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Prog. Theor. Phys. Vol. 60 No. 2 (1978) pp. 353-364

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Orthogonality Catastrophe for a System of Interacting Electrons

Kosaku Yamada and Kei Yosida*

College of Engineering, Shizuoka University, Hamamatsu, Shizuoka 432
*Institute for Solid State Physics, University of Tokyo, Tokyo 106

(Received March 24, 1978)

Abstract:

The Anderson theorem concerning the overlap integral between two ground-state wave-functions of the electron system with different local potentials is discussed from a general point of view. It is shown that this theorem generally holds in the case where the initial Hamiltonian also includes electron interactions.


URL : http://ptp.ipap.jp/link?PTP/60/353/
DOI : 10.1143/PTP.60.353

[ Full Text PDF : FREE ACCESS (762K) ] Citation:


References:

  1. K. Yamada and K. Yosida, Prog. Theor. Phys. 59 (1978), 1061[PTP].
  2. P. W. Anderson, Phys. Rev. Lett. 18 (1967), 1049[APS]; Phys. Rev. 164 (1967), 352[APS].
  3. P. W. Anderson, Phys. Rev. 124 (1961), 41[APS].
  4. P. Nozières and C. T. de Dominicis, Phys. Rev. 178 (1969), 1097[APS].
  5. F. J. Ohkawa, Prog. Theor. Phys. 60 (1978), 60[PTP].
  6. A. Kotani and Y. Toyozawa, J. Phys. Soc. Jpn. 35 (1973), 1073[JPSJ].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 363-369 :
    Orthogonality Catastrophe for a System of Interacting Electrons. II
    Kosaku Yamada and Kei Yosida
  2. Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1504-1517 :
    Orthogonality Catastrophe for a System of Interacting Electrons. III
    Kosaku Yamada and Kei Yosida
  3. Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 73-84 :
    Application of the Orthogonality Theorem to the Motion of a Charged Particle in Metals
    Kosaku Yamada, Akio Sakurai and Motomu Takeshige
  4. Progress of Theoretical Physics Vol. 72 No. 2 (1984) pp. 195-201 :
    Diffusion of Positive Muon and Orthogonality Theorem
    Kosaku Yamada
  5. Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1048-1057 :
    New Formalism for an Overlap Integral of the Anderson Orthogonality Theorem
    Akihide Oguchi and Kei Yosida
  6. Progress of Theoretical Physics Vol. 78 No. 3 (1987) pp. 583-590 :
    Anderson Orthogonality Theorem
    Takeshi Kitamura, Akihide Oguchi and Kei Yosida