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Prog. Theor. Phys. Vol. 18 No. 6 (1957) pp. 573-590

[ Full Text PDF : FREE ACCESS (1305K) ]

Description of Pauli Matter as a Continuous Assembly of Small Rotating Bodies

Takehiko Takabayasi and Jean-Pierre Vigier

Institut Henri Poincaré, Paris

(Received June 3, 1957)

Abstract:

The method of Kramers to represent a two-component spinor is revised and developed into a consequent formulation of the quantum mechanical theory of a non-relativistic spinning particle (§4).
Furthermore the method is unified with the hydrodynamical representation of the Pauli electron theory established in the previous article, giving the picture of the Pauli field as an assembly of very small rotating bodies (distinct from usual rigid bodies) continuously distributed in space (§3). The formalistic and physical features of these new representations are considered.
Also some remarks are given on the characteristics of the former hydrodynamical formulation (§2). Particularly it is pointed out that Planck's constant enters this scheme only as the constant signifying the magnitude of the spin.


URL : http://ptp.ipap.jp/link?PTP/18/573/
DOI : 10.1143/PTP.18.573

[ Full Text PDF : FREE ACCESS (1305K) ] Citation:

References:

  1. T. Takabayasi, Prog. Theor. Phys. 14 (1955), 283[PTP];
    See also T. Takabayasi, Prog. Theor. Phys. 12 (1954), 810[PTP]; Soryushiron Kenkyu 7 (1955), 600;
    J. Yvon, Rev. Scientifique 79 (1940), 210.
  2. H. A. Kramers, Quantentheorie des Elektrons und der Strahlung (Akad. Verlagsgesellschaft. Leipzig, 1938), 259.
  3. D. Bohm, R. Schiller and J. Tiomno, Nuovo Cim. Suppl. 1 (1955), 48.
  4. C. Herring and C. Kittel, Phys. Rev. 81 (1951), 869[APS].
  5. T. Takabayasi, Prog. Theor. Phys. 8 (1932), 143[PTP].
  6. T. Nakano, Prog. Theor. Phys. 15 (1956), 333[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 23 No. 3 (1960) pp. 496-511 :
    Relativistic Rotators and Bilocal Theory
    David Bohm, Pierre Hillion, Takehiko Takabayasi and Jean-Pierre Vigier
  2. Progress of Theoretical Physics Vol. 36 No. 1 (1966) pp. 72-85 :
    A New Derivation of Classical Models of the Spinning Electron from the WKB Solutions to the Pauli and Dirac Equations
    Hisaiti Yamasaki
  3. Progress of Theoretical Physics Vol. 69 No. 5 (1983) pp. 1323-1344 :
    Hydrodynamical Formalism of Quantum Mechanics and Aharonov-Bohm Effect
    Takehiko Takabayasi
  4. Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 1-17 :
    Vortex, Spin and Triad for Quantum Mechanics of Spinning Particle.I
    Takehiko Takabayasi

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