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Path Integrals in Quantum Mechanics

Jean Zinn-Justin

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198566748
eISBN:
9780191717994
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566748.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Path integrals are mathematical objects that can be considered as generalizations to an infinite number of variables, represented by paths, of usual integrals. They share the algebraic properties of ... More


BARRIER PENETRATION: SEMI-CLASSICAL APPROXIMATION

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/9780198566748.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

A classical particle is always reflected by a potential barrier if its energy is lower than the potential. In contrast, a quantum particle has a non-vanishing probability to tunnel through a barrier, ... More


Quantum Tunneling

Frank S. Levin

in Surfing the Quantum World

Published in print:
2017
Published Online:
November 2017
ISBN:
9780198808275
eISBN:
9780191846014
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198808275.003.0014
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Quantum tunneling, wherein a quanject has a non-zero probability of tunneling into and then exiting a barrier of finite width and height, is the subject of Chapter 13. The description for the ... More


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