Infiniteness of zero modes for the Pauli operator with singular magnetic field

Grigori Rozenblum, N. A. Shirokov

Type: Article

Publication Date: 2005-09-22

Citations: 29

DOI: https://doi.org/10.1016/j.jfa.2005.08.001

View Publication

Locations

arXiv (Cornell University) - View - PDF
Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+	Infiniteness of zero modes for the Pauli operator with singular magnetic field	2005	Grigori Rozenblum N. A. Shirokov
+	On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field	2005	Mikael Persson
+	On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field	2005	Mikael Persson
+ PDF Chat	Singular continuous Cantor spectrum for magnetic quantum walks	2020	Christopher Cedzich Jake Fillman T. Geib Albert H. Werner
+	Absence of eigenvalues of two-dimensional magnetic Schrödinger operators	2018	Luca Fanelli David Krejčiřı́k Luis Vega
+	On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field.	2005	Mikael Persson
+	Absolute Continuity of the Spectrum of a Periodic 3D Magnetic Schrödinger Operator with Singular Electric Potential	2021	Л. И. Данилов
+ PDF Chat	On the Dirac and Pauli Operators with Several Aharonov–Bohm Solenoids	2006	Mikael Persson
+	Approximate Zero Modes for the Pauli Operator on a Region	2014	Daniel M. Elton
+	Approximate Zero Modes for the Pauli Operator on a Region	2014	Daniel M. Elton
+	Singular eigenfunctions completeness of Fokker-Planck equation	2005	V. Stancic
+ PDF Chat	Approximate zero modes for the Pauli operator on a region	2016	Daniel M. Elton
+	Eigenvalues in spectral gaps of the two-dimensional Pauli operator	2000	Alexander Besch
+ PDF Chat	Breaking a magnetic zero locus: model operators and numerical approach	2013	Virginie Bonnaillie‐Noël Nicolas Raymond
+	On the essential spectrum of two-dimensional Pauli operators with repulsive potentials	2014	Josef Mehringer
+	On the essential spectrum of two-dimensional Pauli operators with repulsive potentials	2014	Josef Mehringer
+	Pauli Hamiltonians with an Aharonov–Bohm flux	2024	William Borrelli Michele Correggi Davide Fermi
+ PDF Chat	Finiteness of the lower spectrum of Schrödinger operators with singular potentials	1991	Jörg Donig
+	Finiteness of the Lower Spectrum of Schrodinger Operators with Singular Potentials	1991	Jorg Donig
+ PDF Chat	Quantum states of a neutral massive fermion with an anomalous magnetic moment in an Aharonov–Casher field	2017	V. R. Khalilov

Works That Cite This (29)

Action	Title	Year	Authors
+ PDF Chat	The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators	2023	Alan L. Carey Fritz Gesztesy Galina Levitina Roger Nichols Fedor Sukochev Dmitriy Zanin
+ PDF Chat	The zero modes and zero resonances of massless Dirac operators	2008	Yoshimi Saitō Tomio Umeda
+ PDF Chat	Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two	2022	Hynek Kovařík
+	Confinement–deconfinement transitions for two-dimensional Dirac particles	2013	Josef Mehringer Edgardo Stockmeyer
+	Resonances at the Threshold for Pauli Operators in Dimension Two	2023	Jonathan Breuer Hynek Kovařík
+	Aharonov–Casher Theorems for Dirac Operators on Manifolds with Boundary and APS Boundary Condition	2024	M. Fialová
+ PDF Chat	On the dimension of the Fock type spaces	2021	Alexander Borichev Văn An Lê El Hassan Youssfi
+ PDF Chat	Spectral Properties of 2D Pauli Operators with Almost-Periodic Electromagnetic Fields	2019	Jean‐François Bony Nicolás Espinoza Georgi Raikov
+	Recent developments in quantum mechanics with magnetic fields	2005	László Erdős
+ PDF Chat	Non-Existence of Zero Resonances of Pauli Operators	2011	Tsutomu Morita

Works Cited by This (16)

Action	Title	Year	Authors
+	None	1998	Riccardo Adami Alessandro Teta
+ PDF Chat	The essential spectrum of two-dimensional Schrödinger operators with perturbed constant magnetic fields	1983	Akira Iwatsuka
+	Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry	1987	Hans L. Cycon Barry Simon
+ PDF Chat	Pauli approximations to the self-adjoint extensions of the Aharonov–Bohm Hamiltonian	2003	James L. Borg J. V. Pulé
+	On the Lieb-Thirring estimates for the Pauli operator	1996	Alexander V. Sobolev
+	NORM RESOLVENT CONVERGENCE TO MAGNETIC SCHRÖDINGER OPERATORS WITH POINT INTERACTIONS	2001	Hideo Tamura
+ PDF Chat	Pauli Operator and Aharonov-Casher Theorem¶ for Measure Valued Magnetic Fields	2002	László Erdős Vitali Vougalter
+	Zero modes in a periodic system of Aharonov-Bohm solenoids	2002	V. A. Geyler E.N. Grishanov
+	Spectral properties of Schrödinger operators with magnetic fields for a spin 12 particle	1991	Ichirō Shigekawa
+	Analytic function theory	1959	Einar Hille