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Prog. Theor. Phys. Vol. 8 No. 6 (1952) pp. 655-668

[ Full Text PDF : FREE ACCESS (849K) ]

A Quantum Theory of Boson Assemblies, I

Toshiyuki Nishiyama

Department of Physics, Osaka University

(Received October 15, 1952)

Abstract:

Here we study the temporal evolution of boson assemblies. The equations of the density matrix and of the phase space distribution function are given in the scheme of second quantization. We introduce the velocity operator whose algebraic properties are examined and we intend to reformulate the conventional quantum mechanics in terms of the amplitude operator R(x) and the velocity operator v(x). The hamiltonian of the system is expressed in terms of these two operators aside from surface effects.


URL : http://ptp.ipap.jp/link?PTP/8/655/
DOI : 10.1143/PTP.8.655

[ Full Text PDF : FREE ACCESS (849K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 9 No. 3 (1953) pp. 245-267 :
    A Quantum Theory of Boson Assemblies, II
    Toshiyuki Nishiyama
  2. Progress of Theoretical Physics Vol. 12 No. 3 (1954) pp. 265-278 :
    A Hydrodynamical Description of Many Bose Particle Systems
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  3. Progress of Theoretical Physics Vol. 13 No. 5 (1955) pp. 467-481 :
    Elementary Theory of Quantum-Mechanical Collective Motion of Particles, I
    Sin-itiro Tomonaga
  4. Progress of Theoretical Physics Vol. 18 No. 4 (1957) pp. 357-366 :
    A Lattice Model of Liquid Helium, III
    Hirotsugu Matsuda
  5. Progress of Theoretical Physics Vol. 24 No. 5 (1960) pp. 991-1012 :
    Collective Representation of the Many-Particle System Interacting through Arbitrary Two-Body Potential
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  6. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 427-429 :
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  7. Progress of Theoretical Physics Vol. 27 No. 3 (1962) pp. 600-607 :
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  8. Progress of Theoretical Physics Vol. 38 No. 5 (1967) pp. 1062-1082 :
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  9. Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1264-1266 :
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  10. Progress of Theoretical Physics Vol. 52 No. 6 (1974) pp. 1784-1797 :
    A Long-Range Attractive Interaction of Rotons in Superfluid 4He
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  11. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1243-1266 :
    On the Collective Variables in Many-Boson System
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  12. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 384-395 :
    Ground-State Energy of a Many-Boson System
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  13. Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 375-395 :
    A Microscopic Theory of the Interacting Bose System
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  14. Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1248-1264 :
    Bose-Einstein Condensation and the Canonical Conjugates to the Density Fluctuations
    Shuichiro Yamasaki and Masahiko Hirooka
  15. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1565-1576 :
    Momentum Distribution and Ground-State Energy of Liquid 4He at the Absolute Zero Temperature
    Toshiyuki Nishiyama and Yoiti Watanabe
  16. Progress of Theoretical Physics Vol. 67 No. 3 (1982) pp. 726-742 :
    On the Hydrodynamical Model for a Bose Liquid at T=0
    Masakazu Ichiyanagi and Masato Ohya
  17. Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1482-1503 :
    Quasi-Particle Description of a Degenerate System of Bosons
    Masahiko Hirooka and Shuichiro Yamasaki

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