Exact analytical solutions of a two-dimensional hydrogen atom in a constant magnetic field

DOI10.1063/1.4979618zbMath1360.81334OpenAlexW2606431922MaRDI QIDQ2981026

Dai-Nam Le, Le Van Hoang, Ngoc-Tram D. Hoang

Publication date: 8 May 2017

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

Full work available at URL: https://doi.org/10.1063/1.4979618

zbMATH Keywords

two-dimensional spacespecific values of the magnetic field

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (6)

Algebraic structure underlying spherical, parabolic, and prolate spheroidal bases of the nine-dimensional MICZ–Kepler problem ⋮ Energy level splitting of a 2D hydrogen atom with Rashba coupling in non-commutative space ⋮ Relativistic two-dimensional hydrogen-like atom in a weak magnetic field ⋮ Exact analytical solutions of the Schrödinger equation for a two dimensional purely sextic double-well potential ⋮ Two-dimensional hydrogen-like atom in a constant magnetic field ⋮ Parabolic, prolate spheroidal bases and relation between bases of the nine-dimensional MICZ-Kepler problem

Uses Software

• Mathematica

Cites Work

• Coulomb impurity problem of graphene in magnetic fields
• Schrödinger operators with magnetic fields. I: General interactions
• Hamiltonians defined as quadratic forms
• On the two-dimensional Coulomb-like potential with a central point interaction
• Two-dimensional hydrogen atom in a strong magnetic field
• The algebraic method for two-dimensional quantum atomic systems
• Stability of the two-dimensional Brown–Ravenhall operator
• A diamagnetic inequality for semigroup differences
• Two-dimensional hydrogen in a magnetic field: analytical solutions
• Analytical solutions of the Schrödinger equation for a two-dimensional exciton in magnetic field of arbitrary strength
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