---
res:
bibo_abstract:
- We made use of supersymmetric (SUSY) quantum mechanics to find the condition under
which the Stark effect problem for a polar and polarizable closed-shell diatomic
molecule subjected to collinear electrostatic and nonresonant radiative fields
becomes exactly solvable. The condition Δω = ω2/4(m+1)2 connects values of the
dimensionless parameters ω and Δω 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 \J̃ = m, m; ω, Δω) 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 \J̃ = m,m; ω, Δω) wavefunctions, we obtained simple formulae for the expectation
values of the space-fixed electric dipole moment, the alignment cosine and the
angular momentum squared, and derived a 'sum rule' that 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 direct access to the values
of the interaction parameters required for creating such states in the laboratory.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Mikhail
foaf_name: Mikhail Lemeshko
foaf_surname: Lemeshko
foaf_workInfoHomepage: http://www.librecat.org/personId=37CB05FA-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-6990-7802
- foaf_Person:
foaf_givenName: Mustafa
foaf_name: Mustafa, Mustafa K
foaf_surname: Mustafa
- foaf_Person:
foaf_givenName: Sabre
foaf_name: Kais, Sabre
foaf_surname: Kais
- foaf_Person:
foaf_givenName: Břetislav
foaf_name: Friedrich, Břetislav
foaf_surname: Friedrich
bibo_doi: 10.1088/1367-2630/13/6/063036
bibo_volume: 13
dct_date: 2011^xs_gYear
dct_publisher: IOP Publishing Ltd.@
dct_title: Supersymmetry identifies molecular Stark states whose eigenproperties
can be obtained analytically@
...