Relativistic Wave Equations for Particles with Internal Structure and Mass Spectrum
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概要
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We consider a class of wave equations which couple an infinite number of tensors or spinors of all ranks. Such a System of equations naturally possesses an infinite number of mass levels, and each eigenfunction implicitly contains a built-in form factor. Two simple examples of first order differential equations are examined. One is based on the set of all finite representations D(n / 2, n / 2) or (n / 2+s, n / 2)+D(n / 2, n / 2+s), n=0, 1, 2, ..., of the Lorentz group, and gives a mass spectrum resembling the hydrogeen atom, but probability densities and form factors are unphysical. The other model is based on a unitary representation of the group 0(4, 2), and has an inverted hydrogen-like spectrum. The latter corresponds to a generalization of a model first proposed by Majorana.
- 理論物理学刊行会の論文
著者
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Nambu Yoichiro
The Enrico Fermi Institute For Nuclear Studies And The Department Of Physics The University Of Chica
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Nambu Yoichiro
The Enrico Fermi Institute And Department Of Physics The University Of Chicago
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Nambu Yoichiro
The Enrico Fermi Institute For Nuclear Studies And The Department Of Physics The University Of Chicago
関連論文
- Quantum Electrodynamics in Nonlinear Gauge
- Directions of Particle Physics
- Relativistic Wave Equations for Particles with Internal Structure and Mass Spectrum
- Baryon Structure and Electromagnetic Properties