dorsal/arxiv
View SchemaDynamic disquantization of Dirac equation
| Authors | Yuri A. Rylov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0104060 |
| URL | https://arxiv.org/abs/quant-ph/0104060 |
Abstract
Classical model S_dc of Dirac particle S_D is constructed. S_D is the dynamic system described by the Dirac equation. Its classical analog S_dc is described by a system of ordinary differential equations, containing the quantum constant h as a parameter. Dynamic equations for S_dc are determined by the Dirac equation uniquely. Both dynamic systems S_D and S_dc appear to be nonrelativistic. One succeeded in transforming nonrelativistic dynamic system S_dc into relativistic one S_dcr. The dynamic system S_dcr appears to be a two-particle structure (special case of a relativistic rotator). It explains freely such properties of S_D as spin and magnetic moment, which are strange for pointlike structure. The rigidity function f_r(a), describing rotational part of total mass as a function of the radius $a$ of rotator, has been calculated for S_dcr. For investigation of S_D and construction of S_dc one uses new dynamic methods: dynamic quantization and dynamic disquantization. These relativistic pure dynamic procedures do not use principles of quantum mechanics (QM). They generalize and replace conventional quantization and transition to classical approximation. Totality of these methods forms the model conception of quantum phenomena (MCQP). Technique of MCQP is more subtle and effective, than conventional methods of QM. MCQP relates to conventional QM, much as the statistical physics relates to thermodynamics.
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"abstract": "Classical model S_dc of Dirac particle S_D is constructed. S_D is the dynamic\nsystem described by the Dirac equation. Its classical analog S_dc is described\nby a system of ordinary differential equations, containing the quantum constant\nh as a parameter. Dynamic equations for S_dc are determined by the Dirac\nequation uniquely. Both dynamic systems S_D and S_dc appear to be\nnonrelativistic. One succeeded in transforming nonrelativistic dynamic system\nS_dc into relativistic one S_dcr. The dynamic system S_dcr appears to be a\ntwo-particle structure (special case of a relativistic rotator). It explains\nfreely such properties of S_D as spin and magnetic moment, which are strange\nfor pointlike structure. The rigidity function f_r(a), describing rotational\npart of total mass as a function of the radius $a$ of rotator, has been\ncalculated for S_dcr. For investigation of S_D and construction of S_dc one\nuses new dynamic methods: dynamic quantization and dynamic disquantization.\nThese relativistic pure dynamic procedures do not use principles of quantum\nmechanics (QM). They generalize and replace conventional quantization and\ntransition to classical approximation. Totality of these methods forms the\nmodel conception of quantum phenomena (MCQP). Technique of MCQP is more subtle\nand effective, than conventional methods of QM. MCQP relates to conventional\nQM, much as the statistical physics relates to thermodynamics.",
"arxiv_id": "quant-ph/0104060",
"authors": [
"Yuri A. Rylov"
],
"categories": [
"quant-ph"
],
"title": "Dynamic disquantization of Dirac equation",
"url": "https://arxiv.org/abs/quant-ph/0104060"
},
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