Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 (Q4997850)

scientific article; zbMATH DE number 7365317

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English	Tosio Kato’s work on non-relativistic quantum mechanics, Part 2	scientific article; zbMATH DE number 7365317

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instance of

scholarly article

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title

Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 (English)

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author

B. Simon

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published in

Bulletin of Mathematical Sciences

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publication date

30 June 2021

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full work available at URL

https://arxiv.org/abs/1711.00528

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zbMATH Keywords

Kato

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Schrödinger operators

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quantum mechanics

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MaRDI profile type

Publication

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Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus

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A Generalization of a Theorem of Wienholtz Concerning Essential Selfadjointness of Singular Elliptic Operators.

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Operators with singular continuous spectrum, V. Sparse potentials

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Q4720052

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Singuläre elliptische Differentialoperatoren in Hilbertschen Räumen

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The many proofs of an identity on the norm of oblique projections

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Q3876492

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The Efimov effect of three-body Schrödinger operators

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The efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvalues

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Analysis in complex Banach spaces

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The accuracy of Rayleigh’s method of calculating the natural frequencies of vibrating systems

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An elementary proof of Kato's lemma

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A note on the adiabatic theorem without gap condition.

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Adiabatic perturbation theory in quantum dynamics

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Spectral theory for the wave equation with a potential term

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Eigenfunction expansions associated with Schrödinger operators in $R_ n, n\geq 4$

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Some theorems on perturbation theory. V

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Eigenfunction Expansions Associated with Partial Differential Equations

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Q3279399

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Q3276772

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Approximation of semi-groups of operators

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On the Product of Semi-Groups of Operators

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Q4765475

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A Note on Eigenvalues of Normal Transformations

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Finiteness of the number of discrete eigenvalues of the Schrödinger operator for a three particle system

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On a variant of commutator estimates in spectral theory

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Q5613491

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Q5734302

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Q4759674

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On the Location of Spectra of Differential Equations

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Symmetrie elliptischer Differentialoperatoren. II

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Comment on the article ``On the existence of the N-body Efimov effect'' by X.P. Wang

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Existence of two-cluster threshold resonances and the N-body Efimov effect

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The virial theorem and its application to the spectral theory of Schrödinger operators

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Oszillationsmethoden für Systeme gewöhnlicher Differentialgleichungen

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Halbbeschränkte partielle Differentialoperatoren zweiter Ordnung vom elliptischen Typus

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Bemerkungen über elliptische Differentialoperatoren

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Wave operators and asymptotic solutions of wave propagation problems of classical physics

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On the Normalization of Characteristic Differentials in Continuous Spectra

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Supersymmetry and Morse theory

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Analytic perturbation of operators in Banach spaces

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Generalisations of Rellich's theorem on perturbation of (essentially) selfadjoint operators

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A convergence theorem for selfadjoint operators applicable to Dirac operators with cutoff potentials

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Distinguished self-adjoint extensions of Dirac operators constructed by means of cut-off potentials

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Dirac operations with strongly singular potentials. Distinguished self- adjoint extensions constructed with a spectral gap theorem and cut-off potentials

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On the index of Fredholm pairs of idempotents

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ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR

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ON THE POINT SPECTRUM IN THE QUANTUM-MECHANICAL MANY-BODY PROBLEM

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The virtual level of the Schrödinger equation

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Q3996935

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Radiation conditions and scattering theory for $N$-particle Hamiltonians

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The scattering amplitude for the Schrödinger equation with a long-range potential

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Sharp constants in the Hardy-Rellich inequalities

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Scattering theory: some old and new problems

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Q4310191

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The $W^{k,p}$-continuity of wave operators for Schrödinger operators

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Q4870075

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$L^p$-boundedness of wave operators for two-dimensional Schrödinger operators

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Remarks on $L^p$-boundedness of wave operators for Schrödinger operators with threshold singularities

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Higher-order Kato class potentials for Schrödinger operators

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Distribution of poles for scattering on the real line

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Mathematical study of scattering resonances

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Identifiers

zbMATH Open document ID

1472.81094

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DOI

10.1142/S166436071950005X

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4997850