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


Author(s): Lemeshko, Mikhail P; Mustafa, Mustafa K; Kais, Sabre; Friedrich, Břetislav
Article Title: Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for "stretched" states
Affiliation
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.
Keywords: Analytic expressions; Eigenenergies; Exact solution; Expectation values; Interaction parameters; Nonresonant; Polarizable molecules; Quantum state; Supersymmetries
Journal Title: Physical Review A - Atomic, Molecular, and Optical Physics
Volume: 83
Issue 4
ISSN: 1094-1622
Publisher: American Physical Society  
Date Published: 2011-04-25
Start Page: Article number: 043415
Sponsor: ARO
URL:
DOI: 10.1103/PhysRevA.83.043415
Open access: yes (repository)
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