A Family of Optimal Conditions for the Absence of Bound States in a Potential
Glaser, V. ; Martin, A. ; Grosse, H. ; Thirring, W.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 23 (1976), p. 0-21 / Harvested from Numdam
Publié le : 1976-01-01
@article{RCP25_1976__23__0_0,
     author = {Glaser, V. and Martin, A. and Grosse, H. and Thirring, W.},
     title = {A Family of Optimal Conditions for the Absence of Bound States in a Potential},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {23},
     year = {1976},
     pages = {0-21},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RCP25_1976__23__0_0}
}
Glaser, V.; Martin, A.; Grosse, H.; Thirring, W. A Family of Optimal Conditions for the Absence of Bound States in a Potential. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 23 (1976) pp. 0-21. http://gdmltest.u-ga.fr/item/RCP25_1976__23__0_0/

1) R. Jost and A. Pais, Phys. Rev. 82, 840 (1951). | MR 44404 | Zbl 0042.45206

2) V. Bargmann, Proc. Nat. Acad. Sci. (US) 39, 961 (1952). | MR 54135

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

4) R. Courant and D. Hilbert, Methods of mathematical physics (Interscience Publishers, New York, 1953), Vol. 1, p. 446. | MR 65391 | Zbl 0053.02805

5 )W. Faris, Battelle Mathematics Report 87 (Battelle Memorial Institute, Geneva, 1974).

6) A. Martin, Helv. Phys. Acta 45, 142 (1972).

A. Martin

See also B. Simon, J. Math. Phys. 10, 1123 (1969).

7) F. Calogero, Commun. Math. Phys. 1, 80 (1965). | MR 181250 | Zbl 0128.21907

See also K. Chadan, Nuovo Cimento 58A, 191 (1968).

W.M. Frank, J. Math. Phys. 8, 466 (1967). | Zbl 0146.35204

8) G.A. Bliss, J. London Math. Soc. 5, 40 (1930).

See also G. Rosen, SIAM J. Appl. Math. 21, 30 (1971). | MR 289739

9) J.M. Blatt and V.F. Weisskopf, Theoretical nuclear physics (John Wiley and Sons, New York, 1952), p. 55. | Zbl 0049.14005

10) W. Thirring, Vorlesungen über mathematische Physik T7: Quanten Mechanik (Institut für Theoretische Physik der Universität, Wien, 1974), p. 133.

11) G.H. Hardy, J.E. Littlewood and G. Polya, Inequalities (Cambridge University Press, 1973), p. 280. | JFM 60.0169.01 | Zbl 0047.05302

12) H.J. Brascamp, J.M. Luttinger and E.H. Lieb, J. Functional Analysis 17, 227 (1974). | MR 346109 | Zbl 0286.26005

13) E. Lieb, private communication.