Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemannian manifold

Journal of Functional Analysis ◽

10.1016/0022-1236(87)90108-x ◽

1987 ◽

Vol 75 (1) ◽

pp. 92-127 ◽

Author(s):

Ichiro Shigekawa

Keyword(s):

Magnetic Field ◽

Riemannian Manifold ◽

Schrödinger Operator ◽

Compact Riemannian Manifold ◽

Eigenvalue Problems ◽

Schrodinger Operator ◽

The Magnetic Field

Download Full-text

Semi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifold

Journal of Functional Analysis ◽

10.1016/j.jfa.2007.06.009 ◽

2007 ◽

Vol 251 (1) ◽

pp. 59-121 ◽

Author(s):

Shigeki Aida

Keyword(s):

Riemannian Manifold ◽

Schrödinger Operator ◽

Classical Limit ◽

Compact Riemannian Manifold ◽

Schrodinger Operator ◽

Bottom Of Spectrum

Download Full-text

Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field

Mathematical Modelling of Natural Phenomena ◽

10.1051/mmnp/20105408 ◽

2010 ◽

Vol 5 (4) ◽

pp. 175-197 ◽

Author(s):

A. Iantchenko ◽

E. Korotyaev

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator

Download Full-text

Riesz Lp summability of spectral expansions related to the Schrödinger operator with constant magnetic field

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(03)00357-3 ◽

2003 ◽

Vol 284 (1) ◽

pp. 315-331 ◽

Author(s):

G. Rozenblum ◽

G. Tashchiyan

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Constant Magnetic Field ◽

Schrodinger Operator ◽

Spectral Expansions

Download Full-text

On fractal structure of the spectrum for periodic point perturbations of the Schrödinger operator with a uniform magnetic field

Mathematical Results in Quantum Mechanics ◽

10.1007/978-3-0348-8745-8_23 ◽

1999 ◽

pp. 259-265 ◽

Author(s):

V. A. Geyler ◽

K. V. Pankrashkin

Keyword(s):

Magnetic Field ◽

Periodic Point ◽

Schrödinger Operator ◽

Uniform Magnetic Field ◽

Fractal Structure ◽

Schrodinger Operator

Download Full-text

2D-Schrödinger Operator with the Strong Magnetic Field near Boundary

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III ◽

10.1007/978-3-030-30537-6_15 ◽

2019 ◽

pp. 317-413

Author(s):

Victor Ivrii

Keyword(s):

Magnetic Field ◽

Strong Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator

Download Full-text

A remark on the Lifshitz tail for Schrödinger operator with random magnetic field

Proceedings - Mathematical Sciences ◽

10.1007/bf02829649 ◽

2002 ◽

Vol 112 (1) ◽

pp. 183-187 ◽

Author(s):

Shu Nakamura

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Random Magnetic Field ◽

Download Full-text

The Schrödinger operator on an infinite wedge with a tangent magnetic field

Journal of Mathematical Physics ◽

10.1063/1.4801784 ◽

2013 ◽

Vol 54 (4) ◽

pp. 041507 ◽

Author(s):

Nicolas Popoff

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Download Full-text

Lifshitz Tail for 2D Discrete Schrödinger Operator with Random Magnetic Field

Annales Henri Poincaré ◽

10.1007/pl00001016 ◽

2000 ◽

Vol 1 (5) ◽

pp. 823-835 ◽

Author(s):

S. Nakamura

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Discrete Schrödinger Operator ◽

Random Magnetic Field ◽

Download Full-text

On the fundamental state for a Schrödinger operator with magnetic field in a domain with corners

Comptes Rendus Mathematique ◽

10.1016/s1631-073x(03)00008-6 ◽

2003 ◽

Vol 336 (2) ◽

pp. 135-140 ◽

Author(s):

Virginie Bonnaillie

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Fundamental State

Download Full-text

Lifshitz Tail for Schrödinger Operator¶with Random Magnetic Field

Communications in Mathematical Physics ◽

10.1007/s002200000276 ◽

2000 ◽

Vol 214 (3) ◽

pp. 565-572 ◽

Author(s):

Shu Nakamura

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Random Magnetic Field ◽

Download Full-text