Semiclassical Spectral Asymptotics for a Magnetic Schrödinger Operator with Non-vanishing Magnetic Field

Trends in Mathematics - Geometric Methods in Physics ◽

10.1007/978-3-319-06248-8_23 ◽

2014 ◽

pp. 259-278 ◽

Author(s):

Bernard Helffer ◽

Yuri A. Kordyukov

Keyword(s):

Magnetic Field ◽

Schrödinger Operator ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

Download Full-text

Magnetic Schrödinger Operator: Short Loops, Pointwise Spectral Asymptotics and Asymptotics of Dirac Energy

Microlocal Analysis, Sharp Spectral Asymptotics and Applications III ◽

10.1007/978-3-030-30537-6_16 ◽

2019 ◽

pp. 415-563

Author(s):

Victor Ivrii

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

Download Full-text

Precise spectral asymptotics for perturbed magnetic Schrödinger operator

Journal de Mathématiques Pures et Appliquées ◽

10.1016/s0021-7824(97)89950-3 ◽

1997 ◽

Vol 76 (3) ◽

pp. 211-236 ◽

Author(s):

S.I. Boyarchenko ◽

S.Z. Levendorskiĭ

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

Download Full-text

Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator: The case of discrete wells

Contemporary Mathematics - Spectral Theory and Geometric Analysis ◽

10.1090/conm/535/10535 ◽

2011 ◽

pp. 55-78 ◽

Author(s):

Bernard Helffer ◽

Yuri Kordyukov

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Two Dimensional ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

Download Full-text

Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator II: The Case of Degenerate Wells

Communications in Partial Differential Equations ◽

10.1080/03605302.2011.626101 ◽

2012 ◽

Vol 37 (6) ◽

pp. 1057-1095 ◽

Author(s):

Bernard Helffer ◽

Yuri A. Kordyukov

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Two Dimensional ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

Download Full-text

Accurate Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator

Annales Henri Poincaré ◽

10.1007/s00023-014-0356-y ◽

2014 ◽

Vol 16 (7) ◽

pp. 1651-1688 ◽

Author(s):

Bernard Helffer ◽

Yuri A. Kordyukov

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Two Dimensional ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

Download Full-text

Local Spectral Asymptotics for the Schrödinger Operator with Strong Magnetic Field

Springer Monographs in Mathematics - Microlocal Analysis and Precise Spectral Asymptotics ◽

10.1007/978-3-662-12496-3_7 ◽

1998 ◽

pp. 275-365

Author(s):

Victor Ivrii

Keyword(s):

Magnetic Field ◽

Strong Magnetic Field ◽

Schrödinger Operator ◽

Spectral Asymptotics ◽

Schrodinger Operator

Download Full-text

Magnetic Schrödinger Operator: Geometry, Classical and Quantum Dynamics and Spectral Asymptotics

Moscow Mathematical Journal ◽

10.17323/1609-4514-2007-7-3-461-479 ◽

2007 ◽

Vol 7 (3) ◽

pp. 461-479 ◽

Author(s):

V. Ivrii

Keyword(s):

Schrödinger Operator ◽

Quantum Dynamics ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator

Download Full-text

The Aharonov–Bohm effect in spectral asymptotics of the magnetic Schrödinger operator

Analysis & PDE ◽

10.2140/apde.2014.7.245 ◽

2014 ◽

Vol 7 (1) ◽

pp. 245-266 ◽

Author(s):

Gregory Eskin ◽

James Ralston

Keyword(s):

Schrödinger Operator ◽

Spectral Asymptotics ◽

Schrodinger Operator ◽

Magnetic Schrödinger Operator ◽

Bohm Effect ◽

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