We strongly condemn Russia's aggressive attack on Ukraine for which there is no rational justification. We stand firmly with the Ukrainian people.
Konrad Schatz, Bretislav Friedrich, Simon Becker, Burkhard Schmidt
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.
Phys. Rev. A 97 (5), 053417 (2018)
DOI:10.1103/PhysRevA.97.053417