Eigenvalue asymptotics and Bohr’s formula for fractal Schrödinger operators

Pacific Journal of Mathematics ◽

10.2140/pjm.2019.300.83 ◽

2019 ◽

Vol 300 (1) ◽

pp. 83-119 ◽

Author(s):

Sze-Man Ngai ◽

Wei Tang

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics

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Eigenvalue asymptotics for the Schrödinger operators on the hyperbolic plane

Journal of Functional Analysis ◽

10.1016/s0022-1236(03)00237-4 ◽

2004 ◽

Vol 211 (2) ◽

pp. 424-456 ◽

Author(s):

Yuzuru Inahama ◽

Shin-ichi Shirai

Keyword(s):

Hyperbolic Plane ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics

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Eigenvalue asymptotics of Schrödinger operators with only discrete spectrum

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195167733 ◽

1992 ◽

Vol 28 (6) ◽

pp. 943-981

Author(s):

Kazuya Tachizawa

Keyword(s):

Discrete Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics

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On the eigenvalue asymptotics of Zonal Schrödinger operators in even metric and non-even metric

Cogent Mathematics ◽

10.1080/23311835.2016.1141452 ◽

2016 ◽

Vol 3 (1) ◽

pp. 1141452

Author(s):

Lung-Hui Chen ◽

Carlo Cattani

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics

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Eigenvalue asymptotics for the Schrödinger operators on the real and the complex hyperbolic spaces

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2004.01.005 ◽

2004 ◽

Vol 83 (5) ◽

pp. 589-627

Author(s):

Yuzuru Inahama ◽

Shin-Ichi Shirai

Keyword(s):

Schrödinger Operators ◽

Hyperbolic Spaces ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics ◽

The Real ◽

Complex Hyperbolic Spaces

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Eigenvalue asymptotics for Schrödinger operators on sparse graphs

Annales de l’institut Fourier ◽

10.5802/aif.2979 ◽

2015 ◽

Vol 65 (5) ◽

pp. 1969-1998 ◽

Author(s):

Michel Bonnefont ◽

Sylvain Golénia ◽

Matthias Keller

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics ◽

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Eigenvalue Asymptotics for Weakly Perturbed Dirac and Schrödinger Operators with Constant Magnetic Fields of Full Rank

Communications in Partial Differential Equations ◽

10.1081/pde-120020493 ◽

2003 ◽

Vol 28 (3-4) ◽

pp. 697-736 ◽

Author(s):

M. Melgaard ◽

G. Rozenblum

Keyword(s):

Magnetic Fields ◽

Schrödinger Operators ◽

Full Rank ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics

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Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-96-01709-6 ◽

1996 ◽

Vol 348 (11) ◽

pp. 4465-4488 ◽

Author(s):

Zhongwei Shen

Keyword(s):

Magnetic Fields ◽

Exponential Decay ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics

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On the essential spectrum and eigenvalue asymptotics of certain Schrödinger operators

Studia Mathematica ◽

10.4064/sm-96-3-195-202 ◽

1990 ◽

Vol 96 (3) ◽

pp. 195-202

Author(s):

Wiesław Cupała

Keyword(s):

Essential Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics

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Classical and non-classical eigenvalue asymptotics for magnetic Schrödinger operators

Journal of Functional Analysis ◽

10.1016/0022-1236(91)90039-8 ◽

1991 ◽

Vol 95 (2) ◽

pp. 460-482 ◽

Author(s):

Hiroyuki Matsumoto

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics

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On the eigenvalue asymptotics of certain Schrödinger operators

Studia Mathematica ◽

10.4064/sm-105-1-101-104 ◽

1993 ◽

Vol 105 (1) ◽

pp. 101-104

Author(s):

Wiesław Cupała

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Eigenvalue Asymptotics

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