Abstract
Radiative transitions in metal clusters are analyzed in terms of quantum transitions of valence electrons that interact with surrounding valence electrons and ion cores. The analysis is based on the solution of the Thomas-Fermi equation for valence electrons in a spherical cluster. The quantum states of valence electrons and the energy and the dipole moments of transitions are determined in the quasiclassical approximation. It is shown that the frequencies of dipole oscillations and the dipole moments of the transitions strongly depend on the size of a cluster.
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References
J. Zheng, C. Zhang, and R. M. Dickson, Phys. Rev. Lett. 93, 077402 (2004).
J. I. Gonzales, T.-H. Lee, M. D. Barnes, et al., Phys. Rev. Lett. 93, 147402 (2004).
V. P. Kraĭnov and M. B. Smirnov, Usp. Fiz. Nauk 170, 969 (2000) [Phys. Usp. 43, 901 (2000)].
B. M. Smirnov and H. Weidele, Zh. Éksp. Teor. Fiz. 116, 1903 (1999) [JETP 89, 1030 (1999)].
V. V. Kresin, Phys. Rep. 220, 1 (1992).
M. B. Smirnov and V. P. Kraĭnov, Zh. Éksp. Teor. Fiz. 115, 2014 (1999) [JETP 88, 1102 (1999)].
A. A. Ovchinnikov, Yu. I. Dakhnovskiĭ, V. D. Krevchik, et al., Principles of Controlled Modulation of Low-Dimensional Structures (UNTsDO, Moscow, 2003) [in Russian].
A. I. Larkin and Yu. N. Ovchinnikov, Pis’ma Zh. Éksp. Teor. Fiz. 37, 322 (1983) [JETP Lett. 37, 382 (1983)].
Y. Imry, Introduction to Mesoscopic Physics (Oxford Univ. Press, Oxford, 1997; Fizmatlit, Moscow, 2002).
L. M. K. Vandersypen, J. M. Elzerman, R. N. Schouten, et al., Appl. Phys. Lett. 85, 4394 (2004).
J. M. Elzerman, R. Hanson, J. S. Greidanus, et al., Physica E (Amsterdam) 25, 135 (2004).
M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1969; Nauka, Moscow, 1973).
A. M. Bystrov and V. B. Gil’denburg, Zh. Éksp. Teor. Fiz. 127, 478 (2005) [JETP 100, 428 (2005)].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory, 3rd ed. (Nauka, Moscow, 1973; Pergamon, Oxford, 1977).
G. V. Rozenberg, Optics of Thin-Film Coatings (Fizmatlit, Moscow, 1958) [in Russian].
O. N. Gadomskiĭ, Usp. Fiz. Nauk 170, 1145 (2000) [Phys. Usp. 43, 1071 (2000)].
O. N. Gadomskiĭ and S. V. Sukhov, Optics of Nanostructures (Ul’yan. Gos. Univ., Ul’yanovsk, 2005) [in Russian].
V. A. Bogatyrev, L. A. Dykman, B. N. Khlebtsov, and N. G. Khlebtsov, Opt. Spektrosk. 96, 139 (2004) [Opt. Spectrosc. 96, 128 (2004)].
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Original Russian Text © O.N. Gadomskii, A.S. Shalin, 2007, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 131, No. 1, pp. 5–13.