Scattering theory for time-dependent zero-range potentials

D. R. Yafaev

Annales de l'I.H.P. Physique théorique (1984)

  • Volume: 40, Issue: 4, page 343-359
  • ISSN: 0246-0211

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Yafaev, D. R.. "Scattering theory for time-dependent zero-range potentials." Annales de l'I.H.P. Physique théorique 40.4 (1984): 343-359. <http://eudml.org/doc/76240>.

@article{Yafaev1984,
author = {Yafaev, D. R.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Scattering of a quantum particle by a time-dependent zero-range potential; zero-range potential well; evolution of a quantum particle; pseudostationary state; wave operator},
language = {eng},
number = {4},
pages = {343-359},
publisher = {Gauthier-Villars},
title = {Scattering theory for time-dependent zero-range potentials},
url = {http://eudml.org/doc/76240},
volume = {40},
year = {1984},
}

TY - JOUR
AU - Yafaev, D. R.
TI - Scattering theory for time-dependent zero-range potentials
JO - Annales de l'I.H.P. Physique théorique
PY - 1984
PB - Gauthier-Villars
VL - 40
IS - 4
SP - 343
EP - 359
LA - eng
KW - Scattering of a quantum particle by a time-dependent zero-range potential; zero-range potential well; evolution of a quantum particle; pseudostationary state; wave operator
UR - http://eudml.org/doc/76240
ER -

References

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  1. [1] M. Reed, B. Simon, Methods of modern mathematical physics. III. Scattering Theory, New York, Academic Press, 1979. Zbl0405.47007MR529429
  2. [2] J. Howland, Math. Ann., t. 207, 1974, p. 315-335. Zbl0261.35067MR346559
  3. [3] D.R. Yafaev, Soviet Math. Dokl., t. 19, 1978, p. 1517-1521. Zbl0435.35064
  4. [4] D.R. Yafaev, Math. USSR Sbornik, t. 39, 1981, p. 169-188. Zbl0462.35008
  5. [5] Ju.N. Demkov, V.N. Ostrovskij, The method of zerorange potentials in atomic physics. Leningrad, Leningrad State Univ., 1975 (Russian). 
  6. [6] D.R. Yafaev, Teor. Mat. Fis., t. 43, 1980, p. 228-239 (Russian). MR576857
  7. [7] M.R. Sajapova, D.R. Yafaev, Topics in Math. Physics, t. 10, 1982, p. 252-266 (Russian). Zbl0513.35064
  8. [8] G. Schmidt, Indiana Univ. Math. J., t. 24, 1975, p. 925-935. Zbl0316.47009
  9. [9] K. Yajima, J. Math. Soc. Japan, t. 29, 1977, p. 729-743. Zbl0356.47010MR470525
  10. [10] F.A. Berezin, L.D. Faddeev, Sov. Math., t. 2, 1961, p. 372-374. Zbl0117.06601MR1092523
  11. [11] D.R. Yafaev, Funct. Anal., t. 14, 1980, p. 91-92 (Russian). Zbl0471.47005
  12. [12] D.R. Yafaev, On the asymptotics of solutions of Volterra integral equations, Institut Mittag-Leffler, Report No. 8, 1983. Zbl0571.45002
  13. [13] T. Kato, J. Math. Soc. Japan, t. 5, 1953, p. 208-234. Zbl0052.12601MR58861
  14. [14] M. Reed, B. SIMON, Methods of modern mathematical physics. II. Fourier analysis, self-adjointness. New York, Academic Press, 1975. Zbl0308.47002MR493420
  15. [15] M.R. Sajapova, D.R. Yafaev, The operator of evolution for time-dependent zero–range potentials, Trudy MIAN, t. 159, 1982, p. 167-174 (Russian). Zbl0599.35035

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