- Autor(in)
- Referenz
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10 Madhava Rao, B. S., Proc. Ind. Acad. Sci. 15 (1942) 139.
11 Harish-Chandra, Physic. Rev. 71 (1947) 793.
12 Bhabha, H. J., Rev. mod. Physics 17 (1945) 200.
1 Lovelock, D., Nuovo Cimento 29 (1963) 1126.
2 Hönl, H., Feldmechanik des Elektrons und Elementarteilchen, Ergebn. exakt. Naturwiss., Bd. 26 (Springer 1952).
3 Rund, H., Ann. Physik 7 (1961) 7.
4 Mathisson, M., Acta Phys. Polonica 6 (1937) 163.
5 Gürsey, F., Nuovo Cimento 5 (1957) 784.
6 Corben, H., Nuovo Cimento 20 (1961) 529.
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8 Lovelock, D., Ann. Physik 12 (1964) 361.
9 Romain, P., Theory of Elementary Particles (North-Holland 1960).
- Seitenbereich
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0234 - 0243
- Zusammenfsg.
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In the present note we consider the consequences of invoking the requirement that the wave equation characterises particles with several distinct rest mass values instead of unique rest mass values. A third set of conditions (III) is then deduced (which are to replace II) and these also depend on an integral parameter <I>n.</I> From I and III the MADHAVA RAO commutation relations for particles of spin ± 3/2ħ and ±2ħ are then derived by choosing <I>n</I> = 4 and <I>n</I> = 5 respectively. In addition the rest mass values deduced by BHABHA from an alternative viewpoint arise quite naturally.
Starting from a purely classical (relativistic) theory it is possible to develop a quantisation scheme which automatically gives rise to the relativistic wave equation, the usual spin operators and a condition (I) on certain operators. By demanding that this wave equation characterises particles with unique rest mass values, a second set of conditions (II) is derived, depending on an integral parameter <I>n.</I> From I and II the relations which constitute the Dirac electron and Kemmer meson theories are obtained in full by choosing <I>n</I> = 2 and <I>n</I> = 3 respectively.
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