Schatz, K. and Friedrich, B. and Becker, S. and Schmidt, B.
(2018)
*Symmetric Tops Subject to Combined Electric Fields: Conditional Quasi-Solvability via the Quantum Hamilton-Jacobi Theory.*
Phys. Rev. A, 97
(5).
053417.

Full text not available from this repository.

Official URL: https://dx.doi.org/10.1103/PhysRevA.97.053417

## Abstract

We make use of the Quantum Hamilton-Jacobi (QHJ) theory to investigate conditional quasi-solvability of the quantum symmetric top subject to combined electric fields (symmetric top pendulum). We derive the conditions of quasi-solvability of the time-independent Schrödinger equation as well as the corresponding finite sets of exact analytic solutions. We do so for this prototypical trigonometric system as well as for its anti-isospectral hyperbolic counterpart. An examination of the algebraic and numerical spectra of these two systems reveals mutually closely related patterns. The QHJ approach allows to retrieve the closed-form solutions for the spherical and planar pendula and the Razavy system that had been obtained in our earlier work via Supersymmetric Quantum Mechanics as well as to find a cornucopia of additional exact analytic solutions.

Item Type: | Article |
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Subjects: | Physical Sciences > Physics > Mathematical & Theoretical Physics Physical Sciences > Physics > Mathematical & Theoretical Physics > Quantum Mechanics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics > BioComputing Group Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group |

ID Code: | 2228 |

Deposited By: | BioComp Admin |

Deposited On: | 22 Feb 2018 08:43 |

Last Modified: | 31 May 2018 14:55 |

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