Electron standing wave resonances in 2-D quantum well and fractional quantum Hall effect

We report a theoretical investigation of electron states in an infinitely deep quantum potential well, in which one of the walls has a one-dimensional periodically irregular boundary. It is shown that (1) forbidden gaps in the electron spectrum appear due to standing wave resonances; (2) the fractio...

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Bibliographic Details
Published inMMET Conference Proceedings. 1998 International Conference on Mathematical Methods in Electromagnetic Theory. MMET 98 (Cat. No.98EX114) Vol. 2; pp. 719 - 721 vol.2
Main Author Pogrebnyak, V.A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1998
Subjects
Boundary conditions
Dispersion
Eigenvalues and eigenfunctions
Electromagnetic analysis
Electrons
Hall effect
Potential well
Quantum mechanics
Resonance
Schrodinger equation
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Summary:We report a theoretical investigation of electron states in an infinitely deep quantum potential well, in which one of the walls has a one-dimensional periodically irregular boundary. It is shown that (1) forbidden gaps in the electron spectrum appear due to standing wave resonances; (2) the fractional quantum Hall effect is explained in the framework of the integer quantum Hall effect theory.
ISBN:0780343603
9780780343603
DOI:10.1109/MMET.1998.709869