## Analytical Mechanics for Relativity and Quantum Mechanics

*Oliver Johns*

- Published in print:
- 2005
- Published Online:
- January 2010
- ISBN:
- 9780198567264
- eISBN:
- 9780191717987
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567264.001.0001
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This book provides an innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. A ... More

## Knowing: The Nature of Physical Law

*Michael Munowitz*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780195167375
- eISBN:
- 9780199787104
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195167375.001.0001
- Subject:
- Physics, History of Physics

This book interprets the book of nature for curious readers of all sorts, but especially for those looking to appreciate the power and beauty of physics without having to grapple with the ... More

## Intertheoretic Relations—Mechanics

*Robert W. Batterman*

### in The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction, and Emergence

- Published in print:
- 2001
- Published Online:
- November 2003
- ISBN:
- 9780195146479
- eISBN:
- 9780199833078
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195146476.003.0007
- Subject:
- Philosophy, Philosophy of Science

This chapter discusses limiting correspondence relations between quantum mechanics and classical mechanics. The semiclassical limit is singular and no reductive relation obtains between these two ... More

## Hamilton–Jacobi Theory

*Oliver Johns*

### in Analytical Mechanics for Relativity and Quantum Mechanics

- Published in print:
- 2005
- Published Online:
- January 2010
- ISBN:
- 9780198567264
- eISBN:
- 9780191717987
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567264.003.0019
- Subject:
- Physics, Atomic, Laser, and Optical Physics

The Hamilton-Jacobi theory is the apotheosis of Lagrangian and Hamiltonian mechanics: action functions encode all of the possible trajectories of a mechanical system satisfying certain criteria. ... More

## Three-Part Invention

*Michael Munowitz*

### in Knowing: The Nature of Physical Law

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780195167375
- eISBN:
- 9780199787104
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195167375.003.0004
- Subject:
- Physics, History of Physics

The Moon — caught in an exact balance of attractive and repulsive forces — orbits the Earth with flawless regularity, never faltering. A ball rolls predictably down a slope of a certain grade, always ... More

## PATH INTEGRALS IN PHASE SPACE

*Jean Zinn-Justin*

### in Path Integrals in Quantum Mechanics

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198566748
- eISBN:
- 9780191717994
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566748.003.0010
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter contains a few additional results such as a definition of path integrals over phase space trajectories, and the problems generated by the quantization of lagrangians with potentials ... More

## Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory

*Alfonso Sorrentino*

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691164502
- eISBN:
- 9781400866618
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691164502.001.0001
- Subject:
- Mathematics, Applied Mathematics

John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical ... More

## Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)

*Vadim Kaloshin and Ke Zhang*

- Published in print:
- 2020
- Published Online:
- May 2021
- ISBN:
- 9780691202525
- eISBN:
- 9780691204932
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691202525.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Arnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was ... More

## Classical Mechanics

*Jeffrey A. Barrett*

### in The Conceptual Foundations of Quantum Mechanics

- Published in print:
- 2019
- Published Online:
- July 2020
- ISBN:
- 9780198844686
- eISBN:
- 9780191889196
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198844686.003.0001
- Subject:
- Philosophy, Philosophy of Science

While quantum mechanics is one of the most successful physical theories we have ever had, it is deeply counterintuitive. It must be given the empirical evidence it explains. We consider some of the ... More

## The problem of polyatomic molecules

*CARLO CERCIGNANI*

### in Ludwig Boltzmann: The Man Who Trusted Atoms

- Published in print:
- 2006
- Published Online:
- January 2010
- ISBN:
- 9780198570646
- eISBN:
- 9780191717949
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198570646.003.0008
- Subject:
- Physics, History of Physics

Polyatomic molecules created difficulties in kinetic theory from the start, with the problem of thermal capacities or specific heats. If the problem of specific heats was initially solved with the ... More

## Analytical Mechanics for Relativity and Quantum Mechanics

*Oliver Johns*

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780191001628
- eISBN:
- 9780191775161
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780191001628.001.0001
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This book provides an innovative and mathematically sound treatment of the foundations of analytical mechanics, and of the relation of classical mechanics to relativity and quantum theory. A ... More

## Theories in History and Practice

*Steven French*

### in There Are No Such Things As Theories

- Published in print:
- 2020
- Published Online:
- April 2020
- ISBN:
- 9780198848158
- eISBN:
- 9780191882715
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198848158.003.0008
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This eliminativist view must immediately face the concern that scientists themselves appear to be committed to the existence of theories. They talk about them, apparently refer to them, argue that ... More

## What is this Book About?

*M. Suhail Zubairy*

### in Quantum Mechanics for Beginners: with applications to quantum communication and quantum computing

- Published in print:
- 2020
- Published Online:
- June 2020
- ISBN:
- 9780198854227
- eISBN:
- 9780191888649
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198854227.003.0001
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter begins with a brief history of how classical mechanics evolved into quantum mechanics. Next a bird’s-eye view of the basic aspects of quantum mechanics and its applications is given. In ... More

## Classical Mechanics

*Jill North*

### in Physics, Structure, and Reality

- Published in print:
- 2021
- Published Online:
- June 2021
- ISBN:
- 9780192894106
- eISBN:
- 9780191915239
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780192894106.003.0004
- Subject:
- Philosophy, Philosophy of Science, Metaphysics/Epistemology

This chapter applies our reasoning about structure in physics to two formulations of classical mechanics, Lagrangian and Newtonian mechanics, that are generally taken to be completely equivalent. It ... More

## Lagrangian and Hamiltonian Dynamics

*Peter Mann*

- Published in print:
- 2018
- Published Online:
- August 2018
- ISBN:
- 9780198822370
- eISBN:
- 9780191861253
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198822370.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This book explores the fascinating subject of classical mechanics, which is the pinnacle of nineteenth-century physics, from a fresh and exciting viewpoint. With its foundations laid down in ancient ... More

## Classical Mechanics According to Newton and Hamilton

*Jochen Autschbach*

### in Quantum Theory for Chemical Applications: From Basic Concepts to Advanced Topics

- Published in print:
- 2020
- Published Online:
- February 2021
- ISBN:
- 9780190920807
- eISBN:
- 9780197508350
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780190920807.003.0002
- Subject:
- Chemistry, Quantum and Theoretical Chemistry

This chapter introduces classical mechanics, starting with the familiar definitions of position, momentum, velocity, acceleration force, kinetic, potential, and total energy. It is shown how the ... More

## Newton, Laplace, and Determinism

*David P. Feldman*

### in Chaos and Fractals: An Elementary Introduction

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199566433
- eISBN:
- 9780191774966
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199566433.003.0009
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses a few of the central, but sometimes unspoken, scientific ideas or assumptions about the world. It first looks at the character of Newtonian physics and classical mechanics by ... More

## The Classical Connection

*John A. Adam*

### in Rays, Waves, and Scattering: Topics in Classical Mathematical Physics

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691148373
- eISBN:
- 9781400885404
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691148373.003.0015
- Subject:
- Mathematics, Applied Mathematics

This chapter discusses the relationship between the elegance of the classical Lagrangian and Hamiltonian formulations of mechanics and optics. In physics, action is a mathematical functional which ... More

## Classical Covariance

*Moataz H. Emam*

### in Covariant Physics: From Classical Mechanics to General Relativity and Beyond

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198864899
- eISBN:
- 9780191897313
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198864899.003.0003
- Subject:
- Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

Classical mechanics, from point particles through rigid objects and continuum mechanics is reviewed based on the notions of tensors, transformations, and the metric, as developed in the first two ... More

## Introduction

*Robert H. Swendsen*

### in An Introduction to Statistical Mechanics and Thermodynamics

- Published in print:
- 2019
- Published Online:
- February 2020
- ISBN:
- 9780198853237
- eISBN:
- 9780191887703
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198853237.003.0001
- Subject:
- Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

The introduction gives the plan of the book and guides the reader to the main points. The book is divided into four parts: Part I provides a complete derivation of the entropy of the ideal gas, a ... More