Abstract
Euler's equations for quantum rheology and the confinement of electrons in a system of active centers of nanometric scale of a condensed state are obtained using the formalism of kinematic electron-density waves. The conditions for the stability of the electron quantum walls of confinement in the form of the balance between the forces of electric and quantum nature are analyzed.
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References
M. A. Kastner, Rev. Mod. Phys.,64, 849–900 (1992).
M. A. Kastner, Physics Today,46, No. 1, 24–31 (1993).
A. P. Rudenko, I. I. Kulakova, and V. P. Skvortsova, Usp. Khim.,62, No. 2, 99–117 (1993).
S. A. Beznosyuk, and Z. M. Muldakhmetov, Vestnik. Akad. Nauk KazSSR, No. 10, 30–38 (1989).
S. A. Beznosyuk, R. D. Dajanov, and A. T. Kuljanov, Int. J. Quant. Chem.,38, No. 5, 691–698 (1990).
S. A. Beznosyuk, B. F. Minaev, R. D. Dajanov, and Z. M. Muldakhmetov, Int. J. Quant. Chem.,38, No. 6, 779–797 (1990).
S. A. Beznosyuk, B. F. Minaev, and Z. M. Muldakhmetov, J. Mol. Struct. (Theochem),227, 125–129 (1991).
N. E. Alekseevskii and D. I. Khomskii, Usp. Fiz. Nauk,147, No. 4, 767 (1985).
R. F. Bader and T. T. Ngueng-Dang, Adv. Quant. Chem.,14, 63–124 (1981).
H. Umedzawa, H. Masumoto, and M. Tatiki, Thermal-Field Dynamics in Condensed States [Russian translation], Mir, Moscow (1985).
J. E. Harriman, Phys. Rev.,A24, 680–691 (1981).
A. I. Olemskoi, V. E. Panin, and V. A. Petrunin, Izv. Vyssh. Uchebn. Zaved., Fizika,30, No. 11, 15–20 (1987).
V. Yu. Kolmanovich and I. M. Reznik, Sol. Stat. Com.,50, 117–128 (1984).
Z. M. Muldakhmetov, B. F. Minaev, and S. A. Beznosyuk, Theory of the Electron Structure of Molecules (New Aspects) [in Russian], Nauka, Alma-Ata (1988).
S. Lundquist and N. March (eds.), Theory of a Nonuniform Electron Gas [Russian translation], Mir, Moscow (1987).
L. J. Bartolotti and R. G. Parr, J. Chem. Phys.72, 1593 (1980).
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E. A. Buketov Karagandinsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 60–67, August, 1994.
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Beznosyuk, S.A. Quantum rheology and the confinement of electrons in condensed-state nanostructures. Russ Phys J 37, 750–756 (1994). https://doi.org/10.1007/BF00559870
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DOI: https://doi.org/10.1007/BF00559870