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

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

2011-05-26

arxiv.org/abs/1105.5262v1

Phys. Rev. A 83, 043415 (2011)

Physics

Chemical Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.83.043415

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. The exact solvability condition for the interaction parameters involved yields exact wavefunction for the "stretched" states, $|J=m,m>$, and for the $|1,1>$ state in the case of a purely induced-dipole interaction. The analytic expressions for the eigenenergy, the space-fixed dipole moment, the alignment cosine, and the expectation value of the angular momentum allow to readily reverse-engineer the problem of finding the values of the interaction parameters required for creating quantum states with preordained characteristics.

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