The free laplacian with attractive boundary conditions

H. Englisch; M. Schröder; P. Šeba

Annales de l'I.H.P. Physique théorique (1987)

  • Volume: 46, Issue: 4, page 373-382
  • ISSN: 0246-0211

How to cite

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Englisch, H., Schröder, M., and Šeba, P.. "The free laplacian with attractive boundary conditions." Annales de l'I.H.P. Physique théorique 46.4 (1987): 373-382. <http://eudml.org/doc/76364>.

@article{Englisch1987,
author = {Englisch, H., Schröder, M., Šeba, P.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {motion of a free quantum particle; Schrödinger operator with attractive short-range potential; boundary conditions},
language = {eng},
number = {4},
pages = {373-382},
publisher = {Gauthier-Villars},
title = {The free laplacian with attractive boundary conditions},
url = {http://eudml.org/doc/76364},
volume = {46},
year = {1987},
}

TY - JOUR
AU - Englisch, H.
AU - Schröder, M.
AU - Šeba, P.
TI - The free laplacian with attractive boundary conditions
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 46
IS - 4
SP - 373
EP - 382
LA - eng
KW - motion of a free quantum particle; Schrödinger operator with attractive short-range potential; boundary conditions
UR - http://eudml.org/doc/76364
ER -

References

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  1. [1] M. Reed, B. Simon, Methods of Modern Mathematical Physics II. Academic Press, New York, San Francisco, London, 1975. Zbl0405.47007MR751959
  2. [2] P. Šeba, Lett. Math. Phys., t. 10, 1985, p. 21. MR796995
  3. [3] H. Englisch, P. Šeba, Rep. Math. Phys., in print. 
  4. [4] M. Schröder, On the Laplace Operator with Non-Local Boundary Conditions and the Bose Condensation, Preprint Karl-Marx, University Leipzig, 1986. 
  5. [5] D.W. Robinson, Comm. Math. Phys., t. 50, 1976, p. 53. MR413928
  6. [6] L.J. Landau, I.F. Wilde, Comm. Math. Phys., t. 70, 1979, p. 43. MR553176
  7. [7] M. Van Den Berg, J. Math. Phys., t. 23, 1982, p. 1159. MR660027
  8. [8] H. Englisch et al., Bose condensation in disordered systems II, in preparation. 
  9. [9] M. Schroder, On the Spectrum of Schrödinger Operators on the Half Space with a Certain Class of Boundary Conditions, Preprint Karl-Marx University Leipzig, 1986. 
  10. [10] M. Reed, B. Simon, Methods of Modern Mathematical Physics IV. Academic Press, New York, San Francisco, London, 1978. Zbl0401.47001MR751959
  11. [11] H. Englisch, Z. Anal. Anw., t. 2, 1983, p. 411. Zbl0531.60062MR725157
  12. [12] R.A. Weder, J. Funct. Anal., t. 20, 1975, p. 319. Zbl0317.47035
  13. [13] A.I. Povzner, Matem. Sbornik, t. 32, 1953, p. 109. Zbl0050.32201
  14. [14] M.G. Krein, DAN SSSR, t. 52, 1946, p. 657. 
  15. [15] M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, N. B. S. Applied Mathematics Series, New York, 1964. Zbl0171.38503
  16. [16] L.D. Landau, E.M. Lifšic, Quantum Mechanics, NaukaMoscow, 1974. 
  17. [17] I.W. Herbst, Comm. Math. Phys., t. 53, 1977, p. 285. Zbl0375.35047MR436854

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