Abstract
The binding energy of excitonium negative ion for ground 1S-state in bulk conductors: Ge, Si, CdSe and for green and yellow lines of Cu2O in hyperspherical coordinate method are found. Angular and radial correlations between electrons are taken into account by the channel functions, which are the eigen-functions of operator on the surface of sphere in six-dimensional sphere. The calculation of energies have been done using the adiabatic and Born-Oppenheimer approximations. In Born-Oppenheimer approximation is enough to give a binding energy with only 1.2% error, in adiabatic approximation this error drops to 0.7 %.
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References
M. Lampert: Phys. Rev. Lett. 1 (1958) 450.
A.M. Frolov: Phys. Rev. A 57 (1998) 2436.
G. Munschy and B. Stebe: Phys. Status Solidi 64 (1974) 213.
C.D. Lin: A dv. Atom. Mol. Phys. 22 (1986) 77.
P.G. Harris et al.: Phys. Rev. A 43 (1990) 6443.
M. Haysak, M. Nagy, and V. Onysko: Czech. J. Phys. 52 (2002) 1225.
M.I. Haftel and V.B. Mandelzweig: Phys. Lett. A 120 (1987) 232.
J.-Z. Tang, S. Watanabe, and M. Matsuzawa: Phys. Rev. A 46 (1992) 3758.
N. Barnea: Phys. Rev. A 59 (1999) 1135.
C.W.Y. Ruan, K.S. Chan, and E.Y.B. Pun: Phys. Rev. B 63 (2001) 205204.
B.R. Johnson: J. Chem. Phys. 73 (1980) 5051.
D.A. Varshalovich, A.N. Moskalev, and V.K. Khersonsky: The Quantum Theory of Angular Momentum, Nauka, Moscow, 1975, 552 p.
MD.A. Khan and T.K. Das: Fizik a B (Zagreb) 9 (2000) 2.
J.H. Macek: J. Phys. B 1 (1968) 831.
M.I. Haysak, M.M. Dovhanich, V.I. Lengyel, and V.V. Onysko: J. Phys. Stud. 1 (1997) 521. 1052 Czech. J. Phys. 53 (2003)
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Haysak, M., Puga, P., Nagy, M. et al. Highlights and Prospects of Hyperspherical Approach in Few-Body Quantum-Mechanical Systems. Czechoslovak Journal of Physics 53, 1047–1052 (2003). https://doi.org/10.1023/B:CJOP.0000010531.78627.e6
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DOI: https://doi.org/10.1023/B:CJOP.0000010531.78627.e6