Dirac Equation in Noncommutative Space for Hydrogen Atom

Abstract

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

9 pages, 1 figure; typos corrected

References in corpus (2)

• Dirac Hamiltonian with superstrong Coulomb field
• Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action

Cited by in corpus (36)

• Composite system in rotationally invariant noncommutative phase space
• Spin Hall effect on a noncommutative space
• Hydrogen atom in rotationally invariant noncommutative space
• The velocity operator in quantum mechanics in noncommutative space
• Dynamics of a Dirac Fermion in the presence of spin noncommutativity
• Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle
• Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra
• Second-order corrections to the non-commutative Klein-Gordon equation with a Coulomb potential
• Noncommutative magnetic moment of charged particles
• New treatment of the noncommutative Dirac equation with a Coulomb potential
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Upper bound on the momentum scale in noncommutative phase space of canonical type
• Semiclassical and quantum description of motion on noncommutative plane
• Dynamical noncommutativity
• Kinematic variables in noncommutative phase space and parameters of noncommutativity
• Noncommutative phase space with rotational symmetry and hydrogen atom
• Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space
• Quantum speed limit for a relativistic electron in the noncommutative phase space
• Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical noncommutative spaces
• Two-particle system in noncommutative space with preserved rotational symmetry
• Noncommutative of space-time and the relativistic Hydrogen atom
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
• Magnetic monopoles in noncommutative quantum mechanics
• Non-Commutativity effects in the Dirac equation in crossed electric and magnetic fields
• Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
• Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton Radius
• The Phase-Space Noncommutativity Effect on the Large and Small Wavefunction Components Approach at Dirac Equation
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• From Noncommutative Sphere to Nonrelativistic Spin
• Pinhole interference in three-dimensional fuzzy space
• Noncommutative Landau problem in graphene: a gauge-invariant analysis with the Seiberg-Witten map
• Gauge invariance and classical dynamics of noncommutative particle theory
• The 1/N Expansion in Noncommutative Quantum Mechanics
• Perturbation Theory on the Non-Commutative Plane with a Singular Potential
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space