Linear and nonlinear optical properties in spherical quantum dots: Manning-Rosen potential

Onyeaju, M. C.; Idiodi, J. O. A.; Ikot, Akpan N.; Solaimani, M.; Hassanabadi, H.

doi:10.1007/s12596-016-0359-9

Cited by 38 publications

(23 citation statements)

References 44 publications

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“…In this section, the density matrix formalism is applied to determine the changes in absorption coefficients and refractive index associated to an optical transition between two subbands [17,19,20]. The system considered here is excited by an electromagnetic field of frequency…”

Section: Optical Absorption Coefficients and Refractive Index Changesmentioning

confidence: 99%

“…The time evolution of the matrix elements is calculated in the case of one-electron density operator  [5,17,19,20,31]:…”

Section: Optical Absorption Coefficients and Refractive Index Changesmentioning

confidence: 99%

“…The electronic and optical properties of low dimensional QDs have been investigated using various potential models such as Tietz [13], Gaussian [14], modified Gaussian [15], modified Kratzer [16], Rosen-Morse [17], ring-shaped non-spherical oscillator [18], Manning-Rosen [19],…”

Section: Introductionmentioning

confidence: 99%

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Linear and nonlinear optical properties in spherical quantum dots: Inversely quadratic Hellmann potential

et al. 2021

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Section: Optical Absorption Coefficients and Refractive Index Changesmentioning

confidence: 99%

“…The time evolution of the matrix elements is calculated in the case of one-electron density operator  [5,17,19,20,31]:…”

Section: Optical Absorption Coefficients and Refractive Index Changesmentioning

confidence: 99%

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Linear and nonlinear optical properties in spherical quantum dots: Inversely quadratic Hellmann potential

et al. 2021

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“…Recently, the studies of the solutions of the wave equations have been extended to different areas of studies such as the thermodynamic properties [ 7 , 8 , 9 , 10 , 11 , 12 ], optical properties [ 13 , 14 , 15 ], scattering state and phase shift [ 16 , 17 , 18 , 19 , 20 ], entropic systems [ 21 , 22 , 23 , 24 , 25 , 26 ], Fisher information [ 27 , 28 , 29 , 30 , 31 , 32 ]. As part of the extensional studies, Onate et al.…”

Section: Introductionmentioning

confidence: 99%

Solutions of the Schrödinger equation and thermodynamic properties of a combined potential

Onate

Onyeaju

2021

Heliyon

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The solution of the radial Schrödinger equation was obtained using the methodology of supersymmetric approach with a combination of modified generalized Pöschl-Teller potential and inversely quadratic Yukawa potential model. The non-relativistic ro-vibrational energy spectra and the corresponding wave functions were obtained and numerical results were generated for some states. The variation of energy of the combined potential and the subsets potentials with the screening parameter for various quantum number were graphically studied. The effect of the potential parameters on the energy for different states was also studied numerically. For more usefulness and applications of the work, the vibrational partition function and the various thermal properties like mean energy, Helmholtz energy, heat capacity and entropy were calculated. The behaviour of the thermodynamic properties with respect to temperature change for various quantum number and maximum quantum states were examined in detail. The temperature has positive effect on all the thermal properties except the free energy.

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“…It is well known that there are various traditional techniques used to solve the relativistic and non-relativistic wave equations with the various quantum potential models [1, 2, 3, 4, 5, 6, 7, 8]. These techniques include asymptotic iteration method [9, 10, 11], supersymmetric approach [12, 13, 14, 15], factorization method [16, 17], Nikiforov-Uvarov method [18, 19, 20], exact/proper quantization rule [21], 1/N shifted expansion method [22]. Recently, Tezcan and Sever [23], developed parametric Nikiforov-Uvarov method from the conventional Nikiforv-Uvarov method.…”

Section: Introductionmentioning

confidence: 99%

Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method

Onate

Adebimpe

Lukman

et al. 2018

Heliyon

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The approximate analytical solutions of the non-relativistic Schrӧdinger equation for the Attractive potential model with the centrifugal term are investigated using the elegant methodology of the parametric Nikiforov-Uvarov. The energy equation and the corresponding un-normalized radial wave functions are obtained in a close and compact form after a proper Greene-Aldrich approximation scheme is applied. By changing the numerical values of some potential strengths, special cases of the Attractive potential are investigated in detail. The effects of the potential strengths and potential range respectively on the energy are also studied. The energy is found to be very sensitive to each of the potential parameters. Some theoretic quantities such as information energy, Rẻnyi entropy and Tsallis entropy.

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Linear and nonlinear optical properties in spherical quantum dots: Manning-Rosen potential

Cited by 38 publications

References 44 publications

Linear and nonlinear optical properties in spherical quantum dots: Inversely quadratic Hellmann potential

Linear and nonlinear optical properties in spherical quantum dots: Inversely quadratic Hellmann potential

Solutions of the Schrödinger equation and thermodynamic properties of a combined potential

Approximate eigensolutions of the attractive potential via parametric Nikiforov-Uvarov method

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