Estimates for a number of negative eigenvalues of the Schrödinger operator with intensive magnetic field

Journées Équations aux dérivées partielles ◽

10.5802/jedp.341 ◽

1987 ◽

pp. 1-7

Author(s):

Victor Ivrii

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Negative Eigenvalues

On the number of negative eigenvalues for a Schrödinger operator with magnetic field

Communications in Mathematical Physics ◽

10.1007/bf02506420 ◽

1996 ◽

Vol 182 (3) ◽

pp. 637-660 ◽

Cited By ~ 3

Author(s):

Zhongwei Shen

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Negative Eigenvalues

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 ◽

Cited By ~ 5

Author(s):

A. Iantchenko ◽

E. Korotyaev

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator

Estimates for negative eigenvalues of a random Schrödinger operator

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-08-09356-8 ◽

2008 ◽

Vol 136 (11) ◽

pp. 3921-3929 ◽

Cited By ~ 1

Author(s):

O. Safronov ◽

B. Vainberg

Keyword(s):

Schrödinger Operator ◽

Schrodinger Operator ◽

Random Schrödinger Operator ◽

Negative Eigenvalues ◽

Random Schrodinger Operator

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 ◽

Cited By ~ 2

Author(s):

G. Rozenblum ◽

G. Tashchiyan

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Constant Magnetic Field ◽

Schrodinger Operator ◽

Spectral Expansions

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 ◽

Cited By ~ 1

Author(s):

V. A. Geyler ◽

K. V. Pankrashkin

Keyword(s):

Magnetic Field ◽

Periodic Point ◽

Schrödinger Operator ◽

Uniform Magnetic Field ◽

Fractal Structure ◽

Schrodinger Operator

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

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 ◽

Cited By ~ 1

Author(s):

Shu Nakamura

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Random Magnetic Field ◽

Lifshitz Tail

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 ◽

Cited By ~ 2

Author(s):

Nicolas Popoff

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Infinite Wedge

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

Annales Henri Poincaré ◽

10.1007/pl00001016 ◽

2000 ◽

Vol 1 (5) ◽

pp. 823-835 ◽

Cited By ~ 13

Author(s):

S. Nakamura

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Discrete Schrödinger Operator ◽

Random Magnetic Field ◽

Lifshitz Tail

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 ◽

Cited By ~ 7

Author(s):

Virginie Bonnaillie

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Fundamental State