Sharp essential self-adjointness of relativistic Schrödinger operators with a singular potential

Journal of Functional Analysis ◽

10.1016/j.jfa.2014.06.010 ◽

2014 ◽

Vol 267 (6) ◽

pp. 1851-1877 ◽

Cited By ~ 5

Author(s):

Mouhamed Moustapha Fall ◽

Veronica Felli

Keyword(s):

Singular Potential ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Relativistic Schrödinger Operators

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Unique continuation properties for relativistic Schrödinger operators with a singular potential

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2015.35.5827 ◽

2015 ◽

Vol 35 (12) ◽

pp. 5827-5867 ◽

Cited By ~ 23

Author(s):

Mouhamed Moustapha Fall ◽

Veronica Felli

Keyword(s):

Singular Potential ◽

Schrödinger Operators ◽

Unique Continuation ◽

Schrodinger Operators ◽

Relativistic Schrödinger Operators

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Path integrals for relativistic Schrodinger operators

Schrödinger Operators - Lecture Notes in Physics ◽

10.1007/3-540-51783-9_17 ◽

2008 ◽

pp. 65-92 ◽

Cited By ~ 4

Author(s):

Rene Carmona

Keyword(s):

Path Integrals ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Relativistic Schrödinger Operators

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Unicity of the Integrated Density of States for Relativistic Schrödinger Operators with Regular Magnetic Fields and Singular Electric Potentials

Integral Equations and Operator Theory ◽

10.1007/s00020-010-1777-8 ◽

2010 ◽

Vol 67 (2) ◽

pp. 215-246 ◽

Cited By ~ 4

Author(s):

Viorel Iftimie ◽

Marius Măntoiu ◽

Radu Purice

Keyword(s):

Magnetic Fields ◽

Density Of States ◽

Schrödinger Operators ◽

Integrated Density Of States ◽

Schrodinger Operators ◽

Electric Potentials ◽

Relativistic Schrödinger Operators

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Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions

Journal of Functional Analysis ◽

10.1016/0022-1236(90)90049-q ◽

1990 ◽

Vol 91 (1) ◽

pp. 117-142 ◽

Cited By ~ 129

Author(s):

René Carmona ◽

Wen Chen Masters ◽

Barry Simon

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Relativistic Schrödinger Operators

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On Three Magnetic Relativistic Schrödinger Operators and Imaginary-Time Path Integrals

Letters in Mathematical Physics ◽

10.1007/s11005-012-0573-6 ◽

2012 ◽

Vol 101 (3) ◽

pp. 323-339 ◽

Cited By ~ 1

Author(s):

Takashi Ichinose

Keyword(s):

Path Integrals ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Imaginary Time ◽

Time Path ◽

Relativistic Schrödinger Operators

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Criticality theory for Schrödinger operators with singular potential

Journal of Differential Equations ◽

10.1016/j.jde.2018.05.006 ◽

2018 ◽

Vol 265 (8) ◽

pp. 3400-3440 ◽

Cited By ~ 1

Author(s):

Marcello Lucia ◽

S. Prashanth

Keyword(s):

Singular Potential ◽

Schrödinger Operators ◽

Schrodinger Operators

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LP-Theory of Schrödinger Operators with a Singular Potential

North-Holland Mathematics Studies - Aspects of Positivity in Functional Analysis, Proceedings of the Conference held on the Occasion of H.H. Schaefer's 60th Birthday ◽

10.1016/s0304-0208(08)71949-2 ◽

1986 ◽

pp. 63-78 ◽

Cited By ~ 11

Author(s):

Tosio Kato

Keyword(s):

Singular Potential ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Lp Theory

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Direct Methods for Pseudo-relativistic Schrödinger Operators

Journal of Geometric Analysis ◽

10.1007/s12220-020-00492-1 ◽

2020 ◽

Cited By ~ 3

Author(s):

Wei Dai ◽

Guolin Qin ◽

Dan Wu

Keyword(s):

Schrödinger Operators ◽

Direct Methods ◽

Schrodinger Operators ◽

Relativistic Schrödinger Operators

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Estimates of Green and Martin kernels for Schrödinger operators with singular potential in Lipschitz domains

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2018.09.003 ◽

2019 ◽

Vol 36 (5) ◽

pp. 1183-1200 ◽

Cited By ~ 1

Author(s):

Moshe Marcus

Keyword(s):

Singular Potential ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Lipschitz Domains

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A generalization related to Schrödinger operators with a singular potential

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171202007974 ◽

2002 ◽

Vol 29 (10) ◽

pp. 609-611 ◽

Cited By ~ 1

Author(s):

Toka Diagana

Keyword(s):

Schrödinger Operator ◽

Singular Potential ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Schrodinger Operator ◽

Open Question

The purpose of this note is to generalize a result related to the Schrödinger operatorL=−Δ+Q, whereQis a singular potential. Indeed, we show thatD(L)={0}inL2(ℝd)ford≥4. This fact answers to an open question that we formulated.

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