dorsal/arxiv
View SchemaAnderson's absolute objects and constant timelike vector hidden in Dirac matrices
| Authors | Yuri A. Rylov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112091 |
| URL | https://arxiv.org/abs/quant-ph/0112091 |
Abstract
Anderson's theorem asserting, that symmetry of dynamic equations written in the relativisitically covariant form is determined by symmetry of its absolute objects, is applied to the free Dirac equation. Dirac matrices are the only absolute objects of the Dirac equation. There are two ways of the Dirac matrices transformation: (1) Dirac matrices form a 4-vector and wave function is a scalar, (2) Dirac matrices are scalars and the wave function is a spinor. In the first case the Dirac equation is nonrelativistic, in the second one it is relativistic. Transforming Dirac equation to another scalar-vector variables, one shows that the first way of transformation is valid, and the Dirac equation is not relativistic
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"abstract": "Anderson\u0027s theorem asserting, that symmetry of dynamic equations written in\nthe relativisitically covariant form is determined by symmetry of its absolute\nobjects, is applied to the free Dirac equation. Dirac matrices are the only\nabsolute objects of the Dirac equation. There are two ways of the Dirac\nmatrices transformation: (1) Dirac matrices form a 4-vector and wave function\nis a scalar, (2) Dirac matrices are scalars and the wave function is a spinor.\nIn the first case the Dirac equation is nonrelativistic, in the second one it\nis relativistic. Transforming Dirac equation to another scalar-vector\nvariables, one shows that the first way of transformation is valid, and the\nDirac equation is not relativistic",
"arxiv_id": "quant-ph/0112091",
"authors": [
"Yuri A. Rylov"
],
"categories": [
"quant-ph"
],
"title": "Anderson\u0027s absolute objects and constant timelike vector hidden in Dirac matrices",
"url": "https://arxiv.org/abs/quant-ph/0112091"
},
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