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Prog. Theor. Phys. Vol. 16 No. 3 (1956) pp. 197-211

[ Full Text PDF : FREE ACCESS (1223K) ]

Partial Description of Quantum-Mechanical System

Gentaro Araki

Faculty of Engineering, Kyoto University, Kyoto

(Received March 30, 1956)

Abstract:

A quantum-mechanical system is divided into several partial systems which are interacting each other. The general and practical methods of extracting one of the partial systems are discussed. If a one-dimensional partial system is extracted the two-particle interaction in the partial system is a long range part of the two-particle interaction in the original system and its short range part is absorbed in the average field due to the remaining part of the system. It is noted that the light absorption of long carotenoids is due to the plasma oscillation of π electrons caused by the long range part of the Coulomb interaction. The mechanism of screening the short range part is somewhat different from that of the three-dimensional case.


URL : http://ptp.ipap.jp/link?PTP/16/197/
DOI : 10.1143/PTP.16.197

[ Full Text PDF : FREE ACCESS (1223K) ] Citation:

References:

  1. G. Araki and T. Murai, Prog. Theor. Phys. 8 (1952), 639[PTP]; J. Chem. Phys. 20 (1952), 1661[CrossRef].
  2. G. Araki and H. Araki, Prog. Theor. Phys. 11 (1954), 20[PTP].
  3. G. Araki and T. Murai, J. Chem. Phys. 22 (1954), 945[CrossRef].
  4. S. Huzinaga, Prog. Theor. Phys. 15 (1956), 495[PTP].
  5. D. Bohm and D. Pines, Phys. Rev. 92 (1953), 609[APS].
  6. S. Tomonaga, Prog. Theor. Phys. 13 (1954), 467[PTP]; ibid. 13 (1954), 482[PTP].
  7. G. Araki, S. Tutihasi and W. Watari, Prog. Theor. Phys. 6 (1951), 135[PTP]; ibid. 6 (1951), 945[PTP]; ibid. 6 (1951), 961[PTP].
  8. S. Tomonaga, Prog. Theor. Phys. 5 (1950), 544[PTP].
  9. H. Bethe, Geiger-Scheel's Handb. der Phys. 24/1 (1933), 339.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 16 No. 3 (1956) pp. 212-221 :
    Free-Electron Model of Benzene
    Gentaro Araki
  2. Progress of Theoretical Physics Vol. 18 No. 6 (1957) pp. 649-660 :
    Electronic Energy Levels of Polyene Chains
    Sigeru Huzinaga and Tasuke Hasino
  3. Progress of Theoretical Physics Vol. 22 No. 4 (1959) pp. 469-484 :
    2 3,1P State of Helium Atom
    Gentaro Araki, Koichi Mano and Masao Ohta
  4. Progress of Theoretical Physics Vol. 52 No. 6 (1974) pp. 1721-1736 :
    Theoretical Study of Optical Absorption Curves of Molecules. IV
    Toshiaki Kakitani

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