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Probability and Quantum Theory

E. Brian Davies

in Science in the Looking Glass: What Do Scientists Really Know?

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199219186
eISBN:
9780191711695
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199219186.003.0007
Subject:
Physics, History of Physics

This chapter discusses a series of examples which illustrate various peculiarities of probability theory. It shows that there are many situations in which two people may legitimately ascribe ... More


The Path Not Taken

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/9780195167375.003.0008
Subject:
Physics, History of Physics

The quantum mechanical superposition state — the wave function — takes shape, and the rules for its deterministic evolution and probabilistic interpretation are developed. A clockwork macrocosm in ... More


Atoms, Mechanics, and Probability: Ludwig Boltzmann's Statistico-Mechanical Writings - An Exegesis

Olivier Darrigol

Published in print:
2018
Published Online:
March 2018
ISBN:
9780198816171
eISBN:
9780191853661
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198816171.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics, History of Physics

One of the pillars of modern science, statistical mechanics, owes much to one man, the Austrian physicist Ludwig Boltzmann (1844–1906). As a result of his unusual working and writing styles, his ... More


Time irreversibility and the H-theorem

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/9780198570646.003.0005
Subject:
Physics, History of Physics

Ludwig Boltzmann not only showed that his Boltzmann equation, which captures the essence of the second law of thermodynamics in mathematical form, admits James Clerk Maxwell's distribution as an ... More


Boltzmann’s relation and the statistical interpretation of entropy

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/9780198570646.003.0006
Subject:
Physics, History of Physics

Ludwig Boltzmann first used probabilistic arguments in his answer to Johann Loschmidt's objection to his Boltzmann equation and his assumptions about entropy in the H-theorem. Up to that moment, ... More


Introduction

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/9780198570646.003.0013
Subject:
Physics, History of Physics

All the fundamental laws of physics are symmetric with respect to the inversion of the time arrow; the cup which reunites itself from the broken pieces, recovers the coffee from the floor and jumps ... More


Energy and Entropy

Manfred Eigen

in From Strange Simplicity to Complex Familiarity: A Treatise on Matter, Information, Life and Thought

Published in print:
2013
Published Online:
May 2013
ISBN:
9780198570219
eISBN:
9780191748974
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570219.003.0002
Subject:
Physics, History of Physics

Sensorily perceptible material structures are made up of many atoms or molecules which, at the temperatures of our biosphere, are in wild – free or oscillatory – motion. “Wild” means that velocities ... More


The Probabilistic Turn (1876–1884)

Olivier Darrigol

in Atoms, Mechanics, and Probability: Ludwig Boltzmann's Statistico-Mechanical Writings - An Exegesis

Published in print:
2018
Published Online:
March 2018
ISBN:
9780198816171
eISBN:
9780191853661
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198816171.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics, History of Physics

This chapter deals with writings in which Boltzmann expressed the statistical nature of the entropy law and temporarily made the relation between entropy and combinatorial probability a basic ... More


Boltzmann’s Theory

Olivier Darrigol

in Atoms, Mechanics, and Probability: Ludwig Boltzmann's Statistico-Mechanical Writings - An Exegesis

Published in print:
2018
Published Online:
March 2018
ISBN:
9780198816171
eISBN:
9780191853661
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198816171.003.0010
Subject:
Physics, Atomic, Laser, and Optical Physics, History of Physics

In this last chapter, the reader will find synthetic reflections on Boltzmann’s sources, on the basic components of his theory, and on the ways it was received. The basic components are arranged ... More


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