The spectrum of a quasi-two-dimensional system in a parallel magnetic field
type: Item
instance of: scholarly article
title: The spectrum of a quasi-two-dimensional system in a parallel magnetic field
zbMATH Open document ID: 1072.81575
author: I. V. Chudaev
author: V. A. Geiler
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-06-19T00:00:00Z
review text: The spectrum of an electron in a hetero-structure is studied in the approximation by zeroradius potentials. The authors present a rigorous analytical study of function \(E_n(p_x)\)-complete set of the energy eigenvalues of a perturbed harmonic oscillator with the corresponding Hamiltonian. Here \(p_x\) is the coordinate of the center of the classical cyclotron orbit. The basic result of this paper is a detailed analysis of the curves of \(E=E_n(p_x)\), an asymptotic expression for the ground state in terms of the coupling constant, an exact values of effective masses in subbands.
Mathematics Subject Classification ID: 81V10
Mathematics Subject Classification ID: 81V80
zbMATH DE Number: 1440458
zbMATH Keywords: energy
zbMATH Keywords: spectrum
zbMATH Keywords: magnetic field
zbMATH Keywords: potential
zbMATH Keywords: approximation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1440458