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The Standard Formulation Of Quantum Mechanics

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/9780199247431.003.0002
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

This chapter begins by discussing the foundations of Hugh Everett III's relative state theory, which he regards as a new, more general, and complete theory than the standard von Neumann–Dirac theory. ... More


Symmetries IV: Local symmetries in field theory

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/9780199573264.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter examines the additional rich structure introduced when a local quantum field theory displays a local gauge symmetry. It shows how such symmetries require a generalization of the ... More


Dirac Theory of the Electron

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/9780691209821.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter explores applications drawn from Dirac theory of the electron. In the treatment of electrons, it uses the following: an electron has spin 1/2; its magnetic dipole moment is very nearly ... More


Elementary relativistic quantum mechanics

Efstratios Manousakis

in Practical Quantum Mechanics: Modern Tools and Applications

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198749349
eISBN:
9780191813474
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198749349.003.0031
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter is seeking relativistic wave equations, which are invariant under Lorentz transformations, in an attempt to obtain a quantum mechanical description of relativistic particles. First, the ... More


Density-Functional Theory

Jürgen Kübler

in Theory of Itinerant Electron Magnetism, 2nd Edition

Published in print:
2021
Published Online:
October 2021
ISBN:
9780192895639
eISBN:
9780191915833
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895639.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The atomic and electronic degrees of freedom for a crystalline solid are separated using the Born–Oppenheimer approximation. The Hartree–Fock approximation is then applied to the electronic problem, ... More


Liouville’s Theorem & Classical Statistical Mechanics

Peter Mann

in Lagrangian and Hamiltonian Dynamics

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198822370
eISBN:
9780191861253
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198822370.003.0020
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter returns to the discussion of constrained Hamiltonian dynamics, now in the canonical setting, including topics such as regular Lagrangians, constraint surfaces, Hessian conditions and the ... More


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