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scientific article; zbMATH DE number 7064699

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English	No label defined	scientific article; zbMATH DE number 7064699

Statements

scholarly article

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Sergio A. Albeverio

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publication date

11 June 2019

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full work available at URL

http://www1.mat.uniroma1.it/ricerca/rendiconti/39_2_(2018)_161-180.html

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zbMATH Keywords

quantum fields

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point interactions

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MaRDI profile type

MaRDI publication profile

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Coupling in the singular limit of thin quantum waveguides

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Relative partition function of Coulomb plus delta interaction

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The number of eigenvalues of three-particle Schrödinger operators on lattices

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The discrete spectrum of the spinless one-dimensional Salpeter Hamiltonian perturbed by<i>δ</i>-interactions

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Singular Perturbations and Nonstandard Analysis

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Energy forms, Hamiltonians, and distorted Brownian paths

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Resonance free regions and non-Hermitian spectral optimization for Schrödinger point interactions

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On the multilevel internal structure of the asymptotic distribution of resonances

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Diffusion processes in thin tubes and their limits on graphs

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The Efimov effect and an extended Szegő-Kac limit theorem

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The threshold effects for the two-particle Hamiltonians on lattices

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Nontrivial attractors in a model related to the three-body quantum problem

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Efimov effect for a three-particle system with two identical fermions

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On the quantum mechanical three-body problem with zero-range interactions

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Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces

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On the spectral properties of Dirac operators with electrostatic \(\delta\)-shell interactions

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Quantum Graphs and Their Applications

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On contact interactions as limits of short-range potentials

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Nonrelativistic limit for \(2p \times 2p\)-Dirac operators with point interactions on a discrete set

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Perturbations of eigenvalues embedded at threshold: Two-dimensional solvable models

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Relative-Zeta and Casimir Energy for a Semitransparent Hyperplane Selecting Transverse Modes

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Point interactions in acoustics: One-dimensional models

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A quantum hybrid with a thin antenna at the vertex of a wedge

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STABILITY FOR A SYSTEM OF N FERMIONS PLUS A DIFFERENT PARTICLE WITH ZERO-RANGE INTERACTIONS

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A class of Hamiltonians for a three-particle fermionic system at unitarity

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A variational proof of the Thomas effect

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Lectures on the Mathematics of Quantum Mechanics I

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Lectures on the Mathematics of Quantum Mechanics II: Selected Topics

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A Brief Review on Point Interactions

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\(L^p\)-boundedness of wave operators for the three-dimensional multi-centre point interaction

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Quantum graphs as holonomic constraints

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Effective Schrödinger dynamics on ε-thin Dirichlet waveguides via quantum graphs: I. Star-shaped graphs

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Renormalization scenario for the quantum Yang-Mills theory in four-dimensional space-time

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Quantum Mechanics and Quantum Field Theory

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Multi-particle Schrödinger operators with point interactions in the plane

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Renormalized interaction of relativistic bosons with delta function potentials

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Self-intersection local times, occupation fields, and stochastic integrals

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A model with persistent vacuum

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On the number of bound states of point interactions on hyperbolic manifolds

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Nonrelativistic Lee model in three dimensional Riemannian manifolds

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Point interactions in two- and three-dimensional Riemannian manifolds

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An isoperimetric problem for point interactions

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Aharonov and Bohm versus Welsh eigenvalues

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Quantum waveguides

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Pseudo-orbit approach to trajectories of resonances in quantum graphs with general vertex coupling: Fermi rule and high-energy asymptotics

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Fifty Years of Mathematical Physics

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Mass in quantum Yang-Mills theory (comment on a Clay millenium problem).

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Mass in Quantum Yang-Mills Theory (Comment on a Clay Millennium Problem)

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A couple of methodological comments on the quantum Yang-Mills theory

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Scenario for the Renormalization in the 4D Yang–Mills Theory

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Local Casimir effect for a scalar field in presence of a point impurity

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Quadratic forms for the fermionic unitary gas model

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Lieb-Thirring inequality for a model of particles with point interactions

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Universal low-energy behavior in three-body systems

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Stability of the two-dimensional Fermi polaron

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Quantum mechanics of electrons in crystal lattices

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Existence of an isolated band in a system of three particles in an optical lattice

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Particle creation at a point source by means of interior-boundary conditions

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Intersection Local Times, Loop Soups and Permanental Wick Powers

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Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions

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On point interactions realised as Ter-Martirosyan-Skornyakov Hamiltonians

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Multiplicity of self-adjoint realisations of the \((2+1)\)-fermionic model of Ter-Martirosyan-Skornyakov type

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Stability of the (2+2)-fermionic system with zero-range interaction

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Stability of a fermionic \({N+ 1}\) particle system with point interactions

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Stability of the \(2+2\) fermionic system with point interactions

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Semigroup methods for evolution equations on networks

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Internal set theory: A new approach to nonstandard analysis

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A Krein-like formula for singular perturbations of self-adjoint operators and applications

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Spectral analysis on graph-like spaces

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Three fermions in a box at the unitary limit: universality in a lattice model

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The Efimov effect. Discrete spectrum asymptotics

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The Efimov effect of three-body Schrödinger operators

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Birman–Schwinger bounds for the Laplacian with point interactions

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The Interaction Between a Neutron and a Proton and the Structure of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

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On the finiteness of the discrete spectrum of Hamiltonians for quantum systems of three one- or two-dimensional particles

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

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zbMATH Open document ID

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zbMATH DE Number

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Mathematics(1 entry)

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