Resonances in an abstract analytic scattering theory

Arne Jensen

Annales de l'I.H.P. Physique théorique (1980)

  • Volume: 33, Issue: 2, page 209-223
  • ISSN: 0246-0211

How to cite

top

Jensen, Arne. "Resonances in an abstract analytic scattering theory." Annales de l'I.H.P. Physique théorique 33.2 (1980): 209-223. <http://eudml.org/doc/76093>.

@article{Jensen1980,
author = {Jensen, Arne},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Kato-Kuroda scattering theory; S-matrix; resonances},
language = {eng},
number = {2},
pages = {209-223},
publisher = {Gauthier-Villars},
title = {Resonances in an abstract analytic scattering theory},
url = {http://eudml.org/doc/76093},
volume = {33},
year = {1980},
}

TY - JOUR
AU - Jensen, Arne
TI - Resonances in an abstract analytic scattering theory
JO - Annales de l'I.H.P. Physique théorique
PY - 1980
PB - Gauthier-Villars
VL - 33
IS - 2
SP - 209
EP - 223
LA - eng
KW - Kato-Kuroda scattering theory; S-matrix; resonances
UR - http://eudml.org/doc/76093
ER -

References

top
  1. [1] J.E. Avron, I.W. Herbst, Spectral and scattering theory of Schrödinger operators related to the Stark effect. Comm. Math. Phys., t. 52, 1977, p. 239-259. Zbl0351.47007MR468862
  2. [2] D. Babbitt, E. Balslev, Local distortion technique and unitarity of the S-matrix for the 2-body problem. J. Math. Anal. Appl., t. 54, 1976, p. 316-347. MR413860
  3. [3] J.M. Combes, Spectral deformation techniques and applications to N-body Schrödinger operator. Proc. Int. Congr. Math., Vancouver, 1974, p. 369-376. Zbl0341.47002MR438949
  4. [4] D. Greenstein, On the analytic continuation of functions which map the upper half plane into itself. J. Math. Anal. Appl., t. 1, 1960, p. 355-362. Zbl0096.27401MR125953
  5. [5] I.W. Herbst, Dilation analyticity in constant electric fields I. The two body problem. Comm. Math. Phys., t. 64, 1978, p. 279-298. Zbl0447.47028MR520094
  6. [6] I.W. Herbst, B. Simon, Stark effect revisited. Phys. Rev. Letters, t. 41, 1978, p. 67-79. MR495908
  7. [7] J. Howland, Puiseux series for resonances at an embedded eigenvalue. Pacific J. Math., t. 55, 1974, p. 157-176. Zbl0312.47010MR417823
  8. [8] A. Jensen, Local distortion technique, resonances and poles of the S-matrix. J. Math. Anal. Appl., t. 59, 1977, p. 505-513. Zbl0361.47018MR441153
  9. [9] S.T. Kuroda, Scattering theory for differential operators I. Operator theory. J. Math. Soc. Japan, t. 25, 1973, p. 75-104. Zbl0245.47006MR326435
  10. [10] S.T. Kuroda, Scattering theory for differential operators II. Selfadjoint elliptic operators. J. Math. Soc. Japan, t. 25, 1973, p. 222-234. Zbl0252.47007MR326436
  11. [11] J. Nuttall, Analytic continuation of the off-energy shell scattering amplitude. J. Math. Phys., t. 8, 1967, p. 873-877. 
  12. [12] N. Shenk, D. Thoe, Eigenfunction expansions and scattering theory for perturbation of - Δ. Rocky Mountain J. Math., t. 1, 1971, p. 89-125. Zbl0254.47017MR287189
  13. [13] N. Shenk, D. Thoe, Resonant states and poles of the scattering matrix for perturbations of - Δ. J. Math. Anal. Appl., t. 37, 1972, p. 467-491. Zbl0229.35072MR308616
  14. [14] B. Simon, Resonances and complex scaling. A Rigorous overview. Int. J. Quantum Chemistry, t. 14, 1978, p. 529. 
  15. [15] L. Thomas, On the spectral properties of some one particle Schrödinger Hamiltonians. Helv. Phys. Acta, t. 45, 1973, p. 1057-1065. MR376023
  16. [16] K. Yajima, Spectral and scattering theory for Schrödinger operators with Stark effect I. J. Fac. Sci. Univ. Tokyo, Sec. IA, t. 26, 1979, p. 377-390. Zbl0429.35027MR560003
  17. [17] K. Yajima, Spectral and scattering theory for Schrödinger operators with Stark effect II. Preprint. MR617860

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.