A nonrelativistic quantum field theory with point interactions in three dimensions

DOI10.1007/s00023-019-00843-xzbMath1429.81046arXiv1804.08295OpenAlexW3104510168WikidataQ127231312 ScholiaQ127231312MaRDI QIDQ2330442

Jonas Lampart

Publication date: 22 October 2019

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08295

Mathematics Subject Classification ID

Model quantum field theories (81T10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Bosonic systems in quantum theory (81V73)

Related Items (10)

Interior-boundary conditions for the Dirac equation at point sources in three dimensions ⋮ Interior-boundary conditions for Schrödinger operators on codimension-1 boundaries ⋮ The resolvent of the Nelson Hamiltonian improves positivity ⋮ Hamiltonians for polaron models with subcritical ultraviolet singularities ⋮ Multi-time formulation of particle creation and annihilation via interior-boundary conditions ⋮ Bohmian trajectories for Hamiltonians with interior-boundary conditions ⋮ On the self-adjointness of \(H+A^*+A\) ⋮ The renormalized Bogoliubov–Fröhlich Hamiltonian ⋮ On Nelson-type Hamiltonians and abstract boundary conditions ⋮ On a direct description of pseudorelativistic Nelson Hamiltonians

Cites Work

• Unnamed Item
• A class of Hamiltonians for a three-particle fermionic system at unitarity
• Elliptic differential operators on Lipschitz domains and abstract boundary value problems
• Particle creation at a point source by means of interior-boundary conditions
• Stability of the \(2+2\) fermionic system with point interactions
• On Nelson-type Hamiltonians and abstract boundary conditions
• Stability of a fermionic \({N+ 1}\) particle system with point interactions
• On the existence of a local Hamiltonian in the Galilean invariant Lee Model
• Galilean quantum field theories and a ghostless Lee model
• A model with persistent vacuum
• Avoiding Ultraviolet Divergence by Means of Interior–Boundary Conditions
• STABILITY FOR A SYSTEM OF N FERMIONS PLUS A DIFFERENT PARTICLE WITH ZERO-RANGE INTERACTIONS
• On a zero-range interaction of a quantum particle with the vacuum
• On the domain of the Nelson Hamiltonian
• The renormalized Bogoliubov–Fröhlich Hamiltonian
• On a direct description of pseudorelativistic Nelson Hamiltonians
• Boundary Conditions and Time-Dependent States
• Quantum Mechanics in Fock Space
• Boundary Conditions for the Description of Nuclear Reactions

This page was built for publication: A nonrelativistic quantum field theory with point interactions in three dimensions