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Perturbation theory; Variational method; Sudden and adiabatic theory

Victor Galitski, Boris Karnakov, Vladimir Kogan, and Victor Galitski, Jr.

in Exploring Quantum Mechanics: A Collection of 700+ Solved Problems for Students, Lecturers, and Researchers

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199232710
eISBN:
9780191774973
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199232710.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter analyzes problems that deal with stationary perturbation theory (discrete spectrum); variational method; stationary perturbation theory (continuous spectrum); non-stationary perturbation ... More


THERMODYNAMIC PROPERTIES OF PURE FLUIDS

C.G. GRAY, K.E. GUBBINS, and C.G. JOSLIN

in Theory of Molecular Fluids: Volume 2: Applications

Published in print:
2011
Published Online:
January 2012
ISBN:
9780198556213
eISBN:
9780191729041
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198556213.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter gives an account of the statistical thermodynamics of pure fluids composed of non-spherical molecules. The early part of the chapter gives the derivation of equations for the various ... More


Scale Matters

Christopher Pincock

in Mathematics and Scientific Representation

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199757107
eISBN:
9780199932313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199757107.003.0005
Subject:
Philosophy, Philosophy of Science

This chapter considers the complicated interactions between mathematics and the scale of a scientific representation. Some aspects of scale echo the contributions found in chapters 3 and 4. Others ... More


THERMODYNAMIC PROPERTIES OF MIXTURES

C.G. GRAY, K.E. GUBBINS, and C.G. JOSLIN

in Theory of Molecular Fluids: Volume 2: Applications

Published in print:
2011
Published Online:
January 2012
ISBN:
9780198556213
eISBN:
9780191729041
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198556213.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter describes the statistical thermodynamics or mixtures of fluids of non-spherical molecules. A description of the qualitative phase behaviour observed for mixtures of varying degree of ... More


Applications of chiral perturbation theory to lattice QCD

Maarten Golterman

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The aim of this chapter is to provide a pedagogical introduction to the application of Chiral Perturbation Theory to Lattice QCD. Topics covered include a general introduction to Chiral Perturbation ... More


SURFACE PROPERTIES

C.G. GRAY, K.E. GUBBINS, and C.G. JOSLIN

in Theory of Molecular Fluids: Volume 2: Applications

Published in print:
2011
Published Online:
January 2012
ISBN:
9780198556213
eISBN:
9780191729041
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198556213.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

In this chapter the molecular theory of surface properties and of the properties of inhomogeneous fluids is described. Distribution functions and molecular order parameters that give the molecular ... More


Phase Transitions Near Two Dimensions

JEAN ZINN-JUSTIN

in Quantum Field Theory and Critical Phenomena

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198509233
eISBN:
9780191708732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509233.003.0031
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the generic O(N) non-linear σ-model. One property which plays an essential role is the UV asymptotic freedom of the σ-model in two dimensions. Some of its properties are ... More


Lattice field theory fundamentals

M. Pilar HernÁndez

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter reviews the basic building blocks of the regularization of Quantum Field Theories (QFT) on a space-time lattice. It assumes some familiarity with QFT in the continuum. In an introductory ... More


Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Laurent Lellouch, Rainer Sommer, Benjamin Svetitsky, Anastassios Vladikas, and Leticia F. Cugliandolo (eds)

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The book is based on the lectures delivered at the XCIII Session of the ´Ecole de Physique des Houches, held in August, 2009. The aim of the event was to familiarize the new generation of Ph.D. ... More


PECULIARITIES OF D = 1

Thierry Giamarchi

in Quantum Physics in One Dimension

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525004
eISBN:
9780191711909
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525004.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter provides an overview of the basic ideas of interacting electrons and the peculiarities of one dimension. Interactions among particles are what endows the one-dimensional world with its ... More


Atomic Forces

C. Julian Chen

in Introduction to Scanning Tunneling Microscopy: Second Edition

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199211500
eISBN:
9780191705991
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211500.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the physics and properties of four types of atomic forces occurring in STM and AFM: the van der Waals force, the hard core repulsion, the ionic bond, and the covalent bond. The ... More


Perturbation Theory of Intermolecular Forces at Short Range

Anthony J. Stone

in The Theory of Intermolecular Forces

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199672394
eISBN:
9780191751417
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199672394.003.0006
Subject:
Physics, Atomic, Laser, and Optical Physics

When molecules overlap, the approximation that we can ignore exchange of electrons between them is no longer valid. The difficulties that arise are explained here, and a brief account is given of ... More


Dynamics IX: Interacting fields: non-perturbative aspects

Anthony Duncan

in The Conceptual Framework of Quantum Field Theory

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199573264
eISBN:
9780191743313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573264.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter first explains the nature of the divergence in perturbation theory and then gives examples of different types of non-perturbative phenomena encountered in important field theories in the ... More


Atom—Field Interactions

Stephen C. Rand

in Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199574872
eISBN:
9780191722219
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199574872.003.0003
Subject:
Physics, Atomic, Laser, and Optical Physics

In Chapter 3 the interaction Hamiltonian which determines the way light interacts with matter is derived. Simple perturbative analysis is applied to see if basic dynamics of atoms can be explained. ... More


REGULARIZATION OF FIELD THEORY AND CHIRAL ANOMALIES

Kazuo Fujikawa and Hiroshi Suzuki

in Path Integrals and Quantum Anomalies

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter illustrates the regularization of field theory by taking quantum electrodynamics (QED) as an example, showing that the mass of the photon remains at 0 even after higher-order quantum ... More


Perturbation Theory

Stephan P. A. Sauer

in Molecular Electromagnetism: A Computational Chemistry Approach

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199575398
eISBN:
9780191775109
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575398.003.0003
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter derives the quantum mechanical tools for treating the interaction of molecules with static and dynamic fields, i.e., perturbation theory. The first part is concerned with static fields ... More


Abelian Gauge Theories

JEAN ZINN-JUSTIN

in Quantum Field Theory and Critical Phenomena

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198509233
eISBN:
9780191708732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509233.003.0018
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter focuses on abelian gauge theory, whose physical realization is Quantum Electrodynamics (QED). The chapter is organized as follows. It begins with elementary considerations about the ... More


Molecular Electromagnetism: A Computational Chemistry Approach

Stephan P. A. Sauer

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199575398
eISBN:
9780191775109
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575398.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

This book is concerned with molecular electromagnetic properties and the interaction of molecules with static electric and magnetic fields as well as with the time-dependent fields of electromagnetic ... More


Lattice QCD at non-zero temperature and baryon density

Owe Philipsen

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter gives an introduction to lattice QCD at finite temperature and baryon density. After a discussion of some fundamental aspects and difficulties of quantum field theory at finite ... More


Non-Abelian Gauge Theories: Introduction

JEAN ZINN-JUSTIN

in Quantum Field Theory and Critical Phenomena

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198509233
eISBN:
9780191708732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509233.003.0019
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter constructs a field theory invariant under local, that is, space-dependent, transformations of a general compact Lie group G. Inspired by the abelian example of Chapter 18, it introduces ... More


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