Velocity dependent potential effects on two-electron quantum dot in plasmas

In this study, for the first time, the effects of the velocity-dependent potential (VDP) on the energies of a two-electron parabolic quantum dot (TEPQD) in Debye and quantum plasma environments depicted by a more general exponential cosine screened Coulomb (MGECSC) potential are taken into consideration. The Schrodinger equation is modified by combining the MGECSC potential and VDP, solving numerically via the asymptotic iteration method. The Schrodinger equation with VDP is basically another type of one with position-dependent mass. The effects of VDP on two interacting electrons inside the parabolic quantum dot in plasmas are probed by considering the isotropic form factor with the harmonic ( ρ ( r ) = ρ 0 r 2) and constant ( ρ ( r ) = ρ 0) form. The alternativeness of the plasma shielding parameters to each other, the confinement parameter of the quantum dot, and the VDP parameters on energies and possible radiations of TEPQD are also discussed.In this study, for the first time, the effects of the velocity-dependent potential (VDP) on the energies of a two-electron parabolic quantum dot (TEPQD) in Debye and quantum plasma environments depicted by a more general exponential cosine screened Coulomb (MGECSC) potential are taken into consideration. The Schrodinger equation is modified by combining the MGECSC potential and VDP, solving numerically via the asymptotic iteration method. The Schrodinger equation with VDP is basically another type of one with position-dependent mass. The effects of VDP on two interacting electrons inside the parabolic quantum dot in plasmas are probed by considering the isotropic form factor with the harmonic ( ρ ( r ) = ρ 0 r 2) and constant ( ρ ( r ) = ρ 0) form. The alternativeness of the plasma shielding parameters to each other, the confinement parameter of the quantum dot, and the VDP parameters on energies and possible radiations of TEPQD are also discussed.

[1]  A. Soylu,et al.  Two-electrons quantum dot in plasmas under the external fields , 2018 .

[2]  U. Kortshagen,et al.  Nonthermal Plasma Synthesis of Core/Shell Quantum Dots: Strained Ge/Si Nanocrystals. , 2017, ACS applied materials & interfaces.

[3]  F. A. Serrano,et al.  Fisher information for the position-dependent mass Schrödinger system , 2015, 1509.08900.

[4]  D. Shihai,et al.  Shannon information entropies for position-dependent mass Schrödinger problem with a hyperbolic well , 2015 .

[5]  J. Draayer,et al.  Quantum information entropies for position-dependent mass Schrödinger problem , 2014 .

[6]  M. Bahar Plasma screening effects on the energies of hydrogen atom under the influence of velocity-dependent potential , 2014 .

[7]  F. A. Serrano,et al.  Proper quantization rule approach to three‐dimensional quantum dots , 2013 .

[8]  A. Soylu Plasma screening effects on the energies of hydrogen atom , 2012 .

[9]  I. Boztosun,et al.  Effect of the velocity-dependent potentials on the energy eigenvalues of the Morse potential , 2012 .

[10]  G. Rawitscher,et al.  Evidence of nonlocality due to a gradient term in the optical model , 2011, 1112.1172.

[11]  U. Kortshagen,et al.  Nonthermal plasma synthesized freestanding silicon–germanium alloy nanocrystals , 2009, Nanotechnology.

[12]  U. Kortshagen Nonthermal plasma synthesis of semiconductor nanocrystals , 2009 .

[13]  H. Ciftci,et al.  Criterion for polynomial solutions to a class of linear differential equations of second order , 2006, math-ph/0609035.

[14]  S. Dong,et al.  Exact solutions of the Schrodinger equation with the position-dependent mass for a hard-core potential [rapid communication] , 2005 .

[15]  H. Ciftci,et al.  Construction of exact solutions to eigenvalue problems by the asymptotic iteration method , 2004, math-ph/0412030.

[16]  S. Dong,et al.  Quantum features of semiconductor quantum dots , 2004 .

[17]  S. Dong,et al.  Exactly solvable potentials for the Schrödinger equation with spatially dependent mass , 2004 .

[18]  Guo-Hua Sun,et al.  Series solutions of the Schrodinger equation with position-dependent mass for the Morse potential [rapid communication] , 2004 .

[19]  H. Ciftci,et al.  Asymptotic iteration method for eigenvalue problems , 2003, math-ph/0309066.

[20]  M. I. Jaghoub Bound and scattering wave functions for a velocity-dependent Kisslinger potential for l > 0 , 2002 .

[21]  L. Jacak Semiconductor quantum dots - towards a new generation of semiconductor devices , 2000 .

[22]  L. Serra,et al.  Spin response of unpolarized quantum dots , 1997 .

[23]  G. Herrmann,et al.  EFFECTS OF A VELOCITY-DEPENDENT COLLISION FREQUENCY ON WAVE-PLASMA INTERACTIONS , 1966 .