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

M. Lemeshko, M. Mustafa, S. Kais, B. Friedrich, Physical Review A - Atomic, Molecular, and Optical Physics 83 (2011).


Journal Article | Published
Author
Lemeshko, MikhailIST Austria ; Mustafa, Mustafa K; Kais, Sabre; Friedrich, Břetislav
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.
Publishing Year
Date Published
2011-04-25
Journal Title
Physical Review A - Atomic, Molecular, and Optical Physics
Acknowledgement
ARO
Volume
83
Issue
4
IST-REx-ID

Cite this

Lemeshko M, Mustafa M, Kais S, Friedrich B. Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for "stretched" states. Physical Review A - Atomic, Molecular, and Optical Physics. 2011;83(4). doi:10.1103/PhysRevA.83.043415
Lemeshko, M., Mustafa, M., Kais, S., & Friedrich, B. (2011). Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for "stretched" states. Physical Review A - Atomic, Molecular, and Optical Physics, 83(4). https://doi.org/10.1103/PhysRevA.83.043415
Lemeshko, Mikhail, Mustafa Mustafa, Sabre Kais, and Břetislav Friedrich. “Supersymmetric Factorization Yields Exact Solutions to the Molecular Stark-Effect Problem for "Stretched" States.” Physical Review A - Atomic, Molecular, and Optical Physics 83, no. 4 (2011). https://doi.org/10.1103/PhysRevA.83.043415.
M. Lemeshko, M. Mustafa, S. Kais, and B. Friedrich, “Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for "stretched" states,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 83, no. 4, 2011.
Lemeshko M, Mustafa M, Kais S, Friedrich B. 2011. Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for "stretched" states. Physical Review A - Atomic, Molecular, and Optical Physics. 83(4).
Lemeshko, Mikhail, et al. “Supersymmetric Factorization Yields Exact Solutions to the Molecular Stark-Effect Problem for "Stretched" States.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 83, no. 4, American Physical Society, 2011, doi:10.1103/PhysRevA.83.043415.
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