Dirac equation in noncommutative space for hydrogen atom

Adorno, T. C.; Baldiotti, M. C.; Chaichian, M.; Гитман, Д. М.; Tureanu, Anca

doi:10.1016/j.physletb.2009.11.003

Cited by 68 publications

(81 citation statements)

References 9 publications

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“…From now on, we put = c = 1 and, consequently, g = e. For the proton, by taking the charge radius of 0.9 fm for a we conclude that the correction to the magnetic moment is below the experimental error of 2.3 · 10 −8 µ N [17] already for Λ NC ≃ 0.24 TeV. An estimate of the NC proton magnetic moment contribution into the hyperfine splitting of the energy states in a hydrogen atom, based on a NC theory [8,18] of electron spectrum, does not strengthen the bound on l found in [6] with the use of the non-dipole magnetic solution given as eq. (13) below.…”

mentioning

confidence: 78%

Noncommutative magnetic moment of charged particles

et al. 2011

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It has been argued that in noncommutative field theories, sizes of physical objects cannot be taken smaller than an "elementary length" related to noncommutativity parameters. By gaugecovariantly extending field equations of noncommutative U (1) ⋆ -theory to cover the presence of external sources, we find electric and magnetic fields produced by an extended static charge. We find that such a charge, apart from being an ordinary electric monopole, is also a magnetic dipole.By writing off the existing experimental clearance in the value of the lepton magnetic moments for the present effect, we get the bound on noncommutativity at the level of 10 4 TeV.

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confidence: 78%

Noncommutative magnetic moment of charged particles

et al. 2011

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“…In terms of commutative variables ( , ), we find that the dynamical equation for component 1 takes the same form as (33). The corresponding Hamiltonian (34) in terms of commutative variables becomes…”

Section: Spin-0 and Spin-1 Bosons On Noncommutative Planementioning

confidence: 94%

“…Nonrelativistic noncommutative quantum mechanical models, such as noncommutative harmonic oscillator and noncommutative Landau problem, have been studied extensively [26][27][28][29][30][31][32]. The relativistic quantum mechanical models on noncommutative space are investigated since the work of [33]. Some geometrical phases in noncommutative relativistic quantum theory are studied in [34][35][36] recently.…”

Section: Introductionmentioning

confidence: 99%

Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes

Wang¹,

Zhang²,

Wang³

et al. 2017

Advances in High Energy Physics

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Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes. We show that, on the commutative plane, the average speeds of wave packets along the radial direction during the interval in which a quantum state is evolving from an initial state to the orthogonal final one can not exceed the speed of light, regardless of the intensities of the magnetic field. However, due to the noncommutativity, the average speeds of the wave packets on noncommutative plane will exceed the speed of light in vacuum provided the intensity of the magnetic field is strong enough. It is a clear signature of violating Lorentz invariance in the relativistic quantum mechanics region.

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“…Non-relativistic noncommutative quantum mechanics, such as noncommutative harmonic oscillator, noncommutative Landau problem have also been studied extensively [17][18][19][20][21][22][23]. The relativistic quantum mechanical models on noncommutative space are also investigated since the work of [24]. Interestingly, it is found that the noncommutativity even has a profound relationship with JC model in quantum optics context [25].…”

Section: (ē−E0)mentioning

confidence: 99%