## 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