One-dimensional Coulomb-like problem in general case of deformed space with minimal length

DOI10.1063/1.4961320zbMath1344.81112arXiv1602.05905OpenAlexW3101068677MaRDI QIDQ2820897

V. M. Tkachuk, M. I. Samar

Publication date: 12 September 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05905

Mathematics Subject Classification ID

Atomic physics (81V45) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Formal methods and deformations in algebraic geometry (14D15)

Related Items (6)

Kepler problem in space with deformed Lorentz-covariant Poisson brackets ⋮ Generalized uncertainty principle and the asymmetrical spinless Salpeter Coulomb problem ⋮ Exact solutions for two-body problems in 1D deformed space with minimal length ⋮ Regularization of 1/X2 potential in general case of deformed space with minimal length ⋮ Exact continuity equation in a space with minimal length ⋮ Application of Biot–Savart law and generalized uncertainty principle

Cites Work

• On the Coulomb-type potential of the one-dimensional Schrödinger equation
• Exactly solvable problems in the momentum space with a minimum uncertainty in position
• Deformed Heisenberg algebra and minimal length
• One-dimensional Coulomb-like problem in deformed space with minimal length
• Non-pointlike particles in harmonic oscillators
• 1D Schrödinger equations with Coulomb-type potentials
• Uncertainty relation in quantum mechanics with quantum group symmetry
• A note on the one-dimensional hydrogen atom with minimal length uncertainty
• Maximal localization in the presence of minimal uncertainties in positions and in momenta
• Penetrability of a one-dimensional Coulomb potential
• Relation of deformed nonlinear algebras with linear ones

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