Two electrons in a homogeneous magnetic field: particular analytical solutions

1994/02/07 by M Taut, M. Taut · 2 citations
Physics and Astronomy · #Mechanical and Optical Resonators #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena

paper · doi:10.1088/0305-4470/27/3/040

openalex publication_date 1994/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Particular analytical solutions of the two-dimensional Schrodinger equation are described for two electrons (interacting with Coulomb potentials) in a homogeneous magnetic field B and an external oscillator potential with frequency omega 0 . These exact solutions occur at an infinite and countable set of values of the quantity omega = square root ( omega 0 2 + 1/4 (B/c) 2 ). Additionally, approximate closed-form solutions for the limits of small omega (perturbation theory in the electron-electron interaction) and large omega (harmonic approximation) are discussed and compared with the exact solutions.

Citations

• The Diamagnetism of the Free Electron

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