The two-dimensional hydrogen atom revisited

DOI10.1063/1.1503868zbMath1060.70021arXivmath-ph/0205031OpenAlexW2087100828MaRDI QIDQ4832753

D. G. W. Parfitt, Unnamed Author

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0205031

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Two-body problems (70F05) Atomic physics (81V45) Classical hypergeometric functions, ({}_2F_1) (33C05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (11)

Schrödinger equation for non-pure dipole potential in 2D systems ⋮ Atoms confined by very thin layers ⋮ Zeeman effect in phase space ⋮ Symmetries of the hydrogen atom and algebraic families ⋮ Energy level splitting of a 2D hydrogen atom with Rashba coupling in non-commutative space ⋮ Quantum law of motion: Analysis and extension to higher dimensions ⋮ Asymptotics for two-dimensional atoms ⋮ On a solution of the Schrödinger equation with a hyperbolic double-well potential ⋮ A Coulomb-related family of potentials having zero-energy bound states ⋮ Quantum-classical correspondence for motion on a plane with deficit angle ⋮ Two-dimensional hydrogen-like atom in a constant magnetic field

Cites Work

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