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

Mikhail Lemeshko, Mustafa Mustafa, Sabre Kais, Bretislav Friedrich

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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
Volume83
Issue number4
DOIs
Publication statusPublished - 25 Apr 2011
Externally publishedYes

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Stark effect
factorization
engineers
supersymmetry
wave functions
electric fields
molecules
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for stretched states. / Lemeshko, Mikhail; Mustafa, Mustafa; Kais, Sabre; Friedrich, Bretislav.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 83, No. 4, 043415, 25.04.2011.

Research output: Contribution to journalArticle

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