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Wave Mechanics

P.J.E. Peebles

in Quantum Mechanics

Published in print:
2019
Published Online:
May 2021
ISBN:
9780691209821
eISBN:
9780691206738
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691209821.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter develops the wave mechanics formalism. The emphasis here is on symmetries and conservation laws: parity, linear and angular momentum, and the electromagnetic interaction. The only ... More


The Theory of the Universal Wave Function

Jeffrey Alan Barrett

in The Quantum Mechanics of Minds and Worlds

Published in print:
2001
Published Online:
March 2012
ISBN:
9780199247431
eISBN:
9780191697661
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199247431.003.0003
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

This chapter provides a detailed explanation of Everett's three works — his thesis “On the Foundations of Quantum Mechanics”, a short paper entitled “‘Relative State’ Formulation of Quantum ... More


Abstract Linear Space of State Vectors

P.J.E. Peebles

in Quantum Mechanics

Published in print:
2019
Published Online:
May 2021
ISBN:
9780691209821
eISBN:
9780691206738
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691209821.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses abstract linear space of state vectors. The wave mechanics presented in the previous chapter is easily generalized for use in all the applications of quantum mechanics ... More


Quantum Mechanics

P.J.E. Peebles

Published in print:
2019
Published Online:
May 2021
ISBN:
9780691209821
eISBN:
9780691206738
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691209821.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This book explains the often counterintuitive physics of quantum mechanics, unlocking this key area of physics for students by enabling them to work through detailed applications of general concepts ... More


Some Mechanics and Mathematics

David Hodgson

in The Mind Matters: Consciousness and Choice in a Quantum World

Published in print:
1993
Published Online:
October 2011
ISBN:
9780198240686
eISBN:
9780191680236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198240686.003.0011
Subject:
Philosophy, Philosophy of Mind, Metaphysics/Epistemology

In order to prepare for consideration of some basic mathematics of quantum physics, this chapter considers some basic mathematics of classical mechanics and mathematical ideas used in quantum ... More


The Determinate-Experience Problem

Jeffrey Alan Barrett

in The Quantum Mechanics of Minds and Worlds

Published in print:
2001
Published Online:
March 2012
ISBN:
9780199247431
eISBN:
9780191697661
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199247431.003.0009
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

This chapter begins by discussing the problems encountered in interpreting Everett's assumption of the same appearances in pure wave mechanics as predicted by the standard collapse theory. The ... More


The Shock of the New

Dean Rickles

in Covered with Deep Mist: The Development of Quantum Gravity (1916-1956)

Published in print:
2020
Published Online:
April 2020
ISBN:
9780199602957
eISBN:
9780191844393
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199602957.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In this chapter, we show how the newest developments in quantum mechanics of the late 1920s were very quickly compared with general relativity, with attempts made to demonstrate their mutual ... More


THE QUANTUM RULES

C. N. Hinshelwood

in The Structure of Physical Chemistry

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198570257
eISBN:
9780191717659
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570257.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the rules governing the energy content of substances. Topics covered include specific heat, radiation and quantum laws, the problem of rotational energy states, translational ... More


The personal crisis

Charles P. Enz

in No Time to be Brief: A scientific biography of Wolfgang Pauli

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198564799
eISBN:
9780191713835
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198564799.003.0007
Subject:
Physics, History of Physics

This chapter begins with a discussion of Pauli’s associations with Carl Jung. It then details his Handbuch Article on ‘The General Principles of Wave Mechanics’, which became a classic.


Pure Wave 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/9780198844686.003.0009
Subject:
Philosophy, Philosophy of Science

Everett thought of the quantum measurement problem as one of providing a consistent description of nested measurement. He proposed solving the measurement problem by simply supposing that all ... More


Phenomena and Theory

Peter J. Lewis

in Quantum Ontology: A Guide to the Metaphysics of Quantum Mechanics

Published in print:
2016
Published Online:
August 2016
ISBN:
9780190469825
eISBN:
9780190469849
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780190469825.003.0001
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

The distinctively quantum mechanical phenomena of interference and entanglement are explained. The theory of quantum mechanics that accounts for these phenomena is presented in its two forms: matrix ... More


On the Quantum Footpath

David D. Nolte

in Galileo Unbound: A Path Across Life, the Universe and Everything

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198805847
eISBN:
9780191843808
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805847.003.0008
Subject:
Physics, History of Physics

This chapter shows how the concept of the trajectory of a quantum particle almost vanished in the battle between Werner Heisenberg’s matrix mechanics and Erwin Schrödinger’s wave mechanics. It took ... More


The Conceptual Foundations of Quantum Mechanics

Jeffrey A. Barrett

Published in print:
2019
Published Online:
July 2020
ISBN:
9780198844686
eISBN:
9780191889196
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198844686.001.0001
Subject:
Philosophy, Philosophy of Science

The book starts with a description of classical mechanics then discusses the quantum phenomena that require us to give up our commonsense classical intuitions. We consider the physical and conceptual ... More


Introductory Considerations

John von Neumann

Nicholas A. Wheeler (ed.)

in Mathematical Foundations of Quantum Mechanics: New Edition

Published in print:
2018
Published Online:
September 2018
ISBN:
9780691178561
eISBN:
9781400889921
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691178561.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents the origins of the transformation theory and related concepts. It shows how, in 1925, a procedure initiated by Werner Heisenberg was developed by himself, Max Born, Pascual ... More


Radiation in Classical and Quantal Atoms

Weiner John and Frederico Nunes

in Light-Matter Interaction: Physics and Engineering at the Nanoscale

Published in print:
2012
Published Online:
December 2013
ISBN:
9780198567653
eISBN:
9780191775147
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567653.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter begins with a discussion of radiation by a microscopic classical oscillator with radiative damping. It then turns to the Schrödinger equation for the hydrogen atom, and an extended ... More


Imaginary time

George Jaroszkiewicz

in Images of Time: Mind, Science, Reality

Published in print:
2016
Published Online:
January 2016
ISBN:
9780198718062
eISBN:
9780191787553
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198718062.003.0021
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses the role of imaginary time in physics. It emphasizes the difference between imaginary (or complex path) time and complex time. Starting with Minkowski’s famous 1908 lecture, ... More


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