Spectral characteristics of electron states in δ-barrier nanostructure with position-dependent effective mass
Julia Seti, N. V. Tkach, Оxana Voitsekhivska
Abstract
Julia Seti, N. V. Tkach, Оxana Voitsekhivska
Abstract
The exact solution of Schrodinger equation for the electron is obtained using the model of δ-like potential barriers and approximation of continuous position-dependent effective mass being linear near interface between the quantum wells and barriers of open double-barrier nano-structure. Within these analytical solutions, the effect of the near-interface size on the transmission coefficient of nano-structure, resonance energies and widths of electron states is studied.
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The exact solution of Schrodinger equation for the electron is obtained using the model of δ-like potential barriers and approximation of continuous position-dependent effective mass being linear near interface between the quantum wells and barriers of open double-barrier nano-structure. Within these analytical solutions, the effect of the near-interface size on the transmission coefficient of nano-structure, resonance energies and widths of electron states is studied.
Key concepts: Effective mass (spring–mass system), Transmission coefficient, Nanostructure, Schrödinger equation, Rectangular potential barrier, Electron, Quantum well, Position (finance)