Abstract
Abstract
The present paper proposes an advancement beyond the recent mathematical formulation [Cherroud O and Yahiaoui S-A 2023 Eur. Phys. J. Plus. 138 534], by extending their approach to the evaluation of off-diagonal matrix elements
〈
x
ˆ
m
p
ˆ
l
〉
n
,
n
′
J
,
J
′
for the rotation-vibration Morse oscillators. Calculations are conducted within the framework of phase-space quantum mechanics, considering (r → r
eq). This methodology facilitates the derivation of analytical expressions for
〈
x
ˆ
s
〉
n
,
n
′
J
,
J
′
and
〈
p
ˆ
s
〉
n
,
n
′
J
,
J
′
matrix elements, where s = 1, 2, …. This approach enables the evaluation of both diagonal (
n
=
n
′
,
J
=
J
′
≠
0
) and off-diagonal (
n
≠
n
′
,
J
=
J
′
≠
0
) matrix elements through a more explicit and compact analytic formula, applicable for cases where
J
≠
J
′
as well as for scenarios involving non-rotating effects
J
=
J
′
=
0
.