Lyapunov exponents of the Schrödinger equation with quasi-periodic potential on a strip

I. Ya. Goldsheid; E. Sorets

doi:10.1007/bf02099395

Lyapunov exponents of the Schrödinger equation with quasi-periodic potential on a strip

Communications in Mathematical Physics ◽

10.1007/bf02099395 ◽

1992 ◽

Vol 145 (3) ◽

pp. 507-513 ◽

Cited By ~ 4

Author(s):

I. Ya. Goldsheid ◽

E. Sorets

Keyword(s):

Schrödinger Equation ◽

Lyapunov Exponents ◽

Schrodinger Equation ◽

Periodic Potential

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Eigenvalues of the Schrödinger equation for a periodic potential with nonperiodic boundary conditions: A uniform semiclassical analysis

The Journal of Chemical Physics ◽

10.1063/1.446581 ◽

1984 ◽

Vol 80 (10) ◽

pp. 5095-5106 ◽

Cited By ~ 46

Author(s):

J. N. L. Connor ◽

T. Uzer ◽

R. A. Marcus ◽

A. D. Smith

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Periodic Potential ◽

Semiclassical Analysis

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One-Dimensional Schrödinger Equation with an Almost Periodic Potential

Physical Review Letters ◽

10.1103/physrevlett.50.1873 ◽

1983 ◽

Vol 50 (23) ◽

pp. 1873-1876 ◽

Cited By ~ 582

Author(s):

Stellan Ostlund ◽

Rahul Pandit ◽

David Rand ◽

Hans Joachim Schellnhuber ◽

Eric D. Siggia

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Potential ◽

Almost Periodic ◽

One Dimensional

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The one-dimensional Schrödinger equation and a periodic potential

Czechoslovak Journal of Physics ◽

10.1007/bf01599671 ◽

1987 ◽

Vol 37 (11) ◽

pp. 1209-1223 ◽

Cited By ~ 2

Author(s):

L. Trlifaj

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Potential ◽

One Dimensional ◽

The One

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On multiple solutions of a semilinear Schrödinger equation with periodic potential

Nonlinear Analysis ◽

10.1016/j.na.2013.02.006 ◽

2013 ◽

Vol 84 ◽

pp. 39-49 ◽

Cited By ~ 8

Author(s):

Cyril Joel Batkam ◽

Fabrice Colin

Keyword(s):

Schrödinger Equation ◽

Multiple Solutions ◽

Schrodinger Equation ◽

Periodic Potential ◽

Semilinear Schrödinger Equation

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ON THE REDUCTION OF A NONLINEAR SCHRÖDINGER EQUATION WITH A PERIODIC POTENTIAL TO A VECTOR LATTICE

Nonlinear Physics ◽

10.1142/9789812704467_0040 ◽

2003 ◽

Cited By ~ 1

Author(s):

V. V. KONOTOP ◽

G.L. ALFIMOV ◽

P. G. KEVREKIDIS ◽

M. SALERNO

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Potential ◽

Vector Lattice ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Lyapunov exponents of the Schrödinger equation with certain classes of ergodic potentials

American Mathematical Society Translations: Series 2 - Sinai’s Moscow Seminar on Dynamical Systems ◽

10.1090/trans2/171/07 ◽

1995 ◽

pp. 73-80

Author(s):

Ilya Goldsheid ◽

Eugene Sorets

Keyword(s):

Schrödinger Equation ◽

Lyapunov Exponents ◽

Schrodinger Equation

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On a Schrodinger equation with periodic potential and spectrum point zero

Indiana University Mathematics Journal ◽

10.1512/iumj.2003.52.2273 ◽

2003 ◽

Vol 52 (1) ◽

pp. 109-132 ◽

Cited By ~ 74

Author(s):

Michel Willem ◽

Wenming Zou

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Potential ◽

Spectrum Point

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On the stationary Schrödinger equation with a Quasi-periodic potential

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(84)90269-3 ◽

1984 ◽

Vol 124 (1-3) ◽

pp. 535-542 ◽

Cited By ~ 6

Author(s):

Jürgen Moser ◽

Jürgen Poschel

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Potential ◽

Stationary Schrödinger Equation

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Semiclassical Limit for the Schrödinger Equation¶with a Short Scale Periodic Potential

Communications in Mathematical Physics ◽

10.1007/s002200000314 ◽

2001 ◽

Vol 215 (3) ◽

pp. 609-629 ◽

Cited By ~ 15

Author(s):

Frank Hövermann ◽

Herbert Spohn ◽

Stefan Teufel

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Potential ◽

Semiclassical Limit ◽

Short Scale

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Dark Solitons for the Defocusing Cubic Nonlinear Schrödinger Equation with the Spatially Periodic Potential and Nonlinearity

Communications in Theoretical Physics ◽

10.1088/0253-6102/64/3/309 ◽

2015 ◽

Vol 64 (3) ◽

pp. 309-319

Author(s):

Zhen-Ya Yan ◽

Fang-Chi Yan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Potential ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Spatially Periodic ◽

Cubic Nonlinear Schrödinger Equation

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