Asymptotic expansion of the Lyapunov exponent and the rotation number for the schrödinger operator with random potential

Lecture Notes in Control and Information Sciences - Stochastic Differential Systems Filtering and Control ◽

10.1007/bfb0005066 ◽

2005 ◽

pp. 113-120

Author(s):

Volker Wihstutz

Keyword(s):

Asymptotic Expansion ◽

Lyapunov Exponent ◽

Rotation Number ◽

Schrödinger Operator ◽

Random Potential ◽

Schrodinger Operator

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Analytic expansion of the lyapunov exponent associated to the SchrÖDinger operator with random potential

Stochastic Analysis and Applications ◽

10.1080/07362998508809054 ◽

1985 ◽

Vol 3 (1) ◽

pp. 93-118 ◽

Cited By ~ 10

Author(s):

Volker Wihstutz

Keyword(s):

Lyapunov Exponent ◽

Schrödinger Operator ◽

Random Potential ◽

Schrodinger Operator

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Asymptotic expansion for the density of states of the magnetic Schrödinger operator with a random potential

Communications in Mathematical Physics ◽

10.1007/bf02099434 ◽

1995 ◽

Vol 172 (2) ◽

pp. 401-425 ◽

Cited By ~ 5

Author(s):

Wei-Min Wang

Keyword(s):

Asymptotic Expansion ◽

Density Of States ◽

Schrödinger Operator ◽

Random Potential ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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Extremal Theory for Spectrum of Random Discrete Schrödinger Operator. I. Asymptotic Expansion Formulas

Journal of Statistical Physics ◽

10.1007/s10955-008-9519-x ◽

2008 ◽

Vol 131 (5) ◽

pp. 867-916 ◽

Cited By ~ 15

Author(s):

A. Astrauskas

Keyword(s):

Asymptotic Expansion ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Discrete Schrödinger Operator ◽

Extremal Theory

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Asymptotic expansion of the scattering matrix associated with matrix Schrödinger operator

Asymptotic Analysis ◽

10.3233/asy-2012-1105 ◽

2012 ◽

Vol 80 (1-2) ◽

pp. 57-78 ◽

Cited By ~ 1

Author(s):

Hamadi Baklouti ◽

Slaheddine Ben Abdeljeilil

Keyword(s):

Asymptotic Expansion ◽

Schrödinger Operator ◽

Scattering Matrix ◽

Schrodinger Operator

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On the principal eigenvalue of the Schrödinger operator with a scaled random potential

Waves in Periodic and Random Media - Contemporary Mathematics ◽

10.1090/conm/339/06107 ◽

2003 ◽

pp. 201-216

Author(s):

V. V. Yurinsky

Keyword(s):

Schrödinger Operator ◽

Random Potential ◽

Principal Eigenvalue ◽

Schrodinger Operator

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On the spectral distribution of the Schrödinger operator with random potential

Japanese journal of mathematics ◽

10.4099/math1924.3.111 ◽

1977 ◽

Vol 3 (1) ◽

pp. 111-139 ◽

Cited By ~ 52

Author(s):

Shintaro NAKAO

Keyword(s):

Schrödinger Operator ◽

Spectral Distribution ◽

Random Potential ◽

Schrodinger Operator

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A Low Concentration Asymptotic Expansion for the Density of States of a Random Schrödinger Operator with Poisson Disorder

Journal of Functional Analysis ◽

10.1006/jfan.1996.3021 ◽

1997 ◽

Vol 145 (2) ◽

pp. 267-295 ◽

Cited By ~ 6

Author(s):

Frédéric Klopp

Keyword(s):

Asymptotic Expansion ◽

Density Of States ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Random Schrödinger Operator ◽

Low Concentration ◽

Random Schrodinger Operator

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Spectrum of the schrodinger operator with random potential

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(66)90174-1 ◽

1966 ◽

Vol 6 (6) ◽

pp. 221-228

Author(s):

I.M. Slivnyak

Keyword(s):

Schrödinger Operator ◽

Random Potential ◽

Schrodinger Operator

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An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder

Random Operators and Stochastic Equations ◽

10.1515/rose.1995.3.4.315 ◽

1995 ◽

Vol 3 (4) ◽

Cited By ~ 11

Author(s):

FRÉDÉRIC KLOPP

Keyword(s):

Asymptotic Expansion ◽

Density Of States ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Random Schrödinger Operator ◽

Random Schrodinger Operator

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Supersymmetry and density of states of the magnetic schrödinger operator with a random potential revisited

Communications in Partial Differential Equations ◽

10.1080/03605300008821526 ◽

2000 ◽

Vol 25 (3-4) ◽

pp. 601-679 ◽

Cited By ~ 1

Author(s):

Wbi—Min Wang

Keyword(s):

Density Of States ◽

Schrödinger Operator ◽

Random Potential ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

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