Classical and quantum completeness for the Schrödinger operators on non-compact manifolds

Geometric Aspects of Partial Differential Equations - Contemporary Mathematics ◽

10.1090/conm/242/03672 ◽

1999 ◽

pp. 257-269 ◽

Author(s):

Mikhail Shubin

Keyword(s):

Schrödinger Operators ◽

Compact Manifolds ◽

Schrodinger Operators

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Separation property for Schrödinger operators inLp-spaces on non-compact manifolds

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2011.625090 ◽

2013 ◽

Vol 58 (6) ◽

pp. 853-864 ◽

Author(s):

Ognjen Milatovic

Keyword(s):

Schrödinger Operators ◽

Separation Property ◽

Compact Manifolds ◽

Schrodinger Operators

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Spectral properties of Schrödinger operators on compact manifolds: Rigidity, flows, interpolation and spectral estimates

Comptes Rendus Mathematique ◽

10.1016/j.crma.2013.06.014 ◽

2013 ◽

Vol 351 (11-12) ◽

pp. 437-440 ◽

Author(s):

Jean Dolbeault ◽

Maria J. Esteban ◽

Ari Laptev ◽

Michael Loss

Keyword(s):

Spectral Properties ◽

Schrödinger Operators ◽

Compact Manifolds ◽

Schrodinger Operators ◽

Spectral Estimates

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On Strichartz estimates for Schrödinger operators in compact manifolds with boundary

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-07-09114-9 ◽

2008 ◽

Vol 136 (01) ◽

pp. 247-257 ◽

Author(s):

Matthew D. Blair ◽

Hart F. Smith ◽

Christopher D. Sogge

Keyword(s):

Schrödinger Operators ◽

Strichartz Estimates ◽

Compact Manifolds ◽

Schrodinger Operators ◽

Manifolds With Boundary

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Essential Self-Adjointness for Semi-bounded Magnetic Schrödinger Operators on Non-compact Manifolds

Journal of Functional Analysis ◽

10.1006/jfan.2001.3778 ◽

2001 ◽

Vol 186 (1) ◽

pp. 92-116 ◽

Author(s):

Mikhail Shubin

Keyword(s):

Schrödinger Operators ◽

Compact Manifolds ◽

Schrodinger Operators

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The Lowest Eigenvalue of Schrödinger Operators on Compact Manifolds

Potential Analysis ◽

10.1007/s11118-018-9698-2 ◽

2018 ◽

Vol 50 (4) ◽

pp. 621-630

Author(s):

Michael G. Dabkowski ◽

Michael T. Lock

Keyword(s):

Schrödinger Operators ◽

Compact Manifolds ◽

Schrodinger Operators ◽

Lowest Eigenvalue

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Asymptotics for the Number of Negative Eigenvalues of Three-Body Schrödinger Operators with Efimov Effect

Spectral and Scattering Theory and Applications ◽

10.2969/aspm/02310311 ◽

2018 ◽

Author(s):

Hideo Tamura

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Efimov Effect ◽

Negative Eigenvalues ◽

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Weyl formulae for Schrödinger operators with critically singular potentials

Communications in Partial Differential Equations ◽

10.1080/03605302.2021.1925915 ◽

2021 ◽

pp. 1-46

Author(s):

Xiaoqi Huang ◽

Christopher D. Sogge

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators ◽

Singular Potentials

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Coincidence of weighted Hardy spaces associated with higher-order Schrödinger operators

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2021.103031 ◽

2021 ◽

pp. 103031

Author(s):

Trong Ngoc Nguyen ◽

Truong Xuan Le ◽

Tan Duc Do

Keyword(s):

Hardy Spaces ◽

Schrödinger Operators ◽

Higher Order ◽

Schrodinger Operators ◽

Weighted Hardy Spaces

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Existence of the Gauge for Fractional Laplacian Schrödinger Operators

Journal of Geometric Analysis ◽

10.1007/s12220-020-00576-y ◽

2021 ◽

Author(s):

Michael W. Frazier ◽

Igor E. Verbitsky

Keyword(s):

Fractional Laplacian ◽

Schrödinger Operators ◽

Schrodinger Operators

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Absence of Eigenvalues of Analytic Quasi-Periodic Schrödinger Operators on $${\mathbb {R}}^d$$

Communications in Mathematical Physics ◽

10.1007/s00220-021-04174-z ◽

2021 ◽

Author(s):

Yunfeng Shi

Keyword(s):

Schrödinger Operators ◽

Schrodinger Operators

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