Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for stretched states

Mikhail Lemeshko, Mustafa Mustafa, Sabre Kais, Bretislav Friedrich

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11 Citations (Scopus)


By invoking supersymmetry, we found a condition under which the Stark-effect problem for a polar and polarizable molecule subject to nonresonant electric fields becomes exactly solvable for the family of stretched states. The analytic expressions for the wave function and eigenenergy and other expectation values allow one to readily reverse-engineer the problem of finding the values of the interaction parameters required for creating quantum states with preordained characteristics. The method also allows the construction of families of isospectral potentials, realizable with combined fields.

Original languageEnglish
Article number043415
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number4
Publication statusPublished - 25 Apr 2011
Externally publishedYes


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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