Repository: Freie Universit├Ąt Berlin, Math Department

Supersymmetry and eigensurface topology of the planar quantum pendulum

Schmidt, B. and Friedrich, B. (2014) Supersymmetry and eigensurface topology of the planar quantum pendulum. Front. Physics, 2 . p. 37.

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Official URL: http://dx.doi.org/10.3389/fphy.2014.00037

Abstract

We make use of supersymmetric quantum mechanics (SUSY QM) to find three sets of conditions under which the problem of a planar quantum pendulum becomes analytically solvable. The analytic forms of the pendulum's eigenfuntions make it possible to find analytic expressions for observables of interest, such as the expectation values of the angular momentum squared and of the orientation and alignment cosines as well as of the eigenenergy. Furthermore, we find that the topology of the intersections of the pendulum's eigenenergy surfaces can be characterized by a single integer index whose values correspond to the sets of conditions under which the analytic solutions to the quantum pendulum problem exist.

Item Type:Article
Subjects:Physical Sciences > Physics > Chemical Physics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > BioComputing Group
ID Code:1408
Deposited By: BioComp Admin
Deposited On:04 Apr 2014 12:01
Last Modified:12 Jun 2014 06:15

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