Quantized Riemann surfaces and semiclassical spectral series for a non-self-adjoint Schrödinger operator with periodic coefficients

S. V. Galtsev; A. I. Shafarevich

doi:10.1007/s11232-006-0100-y

Quantized Riemann surfaces and semiclassical spectral series for a non-self-adjoint Schrödinger operator with periodic coefficients

Theoretical and Mathematical Physics ◽

10.1007/s11232-006-0100-y ◽

2006 ◽

Vol 148 (2) ◽

pp. 1049-1066 ◽

Cited By ~ 7

Author(s):

S. V. Galtsev ◽

A. I. Shafarevich

Keyword(s):

Schrödinger Operator ◽

Riemann Surfaces ◽

Schrodinger Operator ◽

Spectral Series ◽

Periodic Coefficients

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Semiclassical spectral series of the Schrödinger operator on surfaces in magnetic fields

Mathematical Notes ◽

10.1007/s11006-006-0109-4 ◽

2006 ◽

Vol 80 (1-2) ◽

pp. 65-71

Author(s):

R. V. Nekrasov

Keyword(s):

Magnetic Fields ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Spectral Series

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Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution

Doklady Mathematics ◽

10.1134/s1064562412050365 ◽

2012 ◽

Vol 86 (2) ◽

pp. 694-696 ◽

Cited By ~ 8

Author(s):

T. Ratiu ◽

T. A. Filatova ◽

A. I. Shafarevich

Keyword(s):

Schrödinger Operator ◽

Schrodinger Operator ◽

Spectral Series ◽

Surface Of Revolution ◽

Delta Potential ◽

Lagrangian Manifolds

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Semiclassical spectral series of the Schrödinger operator with a delta potential on a straight line and on a sphere

Theoretical and Mathematical Physics ◽

10.1007/s11232-010-0085-4 ◽

2010 ◽

Vol 164 (2) ◽

pp. 1064-1080 ◽

Cited By ~ 8

Author(s):

T. A. Filatova ◽

A. I. Shafarevich

Keyword(s):

Schrödinger Operator ◽

Schrodinger Operator ◽

Spectral Series ◽

Delta Potential ◽

Straight Line

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The inverse scattering problem for the difference Schrödinger operator with asymptotically periodic coefficients on the half-axis

Doklady Mathematics ◽

10.1134/s106456240604020x ◽

2006 ◽

Vol 74 (1) ◽

pp. 548-551 ◽

Cited By ~ 3

Author(s):

Ag. Kh. Khanmamedov

Keyword(s):

Inverse Scattering ◽

Schrödinger Operator ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Schrodinger Operator ◽

Periodic Coefficients ◽

Asymptotically Periodic ◽

The Difference ◽

Half Axis

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Spectral series of the Schrödinger operator in thin waveguides with periodic structure, I adiabatic approximation and semiclassical asymptotics in the 2D case

Russian Journal of Mathematical Physics ◽

10.1134/s1061920806040029 ◽

2006 ◽

Vol 13 (4) ◽

pp. 380-396 ◽

Cited By ~ 3

Author(s):

J. Brüning ◽

S. Dobrokhotov ◽

S. Sekerzh-Zenkovich ◽

T. Tudorovskiy

Keyword(s):

Periodic Structure ◽

Schrödinger Operator ◽

Adiabatic Approximation ◽

Schrodinger Operator ◽

Spectral Series ◽

Semiclassical Asymptotics

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Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold

Russian Journal of Mathematical Physics ◽

10.1134/s1061920813030072 ◽

2013 ◽

Vol 20 (3) ◽

pp. 326-335 ◽

Cited By ~ 8

Author(s):

T. S. Ratiu ◽

A. A. Suleimanova ◽

A. I. Shafarevich

Keyword(s):

Schrödinger Operator ◽

Three Dimensional ◽

Spherically Symmetric ◽

Schrodinger Operator ◽

Spectral Series ◽

Symmetric Manifold ◽

Delta Potential

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Spectral series of the Schrödinger operator in a thin waveguide with a periodic structure. 2. Closed three-dimensional waveguide in a magnetic field

Russian Journal of Mathematical Physics ◽

10.1134/s1061920811010055 ◽

2011 ◽

Vol 18 (1) ◽

pp. 33-53 ◽

Cited By ~ 1

Author(s):

J. Brüning ◽

S. Yu. Dobrokhotov ◽

S. Ya. Sekerzh-Zen’kovich ◽

T. Ya. Tudorovskiy

Keyword(s):

Magnetic Field ◽

Periodic Structure ◽

Schrödinger Operator ◽

Three Dimensional ◽

Schrodinger Operator ◽

Spectral Series

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Absolute continuity of the spectrum of two-dimensional Schrödinger operator with partially periodic coefficients

St Petersburg Mathematical Journal ◽

10.1090/spmj/1498 ◽

2018 ◽

Vol 29 (2) ◽

pp. 383-398

Author(s):

N. Filonov

Keyword(s):

Schrödinger Operator ◽

Absolute Continuity ◽

Two Dimensional ◽

Schrodinger Operator ◽

Periodic Coefficients ◽

Continuity Of The Spectrum

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Semiclassical spectral series of a quantum Schrödinger operator corresponding to a singular circle composed of equilibria

Russian Journal of Mathematical Physics ◽

10.1134/s1061920816030055 ◽

2016 ◽

Vol 23 (3) ◽

pp. 348-354

Author(s):

V. L. Chernyshev

Keyword(s):

Schrödinger Operator ◽

Schrodinger Operator ◽

Spectral Series

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Integrable dispersive chains and energy dependent Schrödinger operator

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/47/29/295204 ◽

2014 ◽

Vol 47 (29) ◽

pp. 295204 ◽

Cited By ~ 7

Author(s):

Maxim V Pavlov

Keyword(s):

Schrödinger Operator ◽

Schrodinger Operator ◽

Energy Dependent

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