Energy spectrum and oscillator strengths for spherical, conical and cylindrical CdSe quantum dots

Bochorishvili, Beka; Polatoglou, Hariton Μ.

doi:10.1088/1757-899x/6/1/012026

Cited by 8 publications

(3 citation statements)

References 20 publications

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“…As it was mentioned above, the problem of one-electron states in conical quantum dot was already discussed in several works [22], [25], [30,31]. In the Ref.…”

Section: Comparisonmentioning

confidence: 89%

Quasi-conical quantum dot: electron states and quantum transitions

Kazaryan,

Petrosyan,

Shahnazaryan

et al. 2014

Preprint

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The exactly solvable model of quasi-conical quantum dot, having a form of spherical sector is proposed. Due to the specific symmetry of the problem the separation of variables in spherical coordinates is possible in the one-electron Schrodinger equation. Analytical expressions for wave function and energy spectrum are obtained. It is shown that at small values of the stretch angle of spherical sector the problem reduced to the conical QD problem. The comparison with previously performed works showed good agreement of results. As an application of the obtained results, the quantum transitions in the system are considered.

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“…As it was mentioned above, the problem of one-electron states in conical quantum dot was already discussed in several works [22], [25], [30,31]. In the Ref.…”

Section: Comparisonmentioning

confidence: 89%

Quasi-conical quantum dot: electron states and quantum transitions

Kazaryan,

Petrosyan,

Shahnazaryan

et al. 2014

Preprint

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“…Theoretical study of physical processes in the CQD was held in [5][6][7][8][9]. It should be noted that for the theoretical description the form of confining potential of observed nanostructure has fundamental importance.…”

Section: Introductionmentioning

confidence: 99%

Direct Interband Light Absorption in Conical Quantum Dot

Hayrapetyan

Chalyan

Kazaryan

et al. 2015

Journal of Nanomaterials

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In the framework of the adiabatic approximation, the energy states of electron as well as the direct light absorption are investigated in conical quantum dot. Analytical expressions for particle energy spectrum are obtained. The dependence of the absorption edge on geometrical parameters of conical quantum dot is obtained. Selection rules are revealed for transitions between levels with different quantum numbers. In particular, it is shown that for the radial quantum number transitions are allowed between the levels with the same quantum numbers, and any transitions between different levels are allowed for the principal quantum number.

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“…In Ref. [22] the authors studied electronic states and optical transitions in a conical QD on the basis of the finite element method. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Quasi-Conical Quantum Dot: Electron States and Quantum Transitions

Kazaryan

Petrosyan

Shahnazaryan

et al. 2015

Commun. Theor. Phys.

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The exactly solvable model of quasi-conical quantum dot, having a form of spherical sector, is proposed.Due to the specific symmetry of the problem the separation of variables in spherical coordinates is possible in the oneelectron Schrodinger equation. Analytical expressions for wave function and energy spectrum are obtained. It is shown that at small values of the stretch angle of spherical sector the problem is reduced to the conical QD problem. The comparison with previously performed works shows good agreement of results. As an application of the obtained results, the quantum transitions in the system are considered.

show abstract

Energy spectrum and oscillator strengths for spherical, conical and cylindrical CdSe quantum dots

Cited by 8 publications

References 20 publications

Quasi-conical quantum dot: electron states and quantum transitions

Quasi-conical quantum dot: electron states and quantum transitions

Direct Interband Light Absorption in Conical Quantum Dot

Quasi-Conical Quantum Dot: Electron States and Quantum Transitions

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