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

Full text not available from this repository.

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 |
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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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