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• W2160361725 endingPage "063036" @default.
• W2160361725 startingPage "063036" @default.
• W2160361725 abstract "We made use of supersymmetric (SUSY) quantum mechanics to find a condition under which the Stark effect problem for a polar and polarizable closed-shell diatomic molecule subject to collinear electrostatic and nonresonant radiative fields becomes exactly solvable. The condition, $Delta omega = frac{omega^2}{4 (m+1)^2}$, connects values of the dimensionless parameters $omega$ and $Delta omega$ that characterize the strengths of the permanent and induced dipole interactions of the molecule with the respective fields. The exact solutions are obtained for the $|tilde{J}=m,m;omega,Delta omega>$ family of stretched states. The field-free and strong-field limits of the combined-fields problem were found to exhibit supersymmetry and shape-invariance, which is indeed the reason why they are analytically solvable. By making use of the analytic form of the $|tilde{J}=m,m;omega,Delta omega>$ wavefunctions, we obtained simple formulae for the expectation values of the space-fixed electric dipole moment, the alignment cosine, the angular momentum squared, and derived a sum rule which combines the above expectation values into a formula for the eigenenergy. The analytic expressions for the characteristics of the strongly oriented and aligned states provide a direct access to the values of the interaction parameters required for creating such states in the laboratory." @default.
• W2160361725 created "2016-06-24" @default.
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• W2160361725 date "2011-06-20" @default.
• W2160361725 modified "2023-10-17" @default.
• W2160361725 title "Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically" @default.
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• W2160361725 doi "https://doi.org/10.1088/1367-2630/13/6/063036" @default.
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