English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  DetailsSummary

Released
Journal Article

Symmetric tops in combined electric fields: Conditional quasisolvability via the quantum Hamilton-Jacobi theory

MPS-Authors
/persons/resource/persons217229

Schatz,  Konrad
Molecular Physics, Fritz Haber Institute, Max Planck Society;

/persons/resource/persons21529

Friedrich,  Bretislav
Molecular Physics, Fritz Haber Institute, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Schatz, K., Friedrich, B., Becker, S., & Schmidt, B. (2018). Symmetric tops in combined electric fields: Conditional quasisolvability via the quantum Hamilton-Jacobi theory. Physical Review A, 97(5): 053417. doi:10.1103/PhysRevA.97.053417.


Cite as: https://hdl.handle.net/21.11116/0000-0001-6D1C-7
Abstract
We make use of the quantum Hamilton-Jacobi (QHJ) theory to investigate conditional quasisolvability of the quantum symmetric top subject to combined electric fields (symmetric top pendulum). We derive the conditions of quasisolvability 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 us 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.