Electron and hole quasistationary states in opened cylindrical quantum wire

Tkach, N. V.; Holovatsky, V. A.; Voіtseкhіvsкa, О. М.

doi:10.1016/s1386-9477(01)00156-4

Cited by 21 publications

(16 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In the case of an open cylindrical quantum well, Fig. 1(b), where the electron is in the quasistationary state, the Breit-Wigner S-matrix method to evaluate lifetime of the states may be used if wave vectors are complex-valued [7]. 3.…”

Section: Square Double Quantum Wellmentioning

confidence: 99%

Application of Gröbner basis in calculation of wave functions in nanostructures

Dargys¹,

Acus²

2011

Lith. J. Phys.

View full text Add to dashboard Cite

The knowledge of exact wave functions is required in calculating physical parameters such as optical dipole moments, scattering matrix elements, or in wave function engineering. In this report we describe how a system of algebraic equations that follows from the Schrödinger equation can be reduced to a Gröbner basis from which the exact wave function can be easily constructed. As an example, closed form solutions for a cylindrical electronic waveguide and double quantum well nanostructures are presented.

show abstract

Section: Square Double Quantum Wellmentioning

confidence: 99%

Application of Gröbner basis in calculation of wave functions in nanostructures

Dargys¹,

Acus²

2011

Lith. J. Phys.

View full text Add to dashboard Cite

show abstract

“…It should be noted that there are still many unanswered questions considering the application of Green's functions to the structures with disrupted symmetry [10][11][12][13]. The reasons for this lie in the fact that in the direction of symmetry disruption, Green's function does not depend on the difference of spatial indices, but on each of them separately.…”

Section: Ultrathin Layers -Coatingsmentioning

confidence: 99%

Increase of Mobility of Ions in Li-Ion Batteries by Ultrathin Phonon Coatings of Electrodes

Mirjanić¹,

Šetrajčić²,

Pelemiš³

et al. 2011

View full text Add to dashboard Cite

This paper presents the results of research of behavior of phonon subsystem in ultrathin coatings that are applied on electrodes in Li-ion batteries and that increase the efficiency of ion transport. Using the method of Green functions it was demonstrated that in ultrathin films, increased mechanical oscillating of crystalline lattice and forming of standing waves occur, while, thermal capacitiveness and conduction of the overall coating decreases. With their increased oscillating, phonons release the ions captured on and within electrodes, and thus influence an increase in efficiency of ion conductivity.

show abstract

“…The investigations of the electron or hole quasistationary spectra in quantum dots (QD) and wires have been performed in [7][8][9][10][11][12] solving the Schrödinger equation within the S-matrix method. A comparatively simple model of effective masses and rectangular potential barriers for an electron made it possible to obtain the exact analytical expressions for the S-matrix but the calculation of the resonance energies and widths of quasistationary states could be performed only for nanosystems with rather "powerful" barriers, when these magnitudes were defined by the S-matrix poles in a complex plane.…”

Section: Introductionmentioning

confidence: 99%

Evolution of quasistationary electron spectrum in open spherical quantum dot

Tkach¹,

Seti²,

Voitsekhivska³

2008

Condens. Matter Phys.

View full text Add to dashboard Cite

The evolution of electron quasistationary spectrum in open spherical quantum dot is under study within the effective mass and rectangular potential model. Within the framework of the S-matrix model the exact solution of Schrödinger equation is obtained in general analytical form. It is shown, for the first time, that the generalized resonance energies and widths introduced as the parameters defining the probability distribution function (over the energy or quasi momentum) of electron location in quantum dot, adequately characterize the evolution of its quasistationary states (contrary to the S-matrix poles) in the whole range of barrier thickness: from zero (free states) up to the infinity (stationary bound states are under the barrier and virtual and free states are above it).

show abstract

Electron and hole quasistationary states in opened cylindrical quantum wire

Cited by 21 publications

References 9 publications

Application of Gröbner basis in calculation of wave functions in nanostructures

Application of Gröbner basis in calculation of wave functions in nanostructures

Increase of Mobility of Ions in Li-Ion Batteries by Ultrathin Phonon Coatings of Electrodes

Evolution of quasistationary electron spectrum in open spherical quantum dot

Contact Info

Product

Resources

About