A Quantization of a Spinor Field in the Generalized Hilbert Space

概要

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A quantization of a spinor field is analyzed on the basis of the general Lagrangian, which gives the Dirac equation, in the generalized Hilbert space. The Lagrangian is classified into three ; the first one is essentially equivalent to the Dirac one except for sign and is rather docile, the second is a new type and the field considered should be quantized essentially in an indefinite metric space, and the third is the Majorana one. It is also shown that the first field is a mixture of two definite or two indefinite Majorana fields and the second is a mixture of a definite and an indefinite Majorana fields. The expansion of a field in momentum space to get a particle interpretation is rather obvious for the first field but not for the second.
理論物理学刊行会の論文
1967-03-25