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Generalized zeta-functions and susy QM

Generalized zeta-functions and susy QM We consider generalized zeta-functions to study in detail a semiclassical description of different phenomena (tunneling or radiative corrections) in quantum physics. The eigenfunctions as well as the energy eigenvalues associated with the so-called stability equation can be written in closed form due to the shape-invariance property of the one-dimensional supersymmetric quantum mechanics. To illustrate this technique in a relevant context we resort to the kink of the double-well potential. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Physica Hungarica Series A, Heavy Ion Physics Springer Journals

Generalized zeta-functions and susy QM

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References (3)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Akadémiai Kiadó
Subject
Physics; Nuclear Physics, Heavy Ions, Hadrons
ISSN
1219-7580
eISSN
1588-2675
DOI
10.1556/APH.19.2004.3-4.4
Publisher site
See Article on Publisher Site

Abstract

We consider generalized zeta-functions to study in detail a semiclassical description of different phenomena (tunneling or radiative corrections) in quantum physics. The eigenfunctions as well as the energy eigenvalues associated with the so-called stability equation can be written in closed form due to the shape-invariance property of the one-dimensional supersymmetric quantum mechanics. To illustrate this technique in a relevant context we resort to the kink of the double-well potential.

Journal

Acta Physica Hungarica Series A, Heavy Ion PhysicsSpringer Journals

Published: Dec 12, 2009

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