Ground States of Quantum Field Models : Perturbation of Embedded Eigenvalues / Fumio Hiroshima.

4.2.3 Spatial Localization and Pull-Through Formula4.2.4 Existence of the Ground State Without Cutoffs; 5 Spin-Boson Model; 5.1 Spin-Boson Hamiltonian; 5.2 Existence of the Ground State; 6 Enhanced Bindings; 6.1 Enhanced Binding for the Pauli-Fierz Model; 6.1.1 The Pauli-Fierz Hamiltonian with Dipole Approximation; 6.1.2 Absence of the Ground State for Small ; 6.1.3 Existence of the Ground State for Large ; 6.1.4 Transition From Unbinding to Binding; 6.1.5 Enhanced Binding by Cutoff Functions; 6.2 Enhanced Binding for the Nelson Model; 6.2.1 The N-Body Nelson Hamiltonian

Intro; Preface; Contents; Notations; 1 Introduction; 1.1 Quantum Field Theory and Ground States; 1.2 The Pauli-Fierz Model; 1.3 The Nelson Model; 1.4 Spin-Boson Model; 1.5 Infrared Problem; 1.6 Enhanced Binding; 1.6.1 Enhanced Binding for the Pauli-Fierz Hamiltonian; 1.6.2 Enhanced Binding for the Nelson Hamiltonian; 1.7 Compactness; 2 Preliminaries; 2.1 Compact Operators; 2.1.1 Compact Operators Basics; 2.1.2 Spectrum of Compact Operators; 2.1.3 Compact Operators on L2(X); 2.1.4 Carleman Operators; 2.2 Compact Embeddings; 2.2.1 Strong Compactness in Lp Spaces; 2.2.2 Sobolev Inequalities

6.2.2 Existence of the Ground StateReferences; ; Index