Abstract
In the present work, bound states of the Schrödinger equation (SE) and the corresponding optical properties for Derjaguin-Landau-Verweij-Overbook (DLVO) potential are studied. For this goal, we first solved the SE using DLVO potential and obtained eigenfunctions and bound state energy eigenvalues for an arbitrary system. We used analytical expression for optical properties obtained by the compact-density matrix formalism. Here, we have investigated the intersubband optical absorption coefficients and refractive index changes.
Similar content being viewed by others
References
Abadi, M.M., Ranjbar, V.H., Javad, A., Kharame, M.R.K.: Numerical solution of the Schrodinger equation for types of Woods-Saxon potential, arXiv preprint arXiv:1910.03808 (2019).
Ahmadov, A., Naeem, M., Qocayeva, M., Tarverdiyeva, V.: Analytical bound-state solutions of the Schrödinger equation for the Manning–Rosen plus Hulthén potential within SUSY quantum mechanics, (2018).
Aspnes, D.: GaAs lower conduction-band minima: ordering and properties. Phys. Rev. B 14, 5331 (1976)
Behrens, S.H., Christl, D.I., Emmerzael, R., Schurtenberger, P., Borkovec, M.: Charging and aggregation properties of carboxyl latex particles: experiments versus DLVO theory. Langmuir 16, 2566–2575 (2000)
Celik, M., Bulut, R.: Mechanism of selective flotation of sodium-calcium borates with anionic and cationic collectors. Sep. Sci. Technol. 31, 1817–1829 (1996)
Derjaguin, B.v., Landau, L.: Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes, Prog. Surf. Sci. 43 (1993) 30–59.
Dong, S., Fang, Q., Falaye, B., Sun, G.-H., Yánez-Márquez, C., Dong, S.-H.: Exact solutions to solitonic profile mass Schrödinger problem with a modified Pöschl-Teller potential. Mod. Phys. Lett. A 31, 1650017 (2016)
Edet, C., Okoi, P., Yusuf, A., Ushie, P.: Bound state solutions of the generalized shifted Hulthen potential, arXiv preprint arXiv:1909.07552 (2019).
Elimelech, M., Gregory, J., Jia, X.: Particle deposition and aggregation: measurement, modelling and simulation, Butterworth-Heinemann 2013.
Flugge, S.: Practical quantum mechanics. Am. J. Phys. 41, 140–140 (1973)
Hamzavi, M., Amirfakhrian, M.: Bound states of the relativistic rotating deng-fan oscillator potential. Adv. Studies Theor. Phys. 6, 147–155 (2012)
Hitler, L., Ita, B.I., Akakuru, O.U., Magu, T.O., Joseph, I., Isa, P.A.: Radial solution of the s-wave schrodinger equation with kratzer plus modified deng-fan potential under the framework of Nikifarov-Uvarov Method. Int. J. Appl. Mathem. Theor. Phys. 3, 97 (2017)
Ikhdair, S.M.: Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials. Int. J. Mod. Phys. C 20, 1563–1582 (2009)
Ikhdair, S.M.: An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry. J. Mathem. Phys. 52, 052303 (2011)
Ikot, A.N., Akpan, I.O., Abbey, T., Hassanabadi, H.: Exact solutions of schrödinger equation with improved ring-shaped non-spherical harmonic oscillator and coulomb potential. Commun. Theor. Phys. 65, 569 (2016)
Ikot, A.N., Yazarloo, B.H., Antia, A.D., Hassanabadi, H.: Relativistic treatment of spinless particle subject to generalized Tiez-Wei oscillator. Indian J. Phys. 87, 913–917 (2013)
Ishkhanyan, A.: Exact solution of the Schrödinger equation for a short-range exponential potential with inverse square root singularity. European Phys. J. Plus 133, 83 (2018)
Kandirmaz, N.: Coherent states for Kratzer-type potentials. J. Mathem. Phys. 59, 063510 (2018)
Khordad, R.: Effect of position-dependent effective mass on linear and nonlinear optical properties of a cubic quantum dot. Phys. B 406, 3911–3916 (2011)
Khordad, R., Avazpour, A., Ghanbari, A.: Exact analytical calculations of thermodynamic functions of gaseous substances. Chem. Phys. 517, 30–35 (2019a)
Khordad, R., Ghanbari, A.: Effect of phonons on optical properties of RbCl quantum pseudodot qubits. Opt. Quant. Electron. 49, 76 (2017)
Khordad, R., Ghanbari, A.: Analytical calculations of thermodynamic functions of lithium dimer using modified Tietz and Badawi-Bessis-Bessis potentials. Comput. Theor. Chem. 1155, 1–8 (2019)
Khordad, R., Ghanbari, A., Ghaffaripour, A.: Effect of confining potential on information entropy measures in hydrogen atom: extensive and non-extensive entropy, Indian J. Phys. (2019) 1–7.
Kuhn, K.J., Iyengar, G.U., Yee, S.: Free carrier induced changes in the absorption and refractive index for intersubband optical transitions in Al x Ga1− x As/GaAs/Al x Ga1− x As quantum wells. J. Appl. Phys. 70, 5010–5017 (1991)
Le, D.-N., Hoang, N.-T.D., Le, V.-H.: Exact analytical solutions of the Schrödinger equation for a two dimensional purely sextic double-well potential. J. Mathem. Phys. 59, 032101 (2018)
Oats, W.J., Ozdemir, O., Nguyen, A.V.: Effect of mechanical and chemical clay removals by hydrocyclone and dispersants on coal flotation. Miner. Eng. 23, 413–419 (2010)
Poon, W.C., Andelman, D.: Soft condensed matter physics in molecular and cell biology, CRC Press 2006.
Rezaei Akbarieh, A., Motavali, H.: Exact solutions of the klein–gordon equation for the rosen–morse type potentials via nikiforov–uvarov method. Mod. Phys. Lett. A 23 (2008), 35: 3005–3013.
Sun, G.-H., Dong, S.-H.: Relativistic treatment of spinless particles subject to a Tietz—Wei oscillator. Commun. Theor. Phys. 58, 195 (2012)
Ünlü, S., Karabulut, İ, Şafak, H.: Linear and nonlinear intersubband optical absorption coefficients and refractive index changes in a quantum box with finite confining potential. Physica E 33, 319–324 (2006)
Verwey, E.J.W.: Theory of the stability of lyophobic colloids. J. Phys. Chem. 51, 631–636 (1947)
Yoon, R.-H., Mao, L.: Application of extended DLVO theory, IV: derivation of flotation rate equation from first principles. J. Colloid Interface Sci. 181, 613–626 (1996)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ghanbari, A., Khordad, R. Bound states and optical properties for Derjaguin-Landau-Verweij-Overbook potential. Opt Quant Electron 53, 152 (2021). https://doi.org/10.1007/s11082-021-02797-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-021-02797-z