Abstract
Abstract
In this work, the vibrational energy levels, the kinetic energy and the potential energy of the LiAr molecule in its X
2Σ+ and A
2Π electronic states are studied using the Morse potential and so(2, 1) spectrum generating algebra approach. An algorithm for the recursive evaluation of the expectation value of
Z
q
=
e
−
α
(
r
−
r
e
)
q
for a given state of Li (X
2Σ+) Ar and Li (A
2Π) Ar are proposed. As an application closed-form estimations for the value
r
n
of Li (X
2Σ+) Ar and Li (A
2Π) Ar were derived using Jensen’s inequality. This allows us to obtain several inequalities relating the radial expectation value
r
n
of Li (X
2Σ+) Ar and Li (A
2Π) Ar at the logarithme of the expectation value of
Z
q
=
e
−
α
(
r
−
r
e
)
q
. These obtained outcomes are compared to the published results, both theoretical and experimental, and show a good agreement.
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics
Cited by
3 articles.
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