A Low concentration asymptotic expansion for the density of states of a random Schrödinger operator with Poisson disorder

Journal of Functional Analysis

Volumn 145, Issue 2, 1997, Pages 267-295

  Klopp, Frédéric ^a,b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031569738     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.3021     Document Type: Article

References (11)

1. Helffer B., Sjöstrand J. On diamagnetism and the De Haas-Van Alphen effect. Ann. Inst. Henri Poincaré Sér. Phys. Théor. 52:1990;303.
2. Kirsch W., Martinelli F. On the essential self-adjointness of stochastic Schrödinger operators. Duke Math. J. 50:1983;1255-1260.
3. Kirsch W., Martinelli F. On the Spectrum of Schrödinger Operators with a Random Potential. Commun. Math. Phys. 85:1982;329-350.
4. Klopp F. An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder. R.O.S.E. 3:1995;315-332.
5. Lifshits I. M., Gredeskul S. A., Pastur L. A. Introduction to the Theory of Disordered Systems. 1988;Wiley, New York.
6. Neveu J. Processus Ponctuels. École d'été de Probabilité de Saint-Flour VI-1976. L. N. M. Vol. 598:1977;Springer, Berlin.
7. Pastur L., Figotin A. Spectra of Random and Almost-Periodic Operators. 1992;Springer, Berlin.
8. Reed M., Simon B. Methods of Modern Mathematical Physics, Vol. I: Functional Analysis. 1975;Academic Press, New York.
9. Reed M., Simon B. Methods of Modern Mathematical Physics, Vol. IV: Analysis of Operators. 1978;Academic Press, New York.
10. Simon B. Schrödinger semigroups. Bull. Am. Math. Soc. 7:1982;447-526.
11. von Waldenfels W. Taylor expansion of a Poisson measure. Dellacherie C., Meyer P. A., Weil M. Séminaire de Probabilités VIII. L. N. M. Vol. 381:1974;Springer, Berlin.