Prog. Theor. Phys. Vol. 78 No. 3 (1987) pp. 583-590

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Anderson Orthogonality Theorem

— Overlap Integral between Two Ground States with Differnt Centers of Local Potential —

Takeshi Kitamura, Akihide Oguchi and Kei Yosida

Department of Physics, Faculty of Science and Technology, Science Univesity of Tokyo, Noda 278

(Received April 9, 1987)

Abstract:

The overlap integral between two ground states of the conduction electron system with a local potential at each different site is studied. The overlap integral is obtained for the system with 3 nonzero partial wave components of scattering, and this result is extended to the general case with n nonzero phase shifts. It is shown that the calculation of the exponent of the overlap integral can be reduced to solving an eigenvalue problem.

URL : http://ptp.ipap.jp/link?PTP/78/583/
DOI : 10.1143/PTP.78.583

References:

P. W. Anderson, Phys. Rev. Lett. 18 (1967), 1049[APS]; Phys. Rev. 164 (1967), 352[APS].
K. Yosida and Y. Yoshimori, Magnetism, ed. H. Suhl (Academic Press, 1973), vol. V. p. 253.
P. Nozières and C. T. de Dominicis, Phys. Rev. 178 (1969), 1097[APS].
K. Yamada, A. Sakurai and M. Takeshige, Prog. Theor. Phys. 70 (1983), 73[PTP].
K. Yamada, A. Sakurai and S. Miyazima, Prog. Theor. Phys. 73 (1985), 1342[PTP].
K. Yamada, A. Sakurai, S. Miyazima and H. S. Hwang, Prog. Theor. Phys. 75 (1986), 1030[PTP].
K. Yamada and K. Yosida, Prog. Theor. Phys. 68 (1982), 1504[PTP]; ibid. 59 (1978), 1061[PTP]; ibid. 60 (1978), 353[PTP]; ibid. 62 (1979), 363[PTP].
A. Oguchi and K. Yosida, Prog. Theor. Phys. 75 (1986), 1048[PTP].

Citing Article(s) :

Progress of Theoretical Physics Vol. 90 No. 1 (1993) pp. 43-51 :
Overlap Integral between the Ground States of an Electron Gas Corresponding to Two Positions of a Scattering Potential

K. Vladár
Progress of Theoretical Physics Supplement No.106 (1991) pp. 147-156 :
Orthogonality Exponents in Low-Dimensional Metals

K. Schönhammer