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Volumn 61, Issue 23, 2000, Pages 15895-15904

Formation and control of electron molecules in artificial atoms: Impurity and magnetic-field effects

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EID: 0000679805     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.61.15895     Document Type: Article
Times cited : (68)

References (47)
  • 6
    • 33744580965 scopus 로고
    • The failure of Bohr-type models, based on the orbiting of spatially correlated electrons in conjunction with the Bohr-Sommerfeld quantization rule, to yield a reasonable estimate of the ground state of the He atom signaled a looming crisis in physics in the 1920s, which Bohr himself, as well as others, had been keenly aware of, as summarized succintly by Sommerfeld: “All attempts made hitherto to solve the problem of the neutral helium atom have proved to be unsuccessful” [A. Sommerfeld, Rev. Sci. Instrum. 7, 509 (1923)]. Also see A. Pais, Niels-Bohr’s Times (Clarendon, Oxford, 1991), Chap 10;
    • (1923) Rev. Sci. Instrum. , vol.7 , pp. 509
    • Sommerfeld, A.1
  • 8
    • 0004039765 scopus 로고
    • Ungar, New York
    • M. Born, The Mechanics of the Atom (Ungar, New York, 1927). Subsequently, numerical solutions of the two-electron Schrödinger equation provided a quantitative resolution to the problem, but the first successful semiclassical treatment of the three-body Coulomb system did not occur untill 1980;
    • (1927) The Mechanics of the Atom
    • Born, M.1
  • 10
    • 0002125327 scopus 로고
    • D. Wintgen, K. Richter, and G. Tanner, Chaos 2, 19 (1992). Furthermore, based on rather general group-theoretical arguments arising from the observation of hierarchies with lower symmetry in the excited spectra, and motivated by ideas originating in nuclear-physics spectroscopy, it was discovered in the late 1970s and early 1980s that electron correlations in doubly excited He lead to a quantization of the spectrum much like in a linear triatomic molecule, (Formula presented). This molecular picture, with near rigidity and separability, results in “infinite sequences of vibrational levels, on each of which is built an infinite sequence of rotational levels”;
    • (1992) Chaos , vol.2 , pp. 19
    • Wintgen, D.1    Richter, K.2    Tanner, G.3
  • 13
    • 0000782751 scopus 로고
    • Phys. Rev. AS. Watanabe and C.D. Lin, 34, 823 (1986). Interestingly, as in the aforementioned semiclassical treatments, the collinear configuration plays a special role in the moleculelike model, serving perhaps as a “partial vindication” of the geometry considered originally by Bohr.
    • (1986) Phys. Rev. A , vol.34 , pp. 823
    • Watanabe, S.1    Lin, C.2
  • 16
    • 0003754955 scopus 로고    scopus 로고
    • Wiley, New York
    • W. Ekardt, Metal Clusters (Wiley, New York, 1999), Chaps. 1 and 4.
    • (1999) Metal Clusters
    • Ekardt, W.1
  • 20
    • 0038137959 scopus 로고    scopus 로고
    • H.-M. Müller and S.E. Koonin, Phys. Rev. B 54, 14 532 (1996).
    • (1996) Phys. Rev. B , vol.54 , pp. 14532
    • Koonin, S.1
  • 26
    • 0041514804 scopus 로고
    • For studies pertaining to the arrangement of classical point charges in a harmonic confinement, see Yu.E. Lozovik, Usp. Fiz. Nauk 153, 356 (1987) [Sov. Phys. Usp. 30, 912 (1987)];
    • (1987) Sov. Phys. Usp. , vol.30 , pp. 912
  • 31
  • 34
    • 4143093060 scopus 로고    scopus 로고
    • Here we differentiate between the exact solution of the Hamiltonian specified by Eqs. (1) and (2) from “exact diagonalization methods” of Hubbard-type Hamiltonians used as models of QD’s [see, e.g., R. Berkovits, Phys. Rev. Lett. 81, 2128 (1998)].
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 2128
    • Berkovits, R.1
  • 35
    • 3342906428 scopus 로고
    • see Modern Quantum Chemistry (Ref. 14) of WM’s but only for fully polarized QD’s (i.e., under high magnetic fields where the spin unrestriction is not at play).
    • (1954) J. Chem. Phys. , vol.22 , pp. 571
    • Pople, J.1    Nesbet, R.2
  • 43
    • 0000524884 scopus 로고
    • For an early review of the application of Hartree-Fock methods to the description of open-shell, deformed nuclei, see G. Ripka, Adv. Nucl. Phys. 1, 183 (1968).
    • (1968) Adv. Nucl. Phys. , vol.1 , pp. 183
    • Ripka, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.