dorsal/arxiv
View SchemaDynamical methods of investigation in application to the Dirac particle
| Authors | Yuri A. Rylov |
|---|---|
| Categories | |
| ArXiv ID | physics/0507084 |
| URL | https://arxiv.org/abs/physics/0507084 |
Abstract
The Dirac particle S_D is investigated by means of dynamic methods, i.e. without a use of the principles of quantum mechanics. It is shown that the Pauli particle S_P and the nonrelativistic approximation S_{nD} of the Dirac particle S_D are different dynamic systems. S_{nD} contains the high frequency degrees of freedom, which are absent in the dynamic system S_P. It means that the nonrelativistic Dirac particle S_{nD} is composite (i.e. it has internal degrees of freedom), whereas the Pauli particle S_P is a pointlike particle with the spin. In the absence of the electromagnetic field the world line of the classical Pauli particle S_{Pcl} is a timelike straight, whereas that of the classical nonrelativistic Dirac particle S_{nDcl} is a helix. The characteristic frequency $\Omega =2mc^{2}/\hbar $ of this helix is the threshold frequency of the pair production. Using dynamic methods, one shows freely that the Copenhagen interpretation, when the wave function is a specific quantum object describing the state of individual particle, is incompatible with the quantum mechanics formalism. Besides, it is shown that the momentum distribution in quantum mechanics is in reality the mean momentum distribution. Effectiveness of different investigation strategies is discussed and compared.
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"abstract": "The Dirac particle S_D is investigated by means of dynamic methods, i.e.\nwithout a use of the principles of quantum mechanics. It is shown that the\nPauli particle S_P and the nonrelativistic approximation S_{nD} of the Dirac\nparticle S_D are different dynamic systems. S_{nD} contains the high frequency\ndegrees of freedom, which are absent in the dynamic system S_P. It means that\nthe nonrelativistic Dirac particle S_{nD} is composite (i.e. it has internal\ndegrees of freedom), whereas the Pauli particle S_P is a pointlike particle\nwith the spin. In the absence of the electromagnetic field the world line of\nthe classical Pauli particle S_{Pcl} is a timelike straight, whereas that of\nthe classical nonrelativistic Dirac particle S_{nDcl} is a helix. The\ncharacteristic frequency $\\Omega =2mc^{2}/\\hbar $ of this helix is the\nthreshold frequency of the pair production. Using dynamic methods, one shows\nfreely that the Copenhagen interpretation, when the wave function is a specific\nquantum object describing the state of individual particle, is incompatible\nwith the quantum mechanics formalism. Besides, it is shown that the momentum\ndistribution in quantum mechanics is in reality the mean momentum distribution.\nEffectiveness of different investigation strategies is discussed and compared.",
"arxiv_id": "physics/0507084",
"authors": [
"Yuri A. Rylov"
],
"categories": [
"physics.gen-ph"
],
"title": "Dynamical methods of investigation in application to the Dirac particle",
"url": "https://arxiv.org/abs/physics/0507084"
},
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