A Bound on the Total Number of Bound States in a Potential

A. Martin

Recherche Coopérative sur Programme n°25 (1976)

  • Volume: 23, page 22-41

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Martin, A.. "A Bound on the Total Number of Bound States in a Potential." Recherche Coopérative sur Programme n°25 23 (1976): 22-41. <http://eudml.org/doc/274478>.

@article{Martin1976,
author = {Martin, A.},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {22-41},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {A Bound on the Total Number of Bound States in a Potential},
url = {http://eudml.org/doc/274478},
volume = {23},
year = {1976},
}

TY - JOUR
AU - Martin, A.
TI - A Bound on the Total Number 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 - 22
EP - 41
LA - eng
UR - http://eudml.org/doc/274478
ER -

References

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  1. [1] V. Glaser, H. Grosse, A. Martin and W. Thirring, CERN Preprint TH. 2027 (1975) to be published, referred to as GGMT. 
  2. [2] J. Schwinger, Proc. Nat. Acad. Sci. (US) 47122 (1961). MR129798
  3. M.S. Birman, Mat. Sb.55, 175 (1961) - [English translation AMS Trans. 53, 23 (1966) ]. MR142896
  4. [3] See for instance : S. Stein, Singular integrals and differentiability properties of functions, Princeton University Press (1970), pp. 117 and 272. Zbl0207.13501MR290095
  5. [4] A. Martin, Helv. Phys. Acta45, 142 (1972) ; 
  6. H. Tamura, Proc. Japan Acad.50, 19 (1974). Zbl0312.35058MR364899
  7. [5] B. Simon, weak trace ideals and the spectrum of Schrödinger operatorsPrinceton preprint (1975). 
  8. [6] B. Simon, J. Math. Phys.10, 1123 (1969)· 
  9. [7] J.M. Luttinger and R. Friedberg, quoted in : J.M. Luttinger, J.M.P.14, 1450 (1973). 
  10. [8] G. Szegö, Orthogonal polynomials, Ann. Math. Soc.Colloquium publications, 3rd edition (1966), p. 58. 

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