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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


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


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


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


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


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