Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials

M. Combescure; J. Ginibre

Annales de l'I.H.P. Physique théorique (1976)

  • Volume: 24, Issue: 1, page 17-30
  • ISSN: 0246-0211

How to cite

top

Combescure, M., and Ginibre, J.. "Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials." Annales de l'I.H.P. Physique théorique 24.1 (1976): 17-30. <http://eudml.org/doc/75885>.

@article{Combescure1976,
author = {Combescure, M., Ginibre, J.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {1},
pages = {17-30},
publisher = {Gauthier-Villars},
title = {Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials},
url = {http://eudml.org/doc/75885},
volume = {24},
year = {1976},
}

TY - JOUR
AU - Combescure, M.
AU - Ginibre, J.
TI - Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials
JO - Annales de l'I.H.P. Physique théorique
PY - 1976
PB - Gauthier-Villars
VL - 24
IS - 1
SP - 17
EP - 30
LA - eng
UR - http://eudml.org/doc/75885
ER -

References

top
  1. [1] S. Agmon, International Congress of Mathematicians, Nice, 1970. 
  2. [2] J. Aguilar et J.M. Combes, Commun. Math. Phys., t. 22, 1971, p. 269-282. Zbl0219.47011MR345551
  3. [3] W. Amrein et V. Georgescu, Helv. Phys. Acta, t. 47, 1974, p. 517-533. MR366278
  4. [4] W. Amrein, in: Scattering Theory in Mathematical Physics. J. A. Lavita, J. P. Marchand eds, D. Reidel, Dordrecht, 1974. 
  5. [5] M.L. Baeteman and K. Chadan, Preceding paper. 
  6. [6] M. Sh. Birman, Vestn. L. G. U., t. 13, 1961, p. 163-166. MR139370
  7. [7] T. Ikebe, Arch. Ratl. Mech. Anal., t. 5, 1960, p. 1-34. Zbl0145.36902MR128355
  8. [8] T. Ikebe, Brasilia preprint, 1974. MR634703
  9. [9] T. Kato, Perturbation theory for linear operators. Springer, Berlin, 1966. Zbl0148.12601
  10. [10] T. Kato, Math. Ann., t. 162, 1966, p. 258-279. Zbl0139.31203MR190801
  11. [11] T. Kato, Israel J. Math., t. 13, 1972, p. 135-148. Zbl0246.35025MR333833
  12. [12] S.T. Kuroda, Jour. Anal. Math., t. 20, 1967, p. 57-117. Zbl0153.16903
  13. [13] R. Lavine, Indiana Univ. Math. Jour., t. 21, 1972, p. 643-656. Zbl0216.38501MR300134
  14. [14] R. Lavine, J. Funct. Anal., t. 12, 1973, p. 30-54. Zbl0246.47017
  15. [15] V.B. Matveev and M.M. Skriganov, D. A. N. SSSR, t. 202, 1972, p. 755-758. Zbl0242.47005MR300135
  16. [16] D.B. Pearson, Helv. Phys. Acta, t. 47, 1974, p. 249-264. MR420033
  17. [17] D.B. Pearson, Commun. Math. Phys., t. 40, 1975, p. 125-146. MR363285
  18. [18] M. Reed and B. Simon, Methods of modern mathematical physics. Academic Press, New York, 1973, Vol. I. Zbl0242.46001
  19. [19] M. Reed and B. Simon, Id., Vol. III, in preparation. 
  20. [20] D.W. Robinson, Ann. I. H. P., t. 21, 1974, p. 185-215. MR377304
  21. [21] J. Schwinger, Proc. Nat. Acad. Sci. (U. S. A.), t. 47, 1961, p. 122-129. MR129798
  22. [22] B. Simon, Quantum Mechanics for Hamiltonians defined as quadratic forms. Princeton Univ. Press, Princeton, 1971. Zbl0232.47053MR455975
  23. [23] B. Simon, Arch. Rat. Mech. Anal., t. 52, 1973, p. 44-48. Zbl0277.47007MR338548
  24. [24] M.M. Skriganov, Tr. Steklov. Math. Inst., t. 125, 1973, p. 187-195. Zbl0289.35065
  25. [25] M. Schechter, Spectra of partial differential operators. North Holland, Amsterdam, 1971. Zbl0225.35001MR447834
  26. [26] M. Schechter, Comm. Math. Helv., t. 49, 1974, p. 84-113. Zbl0288.47012MR367484

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.