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Uniqueness of the self-adjoint extension of singular elliptic differential operators

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01240774openalex-snapshot
Bemerkungen �ber elliptische Differentialoperatoren
inferredcites →https://doi.org/10.1007/bf01343363openalex-snapshot
On the spectral theory of elliptic differential operators. I
inferredcites →https://doi.org/10.1007/bf01350827openalex-snapshot
Halbbeschr�nkte partielle Differentialoperatoren zweiter Ordnung vom elliptischen Typus
inferredcites →https://doi.org/10.1007/bf01452327openalex-snapshot
Singul�re elliptische Differentialoperatoren in Hilbertschen R�umen
inferredcites →https://doi.org/10.1063/1.3058324openalex-snapshot
Eigenfunction Expansions Associated with Second-Order Differential Equations, Part 2
inferredcites →https://doi.org/10.1090/s0002-9947-1951-0041010-xopenalex-snapshot
Fundamental properties of Hamiltonian operators of Schrödinger type
inferredcites →https://doi.org/10.2140/pjm.1959.9.953openalex-snapshot
A note on Kato’s uniqueness criterion for Schrödinger operator self-adjoint extensions
inferredcites →https://doi.org/10.2307/1969490openalex-snapshot
Spectrum of the Static Potential Schrodinger Equation over E n

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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On the continuous spectrum of schrödinger operators
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Eine Anwendung der S OBOLEV schen Einbettungssätze in der Störungstheorie elliptischer Differentialoperatoren
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Hohenberg–Kohn theorems in the presence of magnetic field
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Bounds for eigenfunctions of one‐electron molecular systems
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Essential Self-Adjointness for Semi-bounded Magnetic Schrödinger Operators on Non-compact Manifolds
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Some notions from functional analysis
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Symmetries of quantum systems
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Composite systems
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The second quantization
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Axiomatization of quantum theory
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Composite systems
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Scattering theory
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Quantum waveguides
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Quantum graphs
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Hilbert spaces
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Bounded operators
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Unbounded operators
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Spectral theory
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Operator sets and algebras
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States and observables
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Position and momentum
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Time evolution
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Tosio Kato’s Work on Non-relativistic Quantum Mechanics: A Brief Report
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Decay Estimates in Time for Classical and Anomalous Diffusion
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Calculation of the Spectrum of a Schrodinger Operator
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The Second Quantization
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An Introduction to the Self-Adjointness and Spectral Analysis of Schrödinger Operators
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Some Questions in Non-Relativistic Quantum Scattering Theory
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Existence, uniqueness and some properties of Schrödinger propagators
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The essential self-adjointness of Schrödinger-type operators
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Spectral and scattering theory for Schrödinger operators
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Spectral theory for the wave equation with a potential term
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Kriterien zur selbstadjungiertheit elliptischer differentialopemtoren I
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Eigenfunction expansions associated with Schroedinger operators in Rn, n ? 4
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Thomas-Fermi theory for matter in a magnetic field as a limit of quantum mechanics
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Self-conjugate elliptic operators with singular potential
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Self-adjointness of a differential operator with unbounded singular operator coefficient
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�ber das Verhalten der Spektralschar eines elliptischen Differentialoperators in der Umgebung der Singularit�t des Potentialsq(x)=|x| ??
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Ein Kriterium f�r die Selbstadjungiertheit elliptischer Differentialoperatoren imR n
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�ber die Regularit�t der Spektralschar eines singul�ren elliptischen Differentialoperators
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�ber die symmetrie elliptischer differentialoperatoren
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�ber Regularit�tseigenschaften der Potenzr�ume eines Schr�dinger-Operators mit singul�rem Potential
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Ein Kriterium f�r die Selbstadjungiertheit singul�rer elliptischer Differentialoperatoren im GebietG
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Zur Spektraltheorie von Sturm-Liouville-Operatoren
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Symmetrie elliptischer Differentialoperatoren
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Regularit�tsaussagen mit Anwendungen auf die Spektraltheorie elliptischer Differentialoperatoren
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Zur Spektraltheorie der Schr�dinger-Operatoren
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On the existence of wave operators for the Klein-Gordon equation
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A remark to a paper of Kato and Ikebe
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Schr�dinger operators with singular magnetic vector potentials
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Potential scattering in a homogeneous electrostatic field
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Bemerkungen �ber Schr�dinger-Operatoren mit stark singul�ren Potentialen
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Self-adjointness for strongly singular potentials with a ?|x| fall-off at infinity
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Schr�dinger operators with singular magnetic vector potentials
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On the existence of minimal operators for Schrödinger-type differential expressions
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Essential self-adjointness of Schr�dinger operators with positive potentials
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Bounds for energies of radial lithium
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Gauss’s Theorem and the self-adjointness of Schrödinger operators
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An elementary proof of Harnack’s inequality for Schrödinger operators and related topics
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Essential selfadjointness of singular elliptic operators
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Schrödinger operators with singular potentials
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Second order concentration near the binding energy of the helium schrodinger operator
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On essential self-adjointness of powers and comparison algebras
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Schrödinger evolution equations with magnetic fields
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Schrödinger operators on manifolds, essential self-adjointness, and absence of eigenvalues
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Operatori di Schroedinger con campi elettrici
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A look at the development of spectral and scattering theory in Japan
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Spectral theory of partial differential operators
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On the spectral theory of schrödinger and dirac operators with strongly singular potentials
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On Schrödinger operators with magnetic fields
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The uniqueness of the integrated density of states for the Schrödinger operators with magnetic fields
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The Aharonov-Bohm Solenoids in a Constant Magnetic Field
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The essential self-adjointness of Schrödinger operators on domains with non-empty boundary
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Density of States for the Sub-Laplacian Operator on Heisenberg Groups
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Tosio Kato’s work on non-relativistic quantum mechanics: part 1
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Tosio Kato’s work on non-relativistic quantum mechanics: part 2
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Nodal structure of schroedinger wave functions and its physical significance
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On bound states in the continuum of N-body systems and the virial theorem
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Classical bounds and limits for energy distributions of Hamilton operators in electromagnetic fields
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Kernels of elliptic operators: Bounds and summability
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A limiting absorption principle for the Schrodinger operator with potential increasing as the radius tends to infinity
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On the characterization of the Friedrichs extension of ordinary or elliptic differential operators with a strongly singular potential
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Essential self-adjointness of powers of generators of hyperbolic equations
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Essential self-adjointness of the Schrödinger operator with magnetic vector potential
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Essential self-adjointness of Schrödinger-type operators
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On support properties of Lp-functions and their Fourier transforms
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Scattering and local absorption for the Schrödinger operator
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Kato's inequality and the comparison of semigroups
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A criterion for self-adjointness of singular elliptic differential operators
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Eigenfunction expansions and scattering theory for perturbations of −Δ
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On essential self-adjointness for Schrödinger operators with wildly oscillating potentials
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Limiting absorption principle for some Schrödinger operators with exploding potentials I
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A generalization of the virial theorem for strongly singular potentials
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Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials
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Decay estimates for evolution equations with classical and fractional time-derivatives
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L p – L q estimates for electromagnetic Helmholtz equation. Singular potentials
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Recent Developments in Perturbation Theory
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Bibliography
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References
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Index
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The Limit-Point Classification of Differential Expressions
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Remarks on the Selfadjointness and Related Problems for Differential Operators
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On eigenvalues in the continuum of 2-body or many-body Schrödinger operators
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V.— On the Spectrum of Second Order Partial Differential Operators.
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The essential self-adjointness of differential operators
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On the essential self-adjointness of powers of Schrödinger-type operators
inferred← citeshttps://doi.org/10.1017/s0308210500016887openalex-snapshot
Non-existence of eigenvalues of Schrödinger operators
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Limiting absorption principle for the electromagnetic Helmholtz equation with singular potentials
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Quasiperiodic pointwise solutions of the periodic, time-dependent Schrödinger equation
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Heat kernel estimates and spectral properties of a pseudorelativistic operator with magnetic field
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Schrödinger operators in the twentieth century
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Twelve tales in mathematical physics: An expanded Heineman prize lecture
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Spectral invariants of the magnetic Dirichlet-to-Neumann map on Riemannian manifolds
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SPECTRUM OF DIFFERENTIAL OPERATORS OF QUANTUM-MECHANICAL MANY-PARTICLE SYSTEMS IN SPACES OF FUNCTIONS OF A GIVEN SYMMETRY
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ON THE POINT SPECTRUM IN THE QUANTUM-MECHANICAL MANY-BODY PROBLEM
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THE MAIN MATHEMATICAL PROBLEM IN THE THEORY OF ATOMIC SPECTRA
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Essential self-adjointness of Schrödinger-type operators on manifolds
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Spin interactions in molecules
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DISCRETENESS OF SPECTRUM FOR THE MAGNETIC SCHRÖDINGER OPERATORS
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Electrons in logarithmic potentials. I. Solution of the Schrodinger equation
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Stability of gaps for periodic potentials under variation of a magnetic field
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The single-particle pseudorelativistic Jansen–Hess operator with magnetic field
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On the point spectrum of a relativistic electron in an electric and magnetic field
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Classical and quantum completeness for the Schrödinger operators on non-compact manifolds
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The Wiener integral and perturbation theory of the Schrödinger operator
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The virial theorem and its application to the spectral theory of Schrödinger operators
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A comparision theorem for Hamiltonian vector fields
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On the essential self-adjointness of the general second order elliptic operators
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The Wiener integral and the Schrödinger operator
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The essential spectrum of elliptic differential operators in 𝐿^{𝑝}(𝑅_{𝑛})
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An Identity for Elliptic Equations with Applications
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Spectral theory of Dirac operators with potentials diverging at infinity
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Comment on the Damour-Ruffini treatment of black-hole evaporation
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Klein-Gordon field in a naked-singularity background
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Quantization of unstable linear scalar fields in static spacetimes
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Hypoelliptic Infinitesimal Generators
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Tosio Kato’s work on non-relativistic quantum mechanics, Part 2
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時間依存型 Schrödinger 方程式の解の挙動
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Do mecanismo de despertar do vácuo (ou de como fazer o vácuo pesado)
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References
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Limiting absorption method and absolute continuity for the Schrödinger operator
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Schrödinger operators with magnetic fields. I. general interactions
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The Self-Adjiontness of the Schrödinger Operator on Complete Sub-Riemannian Manifolds
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Long-time dynamics of coherent states in strong magnetic fields
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On essential selfadjointness of the Weyl quantized relativistic Hamiltonian
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The essential self-adjointness of pseudodifferential operators associated with non-elliptic Weyl symbols with large potentials
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Asymptotic distribution of eigenvalues for Schrödinger operators with homogeneous magnetic fields
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On the essential spectrum of the hydrogen energy and related operators
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Spectral concentration for self-adjoint operators
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Schrödinger operators with a nonspherical radiation condition
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The Essential Spectrum of Elliptic Differential Operators in L p (R n )
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A Comparison Theorem for Hamiltonian Vector Fields
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Relativistic Hamiltonians with dilation analytic potentials diverging at infinity
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The Uniqueness of the Integrated Density of States for the Schrödinger Operators for the Robin Boundary Conditions
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On Non-real Eigenvalues of Schrödinger Operators in a Weighted Hilbert Space
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Essential Self-Adjointness of the Schrödinger Operators with Magnetic Fields Diverging at Infinity
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Lower Bounds of Growth Order of Solutions of Schrödinger Equations with Homogeneous Potentials
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The Principle of Limiting Absorption for the Nonselfadjoint Schrödinger Operator in $ℝ^N$ ($N ≠ 2$)
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Finiteness of the Number of Discrete Eigenvalues of the Schrödinger Operator for a Three Particle System
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Finiteness of the Number of Discrete Eigenvalues of the Schrödinger Operator for a Three Particle System
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Wave and Scattering Operators for Second-Order Elliptic Operators in $R^3$
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On the essential spectrum of the many-particle Schrödinger operator with combined Zeeman and Stark effect
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On the spectra of integral operators connected with Boltzmann and Schrödinger operators
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On the existence of eigenvalues of a divergence-form operator A+λB in a gap of σ(A)
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A unique continuation theorem for solutions of the Schrödinger equations
inferred← citeshttps://doi.org/10.3792/pjaa.81.157openalex-snapshot
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inferred← citeshttps://doi.org/10.3934/math.2018.1.21openalex-snapshot
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