Geodesic
Electron gas in asymmetric biconvex thin quantum lens: realization of Kohn's theorem
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 109-112.

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The problem of electromagnetic absorption in the electronic gas, which is localized in asymmetric biconvex thin quantum lens, is discussed. It is shown, that in the case of thin lens, in the plane of quantum lens electron gas is localized in two-dimensional parabolic confining potential. Thus, in this system the conditions for the realization of the generalized Kohn’s theorem are satisfied.
Keywords: Kohn's theorem, asymmetric biconvex thin quantum lens. 
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D. B. Hayrapetyan; L. S. Petrosyan; E. M. Kazaryan; H. A. Sarkisyan. Electron gas in asymmetric biconvex thin quantum lens: realization of Kohn's theorem. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 1, pp. 109-112. http://geodesic.mathdoc.fr/item/UZERU_2017_51_1_a20/

[1] P. Harrison Quantum Wells, Wires and Dots, Theoretical and Computational Physics, John Wiley Sons ltd., NY, 2005 | MR

[2] P.A. Maksym, T. Chakraborty, “Quantum Dots in a Magnetic Field: Role of Electron-Electron Interactions”, Phys. Rev. Lett., 65 (1990), 108 | DOI

[3] F.M. Peeters, “Magneto-Optics in Parabolic Quantum Dots”, Phys. Rev. B, 42 (1990), 1486 | DOI

[4] A.O. Govorov, A.V. Chaplik, “Magnetoabsorption at Quantum Points”, JETP Letters, 52 (1990), 31

[5] J.A. Barker, E.P. O’Reilly, “The Influence of Inter-Diffusion on Electron States in Quantum Dots”, Physica E, 4 (1999), 231 | DOI

[6] D.B. Hayrapetyan, E.M. Kazaryan, H.A. Sarkisyan, “Implementation of Kohn’s Theorem for the Ellipsoidal Quantum Dot in the Presence of External Magnetic Field”, Physica E, 75 (2016), 353 | DOI

[7] L.S. Petrosyan, “Electron States in a Biconvex Thin Quantum Lens in the Presence of an External Magnetic Field”, J. Contem. Phys. (Armenian Ac. Sci.), 40:4 (2005), 265–269 | MR

[8] W. Kohn, “Cyclotron Resonance and de Haas-van Alphen Oscillations of an Interacting Electron Gas”, Phys. Rev., 123:4 (1961), 1242 | DOI | Zbl