A Family of Optimal Conditions for the Absence of Bound States in a Potential

V. Glaser; A. Martin; H. Grosse; W. Thirring

Recherche Coopérative sur Programme n°25 (1976)

  • Volume: 23, page 0-21

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Glaser, V., et al. "A Family of Optimal Conditions for the Absence of Bound States in a Potential." Recherche Coopérative sur Programme n°25 23 (1976): 0-21. <http://eudml.org/doc/274857>.

@article{Glaser1976,
author = {Glaser, V., Martin, A., Grosse, H., Thirring, W.},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {0-21},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {A Family of Optimal Conditions for the Absence of Bound States in a Potential},
url = {http://eudml.org/doc/274857},
volume = {23},
year = {1976},
}

TY - JOUR
AU - Glaser, V.
AU - Martin, A.
AU - Grosse, H.
AU - Thirring, W.
TI - A Family of Optimal Conditions for the Absence of Bound States in a Potential
JO - Recherche Coopérative sur Programme n°25
PY - 1976
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 23
SP - 0
EP - 21
LA - eng
UR - http://eudml.org/doc/274857
ER -

References

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  1. 1) R. Jost and A. Pais, Phys. Rev.82, 840 (1951). Zbl0042.45206MR44404
  2. 2) V. Bargmann, Proc. Nat. Acad. Sci. (US) 39, 961 (1952). MR54135
  3. 3) J. Schwinger, Proc. Nat. Acad. Sci. (US) 47, 122 (1961). MR129798
  4. 4) R. Courant and D. Hilbert, Methods of mathematical physics (Interscience Publishers, New York, 1953), Vol. 1, p. 446. Zbl0053.02805MR65391
  5. 5 ) W. Faris, Battelle Mathematics Report87 (Battelle Memorial Institute, Geneva, 1974). 
  6. 6) A. Martin, Helv. Phys. Acta45, 142 (1972). 
  7. A. Martin 
  8. See also B. Simon, J. Math. Phys.10, 1123 (1969). 
  9. 7) F. Calogero, Commun. Math. Phys.1, 80 (1965). Zbl0128.21907MR181250
  10. See also K. Chadan, Nuovo Cimento58A, 191 (1968). 
  11. W.M. Frank, J. Math. Phys.8, 466 (1967). Zbl0146.35204
  12. 8) G.A. Bliss, J. London Math. Soc.5, 40 (1930). 
  13. See also G. Rosen, SIAM J. Appl. Math.21, 30 (1971). MR289739
  14. 9) J.M. Blatt and V.F. Weisskopf, Theoretical nuclear physics (John Wiley and Sons, New York, 1952), p. 55. Zbl0049.14005
  15. 10) W. Thirring, Vorlesungen über mathematische Physik T7: Quanten Mechanik (Institut für Theoretische Physik der Universität, Wien, 1974), p. 133. 
  16. 11) G.H. Hardy, J.E. Littlewood and G. Polya, Inequalities (Cambridge University Press, 1973), p. 280. Zbl0047.05302JFM60.0169.01
  17. 12) H.J. Brascamp, J.M. Luttinger and E.H. Lieb, J. Functional Analysis17, 227 (1974). Zbl0286.26005MR346109
  18. 13) E. Lieb, private communication. 

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