Two interacting electrons in a uniform magnetic field and a parabolic potential: The general closed-form solution

DOI10.1063/1.1850996zbMath1076.81013OpenAlexW2006891802MaRDI QIDQ3024235

B. S. Kandemir

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1063/1.1850996

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (7)

Global solutions of the biconfluent Heun equation ⋮ Heun functions and some of their applications in physics ⋮ An application of Heun functions in the quantum mechanics of a constrained particle ⋮ The auxiliary field method in quantum mechanics ⋮ POLYNOMIAL SOLUTIONS OF HEUN EQUATION DESCRIBING FERMIONS IN GRAPHENE ⋮ Effects of symmetry breaking in finite quantum systems ⋮ Quantum systems with position-dependent mass and spin-orbit interaction via Rashba and Dresselhaus terms

Cites Work

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• The Hill determinant: an application to a class of confinement potentials
• On the μx²+ λx⁴+ ηx⁶interaction
• On the Schrodinger equations of rotating harmonic, three-dimensional and doubly anharmonic oscillators and a class of confinement potentials in connection with the biconfluent Heun differential equation
• Shifted 1/N expansion and exact solutions for the potential V(r)=-Z/r+gr+λr²
• Two particles with opposite charge in a homogeneous magnetic field: particular analytical solutions of the two-dimensional Schrödinger equation

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