Velocity-dependent potential effects on two interacting electrons in Cornell quantum dot planted in plasma medium

Mustafa Kemal Bahar

doi:10.17776/csj.831185

EN

Velocity-dependent potential effects on two interacting electrons in Cornell quantum dot planted in plasma medium

Abstract

In this study, the energy levels of two-electron Cornell quantum dot (TECQD) immersed in Debye and quantum plasma mediums are probed. To model plasma mediums, the more general exponential cosine screened Coulomb (MGECSC) is suggested. The presence of TECQD in plasma environment and velocity-dependent potential (VDP) effect in the system render very difficult to solve the relevant wave equation. Since the analytical solution of the relevant wave equation is very difficult, the numerical asymptotic iteration method (AIM) is used. As well as the effects of the encompassing parameters on the energy levels and possible radiations of TECQD, the effects of VDP and quantum (and Debye) plasma medium are also presented in detail. In addition, the alternativeness of VDP, quantum (and Debye) plasma and encompassing parameters to each other on these effects are also discussed.

Keywords

References

[1] Xie W. F., Two interacting electrons in a Gaussian confining potential quantum dot, Solid State Communications, 127 (2003) 401-405.
[2] Kortshagen U., Nonthermal plasma synthesis of semiconductor nanocrystals, Journal of Physics D: Applied Physics, 42 (2009) 113001-113023.
[3] Pi, X. D., Kortshagen, U., Nonthermal plasma synthesized freestanding silicon–germanium alloy nanocrystals, Nanotechnology, 20 (2009) 295602-295608.
[4] Ellenberger, C., Ihn, T., Yannouleas, C., Landman, U., Ensslin, K., Driscall, D., Gassard, A. C., Excitation spectrum of two correlated electrons in a lateral quantum tot with negligible Zeeman splitting, Physical Review Letters, 96 (2006) 126806-126900.
[5] Gutierrez, F. A., Diaz-Valdes, J., Effects of non-spherical screening for inelastic electron-ion scattering, Journal of Physics B: Atomic, Molecular and Optical Physics, 27 (1994) 593-600.
[6] Hong, W., Jung, Y. D., Plasma screening effects on direct 1s->2p electron-ion collisional excitation rates in dense plasmas, Physics of Plasmas, 3 (1996) 2547-2460.
[7] Brandenburg, R., Schweinzer, J., Fiedler, S., Aumayr, F., Winter, H. P., Modelling of fast neutral Li beams for fusion edge plasma diagnostics, Plasma Physics Controlled Fusion, 41 (1999) 471-484.
[8] Nakai, S., Mima, K., Laser driven inertial fusion energy: present and prospective, Reports on Progress in Physics, 67 (2004) 321-349.

[9] Saha, J. K., Bhattacharyya, S., Mukherjee, T. K., Mukherjee, P. K., 2pnp (1,3Pe) states of neutral He and Li+ ions under Debye plasma screening, Journal of Physics B: Atomic, Molecular and Optical Physics, 42 (2009) 245701-245711.
[10] Robinson, M. P., Laburthe Torla, B., Noel, W., M., Gallegher, T. F., Pillet, P., Spontaneous Evolution of Rydberg Atoms into an Ultracold Plasma, Physical Review Letters, 85 (2000) 4466-4469.
[11] Kisslinger, L. S., Scattering of mesons by light nuclei, Physical Review, 98 (1955) 761-765.
[12] Razavy, M., Field, G., Levinger, J. S. 1962. Analytical solutions for velocity-dependent nuclear potentials, Physical Review, 125 (1962) 269-272.
[13] Green, A. E. S., Darewych, G., Berezdivin, R., Morse function and velocity-dependent nuclear potentials, Physical Review, 157 (1967) 929-932.
[14] Green, A. E. S., Rio, D. E., Ueda, T., Analytic velocity-dependent potential for bound and scattering states of electrons and atoms, Physical Review A, 24 (1981) 3010-3018.
[15] Soylu, A., Bayrak, O., Boztosun, I., Effect of the velocity-dependent potentials on the energy eigenvalues of the Morse potential, Central European Journal of Physics, 10 (2012) 953-959.
[16] Bayrak, O., Soylu, A., Boztosun, I., Effect of the velocity-dependent potentials on the bound state energy eigenvalues, Chinese Physics Letters, 28 (2011) 40304-40307.
[17] Jaghoub, M. I., Perturbation theory for velocity-dependent potentials, European Physical Journal A, 15 (2002) 443-448.
[18] Eed, H., A variation iteration method for isotropic velocity-dependent potentials: Scattering case, European Physical Journal A, 50 (2014) 185-192.
[19] Bahar, M. K., Plasma screening effects on the energies of hydrogen atom under the influence of velocity-dependent potential, Physics of Plasmas, 21 (2014) 072706-072716.
[20] Serraond, L. I., Lipparini, E., Spin response of unpolarized quantum dots, Europhysics Letter, 40 (1997) 667-672.
[21] Barranca, M., Pi, M., Gatica, S. M., Herrandez, E. S., Navarro, J., Structure and energetics of mixed 4He-3He drops, Physical Review B, 56 (1997) 8997-9003.
[22] Geller, M. R., Khan, W., Quantum mechanics of electrons in crystals with graded composition, Physical Review Letter, 70 (1993) 3103-3106.
[23] Lin, C. Y., Ho, Y. K., Effects of screened Coulomb (Yukawa) and exponential-cosine-screened Coulomb potentials on photoionization of H and He+ , European Physical Journal D, 57 (2010) 21-26.
[24] Shukla, P. K., Eliasson, B., Screening and wake potentials of a test charge in quantum plasmas, Physics Letters A, 372 (2008) 2897-2899.
[25] Soylu, A., Plasma screening effects on the energies of hydrogen atom, Physics of Plasmas, 19 (2012) 072701-072709.
[26] Jaghoub, M. I., s-wave bound and scattering state wave functions for a velocity-dependent Kisslinger potential, European Physical Journal A, 11 (2001) 175-183.
[27] Jaghoub, M. I., Bound and scattering wave functions for a velocity-dependent Kisslinger potential for l>0, European Physical Journal A, 13 (2002) 349-354.
[28] Jaghoub, M. I., Effect of ordering ambiguity in constructing the Schrödinger equation on perturbation theory, European Physical Journal A, 28 (2006) 253-257.
[29] Jaghoub, M. I., Perturbation theory for isotropic velocity-dependent potentials: Bound-states case, European Physical Journal A, 27 (2006) 99-103.
[30] Jaghoub, M. I., Perturbation theory for isotropic velocity-dependent potentials: Scattering case, Physical Review A, 74 (2006) 032702-032709.
[31] Ciftci, H., Hall, R. L., Saad, N., Asymptotic iteration method for eigenvalue problems, Journal of Physics A: Mathematical and General, 36 (2003) 11807-11816.
[32] Ciftci, H., Hall, R. L., Saad, N., Construction of exact solutions to eigenvalue problems by the asymptotic iteration method, Journal of Physics A: Mathematical and General, 38 (2005) 1147-1155.
[33] Saad, N., Ciftci, H., Hall, R. L., Criterion for polynomial solutions to a class of linear differential equations of second order, Journal of Physics A: Mathematical and General, 39 (2005) 13445-13454.
[34] Bahar M. K., Soylu A., Two-electron quantum dot in plasmas under the external fields, Physics of Plasmas, 25 (2018) 022106-022118.
[35] Bahar M. K., Soylu A., Confinement control mechanism for two-electron Hulthen quantum dots in plasmas, Journal of Physics B:Atomic, Molecular and Optical Physics, 51 (2018) 105701-105715.
[36] Bahar M. K., Soylu A., Laser-driven two-electron quantum dot in plasmas, Physics of Plasmas, 25 (2018) 062113-062125.

Details

Primary Language

English

Subjects

Classical Physics (Other)

Journal Section

Research Article

Authors

Mustafa Kemal Bahar ^*
0000-0003-4265-1402
Türkiye

Publication Date

June 30, 2021

Submission Date

November 25, 2020

Acceptance Date

March 22, 2021

Published in Issue

Year 1970 Volume: 42 Number: 2

DOI

https://doi.org/10.17776/csj.831185

IZ

https://izlik.org/JA56LF88JX

Cite

RIS / Bibtex

APA

Bahar, M. K. (2021). Velocity-dependent potential effects on two interacting electrons in Cornell quantum dot planted in plasma medium. Cumhuriyet Science Journal, 42(2), 380-388. https://doi.org/10.17776/csj.831185

Cited By

Shannon entropy for hydrogen atom in Debye and quantum plasma environment

Physics of Plasmas

https://doi.org/10.1063/5.0146178

Dipole and Quadruple Oscillator Strengths for Hydrogen Atom Under Dense Plasma Modelled by MGECSC Potential

Few-Body Systems

https://doi.org/10.1007/s00601-025-02006-7

Öz

Velocity-dependent potential effects on two interacting electrons in Cornell quantum dot planted in plasma medium

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Shannon entropy for hydrogen atom in Debye and quantum plasma environment

Dipole and Quadruple Oscillator Strengths for Hydrogen Atom Under Dense Plasma Modelled by MGECSC Potential