Quasi-bound states determination using a perturbed wavenumbers method in a large quantum box

A perturbed wavenumbers method (PWM) is presented that is capable of determining the quasi-bound-state eigenenergies and their lifetimes for quantum heterostructures having arbitrary potential profiles. The numerical method presented solves the single-band effective-mass Schrodinger equation without...

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Bibliographic Details
Published in:IEEE journal of quantum electronics 1997-05, Vol.33 (5), p.742-752
Main Authors: Anemogiannis, E., Glytsis, E.N., Gaylord, T.K.
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Conductivity
Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems
Electron states and collective excitations in thin films, multilayers, quantum wells, mesoscopic and nanoscale systems
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Electrons
Equations
Exact sciences and technology
Interference
Optical design
Photodetectors
Physics
Pulse width modulation
Quantum well devices
Resonance
Tunneling
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Summary:A perturbed wavenumbers method (PWM) is presented that is capable of determining the quasi-bound-state eigenenergies and their lifetimes for quantum heterostructures having arbitrary potential profiles. The numerical method presented solves the single-band effective-mass Schrodinger equation without using complex energies. It is applicable to quantum structures that are symmetric, asymmetric, unbiased, or biased. For multiple quantum heterostructures, extensive comparisons of this numerical method with other currently used techniques are included. In addition, a modified density of states formulation is presented and applied to these example cases.
ISSN:0018-9197
1558-1713
DOI:10.1109/3.572148