2017Unpublished venueRequires access

Spectral characteristics of electron states in δ-barrier nanostructure with position-dependent effective mass

Julia Seti, N. V. Tkach, Оxana Voitsekhivska

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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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What this paper is about

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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Available 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.

Key concepts: Effective mass (spring–mass system), Transmission coefficient, Nanostructure, Schrödinger equation, Rectangular potential barrier, Electron, Quantum well, Position (finance)

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