Electron and Exciton Quasi-Stationary s-States in Open Spherical Quantum Dots

• Authors: M. Tkach , Ju. Seti , O. Voitsekhivska
• Languages of publication: EN

Abstracts

EN

The theoretical calculation of spectral parameters of electron and exciton quasi-stationary s-states in open spherical quantum dot is performed within the effective mass approximation and rectangular potentials model. The conceptions of probability distribution functions (over quasi-momentum or energy) of electron location inside of quantum dot and their spectral characteristics: generalized resonance energies and widths are introduced. It is shown that the generalized resonance energies and widths, obtained within the distribution functions, satisfy the Heisenberg uncertainty principle for the barrier widths varying from zero to infinity. At the same time, the ordinary resonance energies and widths defined as complex poles of scattering S-matrix, do not satisfy it for the small barrier widths and, therefore, are correct only for the open quantum dots with rather wide potential barriers.

Keywords

EN

71.15.Dx; 73.21.La; 73.22.Dj; 73.90.+f

Discipline

• 73.22.Dj: Single particle states
• 73.90.+f: Other topics in electronic structure and electrical properties of surfaces, interfaces, thin films, and low-dimensional structures (Restricted to new topics in section 73)
• 73.21.La: Quantum dots
• 71.15.Dx: Computational methodology (Brillouin zone sampling, iterative diagonalization, pseudopotential construction)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 1
• Pages: 207-211

Dates

published

2012-07

received

2011-12-10

(unknown)

2012-02-10

Contributors

author

M. Tkach

• Chernivtsi National University, Kotsiybynsky Str. 2, Chernivtsi, 58012, Ukraine

author

Ju. Seti

• Chernivtsi National University, Kotsiybynsky Str. 2, Chernivtsi, 58012, Ukraine

author

O. Voitsekhivska

• Chernivtsi National University, Kotsiybynsky Str. 2, Chernivtsi, 58012, Ukraine

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Identifiers

DOI

10.12693/APhysPolA.122.207