Two-particle system in Coulomb potential for twist-deformed space-time

In this article, we define a two-particle system in Coulomb potential for twist-deformed space-time with spatial directions commuting to time-dependent function f κ a ( t ) . Particularly, we provide the proper Hamiltonian function and further, we rewrite it in terms of commutative variables. Beside...

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Bibliographic Details
Published in:Physica scripta 2018-08, Vol.93 (8), p.85202
Main Author: Daszkiewicz, Marcin
Format: Article
Language:English
Subjects:
ground Helium state
noncommutative space-time
twist deformation
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Summary:In this article, we define a two-particle system in Coulomb potential for twist-deformed space-time with spatial directions commuting to time-dependent function f κ a ( t ) . Particularly, we provide the proper Hamiltonian function and further, we rewrite it in terms of commutative variables. Besides, we demonstrate, that for small values of deformation parameters, the obtained in the perturbation framework, first-ordered corrections for ground helium energy are equal to zero. In such a way, we show that the nontrivial impact of space-time noncommutativity appears only at the second order of the quantum-mechanical correction expansion.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/aacba4