to scattering theory, Aarhus Univ. Lecture Notes Ser., t. 51, 1978. | MR 528757 | Zbl 0407.47003

[9] T. Kisynski, Sur les opérateurs de Green des problèmes de Cauchy abstracts, Studia Math., t. 23, 1964, p. 285-328. | MR 161185 | Zbl 0117.10202

[10] M. Reed and B. Simon, Methods of moder mathematical physics, III, Scattering theory, Academic Press, New York- San Francisco-London, 1979. | MR 529429 | Zbl 0405.47007

[11] D. Ruelle, A remark on bound states in potential scattering theory, Nuovo Cimento, t. 59 A, 1969, p. 655-662. | MR 246603

[12] B. Simon, Quantum mechanics for Hamiltonians defined as quadratic forms, Princeton Univ. Press, Princeton, N. J., 1971. | MR 455975 | Zbl 0232.47053

[13] K. Yajima, Scattering theory for Schrödinger equations with potentials periodic in time, J. Math. Soc. Japan, t. 29, 1977, p. 729-743. | MR 470525 | Zbl 0356.47010

[14] K. Yajima, Resonances for the AC-Stark effect, Commun. Math. Phys., t. 87, 1982, p. 331-352. | MR 682111 | Zbl 0538.47010

[15] G. Hagedorn, An analog of the Rage Theorem for the impact parameter approximation to three particle scattering, Annales de l'IHP, t. 38, 1983, p. 59-69. | Numdam | MR 700700 | Zbl 0517.47009