Anderson model with decaying randomness existence of extended states

Proceedings - Mathematical Sciences - Tập 100 Số 3 - Trang 285-294 - 1990
M. Krishna1
1The Institute of Mathematical Sciences, Taramani, Madras, India

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Amrein W O, Jauch J M and Sinha K B, Scattering theory in quantum mechanics (Benjamin: Reading) (1977)

Carmona R, in Springer lecture notes in mathematics No. 1180 (1986)

Carmona R, Klein A and Martinelli F,Commun. Math. Phys. 108 (1987) 41–66

Cycone H L, Froese R, Kirsh W, Simon B,Schrödinger operators, (Springer) (1987)

Deift P and Simon B,Commun. Math. Phys. 90 (1983) 389–411

Delyon F, Levy Y and Souillard B,Commun. Math. Phys. 100 (1985) 463

Delyon F, Simon B and Souillard B,Phys. Rev. Lett. 52 2187 (1984);Ann. Inst. H. Poincar’e.42 (1985) 283–309

Fröhlich J, Martinelli F, Scoppola E, Spencer T,Commun. Math. Phys. 101 (1985) 21–46

Fröhlich J and Spencer T,Commun. Math. Phys. 88 (1983) 151–184

Kunz H and Souillard B,J. Phys. Lett. (Paris)44 (1983) 411–414

Kotani S, inProceedings of Taniguchi Symposium, (ed) A Katata, (1982) 443–452

Kotani S and Ushiroya N,Commun. Math. Phys. 115 (1988) 247–266

Pillet C,Commun. Math. Phys. 102 (1985) 237–254

Reed M and Simon B,Methods of modern mathematical physics III, Scattering theory, (Academic Press) (1978)

Reed M and Simon B,Methods of modern mathematical physics IV, Analysis of operators, (Academic Press) (1978)

Simon B,Commun. Math. Phys. 89 (1983) 227

Simon B,Commun. Math. Phys. 87 (1982) 253–258

Simon B and Spencer T,Commun. Math. Phys. 125 (1989) 113

Simon B and Wolff T,Commun. Pure Appl. Math. 39 (1986) 75–90

Spencer T, The Schrödinger equation with a random potential—a mathematical review, inProc. 1984 Less Houches Summer School

Watson G N,A treatise on the theory of Bessel functions, (Cambridge: University Press) (1962)