Enhanced Binding in non-relativistic QED

Abstract

We consider a spinless particle coupled to a photon field and prove that even if the Schrödinger operator $p^2+V$ does not have eigenvalues the system can have a ground state. We describe the coupling by means of the Pauli-Fierz Hamiltonian and our result holds in the case where the coupling constant $\alpha$ is small.

simplified version

Cited by in corpus (17)

• Enhanced binding revisited for a spinless particle in non-relativistic QED
• The increase of Binding Energy and Enhanced Binding in Non-Relativistic QED
• Quantitative estimates on the Hydrogen ground state energy in non-relativistic QED
• Localization of the number of photons of ground states in nonrelativistic QED
• On enhanced binding and related effects in the non- and semi-relativistic Pauli-Fierz models
• The No-Binding Regime of the Pauli-Fierz Model
• Mass Renormalization in Non-relativistic Quantum Electrodynamics with Spin 1/2
• Mass Renormalization and Energy Level Shift in Non-Relativistic QED
• Quantitative estimates on the enhanced binding for the Pauli-Fierz operator
• The Renormalized Electron Mass in Non-Relativistic Quantum Electrodynamics
• Binding threshold for the Pauli-Fierz operator
• Infrared renormalization in non-relativistic QED and scaling criticality
• Non-analyticity of the groud state energy of the Hamiltonian for Hydrogen atom in non-relativistic QED
• Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic QED. II. The spin case
• Binding energy for hydrogen-like atoms in the Nelson model without cutoffs
• Differential Equations of Quantum Mechanics
• On the ground state energy of the translation invariant Pauli-Fierz model