Convexity and potential sums for Salpeter-type Hamiltonians

Journal of Mathematical Physics

Volumn 43, Issue 12, 2002, Pages 5913-5925

  Hall, Richard L ^a   Lucha, Wolfgang ^b   Schöberl, Franz F ^c  

^a Gina Cody School of Engineering and Computer Science   (Canada)

^b INSTITUT FÜR HOCHENERGIEPHYSIK   (Austria)

^c UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036929625     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1515381     Document Type: Article

References (16)

1. E.E. Salpeter and H.A. Bethe, Phys. Rev. 84, 1232 (1951).
2. E.E. Salpeter, Phys. Rev. 87, 328 (1952).
3. E.H. Lieb and M. Loss, Analysis (American Mathematical Society, New York, 1996). The definition of the Salpeter kinetic-energy operator is given on p. 168.
4. R.L. Hall, W. Lucha, and F.F. Schöberl, J. Math. Phys. 42, 5228 (2001).
5. R.L. Hall, J. Math. Phys. 25, 2708 (1984).
6. R.L. Hall, J. Math. Phys. 34, 2779 (1993).
7. R.L. Hall, W. Lucha, and F.F. Schöberl, Int. J. Mod. Phys. A 17, 1931 (2002).
8. W. Feller, An Introduction to Probability Theory and its Applications (Wiley, New York, 1971), Vol. II. Jensen's inequality is discussed on p. 153.
9. R.L. Hall, Phys. Rev. D 37, 540 (1988).
10. R.L. Hall, J. Math. Phys. 33, 1710 (1992).
11. A. Martin and S.M. Roy, Phys. Lett. B 233, 407 (1989).
12. I.W. Herbst, Commun. Math. Phys. 53, 285 (1977); 55, 316 (1977) (addendum).
13. I.W. Herbst, Commun. Math. Phys. 53, 285 (1977); 55, 316 (1977) (addendum).
14. H. Weyl, Math. Ann. 71, 441 (1911).
15. Ky Fan, Proc. Natl. Acad. Sci. U.S.A. 35, 652 (1949).
16. A. Weinstein and W. Stenger, Methods of Intermediate Problems for Eigenvalues (Academic, New York, 1972). Weyl's theorem is discussed on p. 163.