A Bound on the Total Number of Bound States in a Potential
Martin, A.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 23 (1976), p. 22-41 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1976-01-01
@article{RCP25_1976__23__22_0,
     author = {Martin, A.},
     title = {A Bound on the Total Number of Bound States in a Potential},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {23},
     year = {1976},
     pages = {22-41},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1976__23__22_0}
}

Martin, A. A Bound on the Total Number of Bound States in a Potential. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 23 (1976) pp. 22-41. http://gdmltest.u-ga.fr/item/RCP25_1976__23__22_0/

[1] V. Glaser, H. Grosse, A. Martin and W. Thirring, CERN Preprint TH. 2027 (1975) to be published, referred to as GGMT.

[2] J. Schwinger, Proc. Nat. Acad. Sci. (US) 47 122 (1961). | MR 129798

M.S. Birman, Mat. Sb. 55, 175 (1961) - [English translation AMS Trans. 53, 23 (1966) ]. | MR 142896

[3] See for instance : S. Stein, Singular integrals and differentiability properties of functions, Princeton University Press (1970), pp. 117 and 272. | MR 290095 | Zbl 0207.13501

[4] A. Martin, Helv. Phys. Acta 45, 142 (1972) ;

H. Tamura, Proc. Japan Acad. 50, 19 (1974). | MR 364899 | Zbl 0312.35058

[5] B. Simon, weak trace ideals and the spectrum of Schrödinger operators Princeton preprint (1975).

[6] B. Simon, J. Math. Phys. 10, 1123 (1969)·

[7] J.M. Luttinger and R. Friedberg, quoted in : J.M. Luttinger, J.M.P. 14, 1450 (1973).

[8] G. Szegö, Orthogonal polynomials, Ann. Math. Soc. Colloquium publications, 3rd edition (1966), p. 58.