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Schlagwörter:
Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
Zusammenfassung:
The Schr\"odinger equation of the spherical symmetry quantum models such as
the hydrogen atom problem seems to be analytically non-solvable in higher
dimensions. When we try to compactifying one or several dimensions this
question can maybe solved. This paper stands for the study of the spherical
symmetry quantum models on noncommutative spacetime with compactified extra
dimensions. We provide analytically the resulting spectrum of the hydrogen atom
and Yukawa problem in $4+1$ dimensional noncommutative spacetime in the first
order approximation of noncommutative parameter. The case of higher dimensions
$D\geq 4$ is also discussed.