Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

Ground States of Quantum Field Models

Part of the SpringerBriefs in Mathematical Physics Book Series (volume 35)

DOI: 10.1007/978-981-32-9305-2

ISBN: 978-981-32-9304-5

Publisher: Springer Singapore - Springer Journals

Aug 17, 2019

LitStream

Chapter 1Introduction

Hiroshima, Fumio

Pages: 1 –14

[Quantum field theory was originally thought to be the quantum theory of classical fields. Nowadays it turns out to be a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. It is used to construct physical models of subatomic particles in...
LitStream

Chapter 2Preliminaries

Hiroshima, Fumio

Pages: 15 –40

[In this chapter we introduce fundamental tools used throughout this book. Compact operators on Banach spaces and compact embeddings of Sobolev spaces of the form \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}...
LitStream

Chapter 3The Pauli–Fierz Model

Hiroshima, Fumio

Pages: 41 –74

[In this chapter the Pauli–Fierz modelPauli–Fierz model in non-relativistic quantum electrodynamics is studied. This model describes the minimal interaction between quantum matters (electrons) and a massless quantized radiation field (photons). The existence of the ground state of the Pauli–Fierz...
LitStream

Chapter 4The Nelson Model

Hiroshima, Fumio

Pages: 75 –102

[In this chapter the Nelson modelNelson model is studied, which was investigated by Nelson [49] who succeeded in renormalizing an ultraviolet cutoff function and defining Hamiltonian without cutoffs. This model describes an interaction between non-relativistic spinless nucleons and a scalar meson...
LitStream

Chapter 5Spin-Boson Model

Hiroshima, Fumio

Pages: 103 –107

[In this chapter a spin-boson modelSpin-boson model is studied by path measures. This model describes a two-level atom interacting with a scalar quantum field. The existence of the ground state of the spin-boson model is proven.]
LitStream

Chapter 6Enhanced Bindings

Hiroshima, Fumio

Pages: 109 –129

[In this chapter we discuss enhanced bindings for the Pauli–Fierz Hamiltonian with dipole approximation and for the N-body Nelson Hamiltonian. It is shown that an interaction with a quantum field enhances binding and sufficiently strong couplings consequently produce the ground state. It is also...

results per page

Prev
1
Next

Browse All eBooks