The rotation number for almost periodic potentials

R. Johnson; J. Moser

doi:10.1007/bf01208484

The rotation number for almost periodic potentials

Communications in Mathematical Physics ◽

10.1007/bf01208484 ◽

1982 ◽

Vol 84 (3) ◽

pp. 403-438 ◽

Cited By ~ 251

Author(s):

R. Johnson ◽

J. Moser

Keyword(s):

Rotation Number ◽

Almost Periodic ◽

Periodic Potentials

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The rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials

Journal of Differential Equations ◽

10.1016/j.jde.2015.05.015 ◽

2015 ◽

Vol 259 (8) ◽

pp. 4202-4228

Author(s):

Zhe Zhou

Keyword(s):

Schrödinger Equation ◽

Rotation Number ◽

Schrodinger Equation ◽

Almost Periodic ◽

Periodic Potentials

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The rotation number for almost periodic potentials

Communications in Mathematical Physics ◽

10.1007/bf01205510 ◽

1983 ◽

Vol 90 (2) ◽

pp. 317-318 ◽

Cited By ~ 8

Author(s):

R. Johnson ◽

J. Moser

Keyword(s):

Rotation Number ◽

Almost Periodic ◽

Periodic Potentials

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Mathematical and Physical Properties of Schrodinger Equations with Random and Almost-Periodic Potentials

NATO ASI Series - Chaotic Behavior in Quantum Systems ◽

10.1007/978-1-4613-2443-0_1 ◽

1985 ◽

pp. 1-10

Author(s):

Bernard Souillard

Keyword(s):

Physical Properties ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Almost Periodic ◽

Periodic Potentials

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Optimal estimates on rotation number of almost periodic systems

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-005-0020-y ◽

2005 ◽

Vol 57 (2) ◽

pp. 183-204 ◽

Cited By ~ 11

Author(s):

Hao Feng ◽

Meirong Zhang

Keyword(s):

Rotation Number ◽

Periodic Systems ◽

Almost Periodic ◽

Optimal Estimates

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Electrons in random and almost-periodic potentials

Physics Reports ◽

10.1016/0370-1573(84)90064-4 ◽

1984 ◽

Vol 103 (1-4) ◽

pp. 41-46 ◽

Cited By ~ 21

Author(s):

Bernard Souillard

Keyword(s):

Almost Periodic ◽

Periodic Potentials

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Perturbation Theory for Almost-Periodic Potentials I: One-Dimensional Case

Communications in Mathematical Physics ◽

10.1007/s00220-019-03329-3 ◽

2019 ◽

Vol 366 (3) ◽

pp. 1229-1257 ◽

Cited By ~ 1

Author(s):

Leonid Parnovski ◽

Roman Shterenberg

Keyword(s):

Perturbation Theory ◽

Dimensional Case ◽

Almost Periodic ◽

One Dimensional ◽

Periodic Potentials

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Chaotic band structure of almost-periodic potentials

Physical Review B ◽

10.1103/physrevb.27.6493 ◽

1983 ◽

Vol 27 (10) ◽

pp. 6493-6494 ◽

Cited By ~ 4

Author(s):

Asher Peres

Keyword(s):

Band Structure ◽

Almost Periodic ◽

Periodic Potentials

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Schrödinger operators with almost periodic potentials in nonseparable Hilbert spaces

Banach Center Publications ◽

10.4064/-19-1-121-142 ◽

1987 ◽

Vol 19 (1) ◽

pp. 121-142 ◽

Cited By ~ 5

Author(s):

Jan Herczyński

Keyword(s):

Hilbert Spaces ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Almost Periodic ◽

Periodic Potentials

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Schrödinger Operators with Random and Almost Periodic Potentials

Recent Developments in Mathematical Physics ◽

10.1007/978-3-642-73104-4_5 ◽

1987 ◽

pp. 100-101

Author(s):

B. Simon

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Almost Periodic ◽

Periodic Potentials

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Rotation Numbers of Linear Schrödinger Equations with Almost Periodic Potentials and Phase Transmissions

Annales Henri Poincaré ◽

10.1007/s00023-010-0045-4 ◽

2010 ◽

Vol 11 (4) ◽

pp. 765-780 ◽

Cited By ~ 4

Author(s):

Meirong Zhang ◽

Zhe Zhou

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Almost Periodic ◽

Periodic Potentials ◽

Rotation Numbers

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