On the point spectrum of Schrödinger operators

Anne Berthier

Annales scientifiques de l'École Normale Supérieure (1982)

  • Volume: 15, Issue: 1, page 1-15
  • ISSN: 0012-9593

How to cite

top

Berthier, Anne. "On the point spectrum of Schrödinger operators." Annales scientifiques de l'École Normale Supérieure 15.1 (1982): 1-15. <http://eudml.org/doc/82092>.

@article{Berthier1982,
author = {Berthier, Anne},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {self-adjoint realization; ortho-periodic Schrödinger operator},
language = {eng},
number = {1},
pages = {1-15},
publisher = {Elsevier},
title = {On the point spectrum of Schrödinger operators},
url = {http://eudml.org/doc/82092},
volume = {15},
year = {1982},
}

TY - JOUR
AU - Berthier, Anne
TI - On the point spectrum of Schrödinger operators
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1982
PB - Elsevier
VL - 15
IS - 1
SP - 1
EP - 15
LA - eng
KW - self-adjoint realization; ortho-periodic Schrödinger operator
UR - http://eudml.org/doc/82092
ER -

References

top
  1. [1] S. AGMON, J. Anal. Math., Vol. 23, 1970, pp. 1-25. Zbl0211.40703MR43 #2367
  2. [2] W. O. AMREIN and A. M. BERTHIER, Reports Mathematical Physics, Vol. 11, 1977, pp. 122-131. Zbl0357.47024MR57 #8609
  3. [3] N. ARONSZJAN, J. Math. Pures Appl., Vol. 36, 1957, pp. 235-249. Zbl0084.30402
  4. [4] A. M. BERTHIER, Spectral Theory and Wave operators for the Schrödinger Equation (to appear Pitman Research Notes). Zbl0484.35002
  5. [5] H. O. CORDES, Nachr. Akad. Wiss. Gottingen, Math. Phys., K L II a, 1956, pp. 239-258. Zbl0074.08002MR19,148a
  6. [6] K. H. JANSEN and H. KALF, Comm. Pures Appl. Math., Vol. 28, 1975, pp. 747-752. Zbl0326.35015MR54 #10888
  7. [7] T. KATO, Pertubation Theory for Linear Operators, Springer, Berlin, 1966. Zbl0148.12601
  8. [8] Y. KATZNELSON, An Introduction to Harmonic Analysis, Wiley, New York, 1968. Zbl0169.17902MR40 #1734
  9. [9] O. A. LADYZENSKAJA and N. N. URAL'CEVA, Équations aux dérivées partielles de type elliptique, Dunod, Paris, 1968. Zbl0164.13001MR39 #630
  10. [10] E. NELSON, J. Math. Phys., Vol. 5, 1964, pp. 332-343. Zbl0133.22905MR28 #4397
  11. [11] M. REED and B. SIMON, Methods of Modern Mathematical Physics, IV, Analysis of operators, Academic Press, New York, 1978. Zbl0401.47001MR58 #12429c
  12. [12] B. SIMON, Comm. Pure Appl. Math., Vol. 22, 1969, pp. 531-538. Zbl0167.11003MR40 #568
  13. [13] L. THOMAS, Comm. Math. Phys., Vol. 33, 1973, p. 335. MR48 #13084

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.