SECOND-ORDER CORRECTIONS TO THE NONCOMMUTATIVE KLEIN–GORDON EQUATION WITH A COULOMB POTENTIAL

DOI10.1142/S0217751X11054139zbMath1247.81136arXiv1101.0355MaRDI QIDQ2919089

Yazid Delenda, Slimane Zaim, Lamine Khodja

Publication date: 2 October 2012

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0355

zbMATH Keywords

Klein-Gordon equationhydrogen atomnoncommutative field theory

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Noncommutative geometry in quantum theory (81R60)

Related Items (9)

The Klein–Gordon equation with the Kratzer potential in the noncommutative space ⋮ Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space ⋮ Noncommutative phase space with rotational symmetry and hydrogen atom ⋮ Composite system in rotationally invariant noncommutative phase space ⋮ Hydrogen atom in rotationally invariant noncommutative space ⋮ Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle ⋮ Spin-one (1 + 3)-dimensional DKP equation with modified Kratzer potential in the non-commutative space ⋮ Perturbation of the ns levels of the hydrogen atom in rotationally invariant noncommutative space ⋮ Kinematic variables in noncommutative phase space and parameters of noncommutativity

Cites Work

• Theory of light hydrogenlike atoms
• The quantum structure of spacetime of the Planck scale and quantum fields
• KLEIN–GORDON EQUATION FOR THE COULOMB POTENTIAL IN NONCOMMUTATIVE SPACE
• Noncommutative Point Sources
• Exact Solution of Klein–Gordon Equation for Charged Particle in Magnetic Field with Shape Invariant Method
• Hyperfine splitting in noncommutative spaces
• Gauge gravity in noncommutative de Sitter space and pair creation
• Space-time noncommutative field theories and unitarity

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