Repository: Freie Universität Berlin, Math Department

Supersymmetry and eigensurface topology of the spherical quantum pendulum

Schmidt, B. and Friedrich, B. (2015) Supersymmetry and eigensurface topology of the spherical quantum pendulum. Phys. Rev. A, 91 (02). 022111.

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We undertook a mutually complementary analytic and computational study of the full-fledged spherical (3D) quantum rotor subject to combined orienting and aligning interactions characterized, respectively, by dimensionless parameters η and ζ. By making use of supersymmetric quantum mechanics (SUSY QM), we found two sets of conditions under which the problem of a spherical quantum pendulum becomes analytically solvable. These conditions coincide with the loci ζ = η2 / (4k^2) of the intersections of the eigenenergy surfaces spanned by the η and ζ parameters. The integer topological index k is independent of the eigenstate and thus of the projection quantum number m. These findings have repercussions for rotational spectra and dynamics of molecules subject to combined permanent and induced dipole interactions.

Item Type:Article
Subjects:Physical Sciences > Physics > Mathematical & Theoretical Physics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > BioComputing Group
ID Code:1452
Deposited By: BioComp Admin
Deposited On:05 Sep 2014 15:37
Last Modified:17 Mar 2016 15:00

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