Dirac equation in noncommutative space for hydrogen atom

T. C. Adorno; M. C. Baldiotti; M. Chaichian; D. M. Gitman; A. Tureanu

doi:10.1016/j.physletb.2009.11.003

Dirac equation in noncommutative space for hydrogen atom

T. C. Adorno
, M. C. Baldiotti
, M. Chaichian^*
, D. M. Gitman
, A. Tureanu

^*Corresponding author for this work

Universidade de São Paulo
University of Helsinki

Research output: Contribution to journal › Article › peer-review

67 Citations (Scopus)

Abstract

We consider the energy levels of a hydrogen-like atom in the framework of θ-modified, due to space noncommutativity, Dirac equation with Coulomb field. It is shown that on the noncommutative (NC) space the degeneracy of the levels 2 S_{1 / 2}, 2 P_{1 / 2} and 2 P_{3 / 2} is lifted completely, such that new transition channels are allowed.

Original language	English
Pages (from-to)	235-239
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	682
Issue number	2
DOIs	https://doi.org/10.1016/j.physletb.2009.11.003
Publication status	Published - 30 Nov 2009
Externally published	Yes

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10.1016/j.physletb.2009.11.003

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title = "Dirac equation in noncommutative space for hydrogen atom",

abstract = "We consider the energy levels of a hydrogen-like atom in the framework of θ-modified, due to space noncommutativity, Dirac equation with Coulomb field. It is shown that on the noncommutative (NC) space the degeneracy of the levels 2 S1 / 2, 2 P1 / 2 and 2 P3 / 2 is lifted completely, such that new transition channels are allowed.",

author = "Adorno, \{T. C.\} and Baldiotti, \{M. C.\} and M. Chaichian and Gitman, \{D. M.\} and A. Tureanu",

note = "Funding Information: T.C.A. thanks CNPq ; M.C.B. thanks FAPESP ; D.M.G. thanks FAPESP and CNPq for permanent support. The support of the Academy of Finland under the Projects Nos. 121720 and 127626 is greatly acknowledged.",

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T1 - Dirac equation in noncommutative space for hydrogen atom

AU - Adorno, T. C.

AU - Baldiotti, M. C.

AU - Chaichian, M.

AU - Gitman, D. M.

AU - Tureanu, A.

N1 - Funding Information: T.C.A. thanks CNPq ; M.C.B. thanks FAPESP ; D.M.G. thanks FAPESP and CNPq for permanent support. The support of the Academy of Finland under the Projects Nos. 121720 and 127626 is greatly acknowledged.

PY - 2009/11/30

Y1 - 2009/11/30

N2 - We consider the energy levels of a hydrogen-like atom in the framework of θ-modified, due to space noncommutativity, Dirac equation with Coulomb field. It is shown that on the noncommutative (NC) space the degeneracy of the levels 2 S1 / 2, 2 P1 / 2 and 2 P3 / 2 is lifted completely, such that new transition channels are allowed.

AB - We consider the energy levels of a hydrogen-like atom in the framework of θ-modified, due to space noncommutativity, Dirac equation with Coulomb field. It is shown that on the noncommutative (NC) space the degeneracy of the levels 2 S1 / 2, 2 P1 / 2 and 2 P3 / 2 is lifted completely, such that new transition channels are allowed.

UR - https://www.scopus.com/pages/publications/71649091523

U2 - 10.1016/j.physletb.2009.11.003

DO - 10.1016/j.physletb.2009.11.003

M3 - Article

AN - SCOPUS:71649091523

SN - 0370-2693

VL - 682

SP - 235

EP - 239

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2

ER -

Dirac equation in noncommutative space for hydrogen atom

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