Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space

Abstract

Noncommutative space which is rotationally invariant is considered. The hydrogen atom is studied in this space. We exactly find the leading term in the asymptotic expansion of the corrections to the $ns$ energy levels over the small parameter of noncommutativity.

References in corpus (20)

• String Theory and Noncommutative Geometry
• Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
• Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
• On Quantum Mechanics on Noncommutative Quantum Phase Space
• Comments on the Hydrogen Atom Spectrum in the Noncommutative Space
• Noncommutative Point Sources
• Composite system in noncommutative space and the equivalence principle
• Dirac Equation in Noncommutative Space for Hydrogen Atom
• Phase-Space Noncommutativity and the Dirac Equation
• $\kappa$-deformed Dirac Equation
• Hydrogen atom in rotationally invariant noncommutative space
• On Time-Space Noncommutativity for Transition Processes and Noncommutative Symmetries
• Lamb shift and Stark effect in simultaneous space-space and momentum-momentum noncommutative quantum mechanics and $\theta$-deformed $su(2)$ algebra
• The Noncommutative Quadratic Stark Effect For The H-Atom
• Particle-like solutions to classical noncommutative gauge theory
• Second-order corrections to the non-commutative Klein-Gordon equation with a Coulomb potential
• New treatment of the noncommutative Dirac equation with a Coulomb potential
• Non-Pauli Effects from Noncommutative Spacetimes
• A New Limit for the Non-Commutative Space-Time Parameter
• Noncommutative of space-time and the relativistic Hydrogen atom

Cited by in corpus (7)

• Composite system in rotationally invariant noncommutative phase space
• Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Kinematic variables in noncommutative phase space and parameters of noncommutativity
• Noncommutative phase space with rotational symmetry and hydrogen atom
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Two-particle system in noncommutative space with preserved rotational symmetry