dorsal/arxiv
View SchemaThe Electromagnetic Coupling in Kemmer-Duffin-Petiau Theory
| Authors | Marek Nowakowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9801020 |
| URL | https://arxiv.org/abs/quant-ph/9801020 |
| DOI | 10.1016/S0375-9601(98)00365-X |
| Journal | Phys.Lett. A244 (1998) 329-337 |
Abstract
We analyse the electromagnetic coupling in the Kemmer-Duffin-Petiau (KDP) equation. Since the KDP--equation which describes spin-0 and spin-1 bosons is of Dirac-type, we examine some analogies and differences from the Dirac equation. The main difference to the Dirac equation is that the KDP equation contains redundant components. We will show that as a result certain interaction terms in the Hamilton form of the KDP equation do not have a physical meaning and will not affect the calculation of physical observables. We point out that a second order KDP equation derived by Kemmer as an analogy to the second order Dirac equation is of limited physical applicability as (i) it belongs to a class of second order equations which can be derived from the original KDP equation and (ii) it lacks a back-transformation which would allow one to obtain solutions of the KDP equation out of solutions of the second order equation. We therefore suggest a different higher order equation which, as far as the solutions for the wave functions are concerned, is equivalent to the orginal first order KDP wave equation.
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"abstract": "We analyse the electromagnetic coupling in the Kemmer-Duffin-Petiau (KDP)\nequation. Since the KDP--equation which describes spin-0 and spin-1 bosons is\nof Dirac-type, we examine some analogies and differences from the Dirac\nequation. The main difference to the Dirac equation is that the KDP equation\ncontains redundant components. We will show that as a result certain\ninteraction terms in the Hamilton form of the KDP equation do not have a\nphysical meaning and will not affect the calculation of physical observables.\nWe point out that a second order KDP equation derived by Kemmer as an analogy\nto the second order Dirac equation is of limited physical applicability as (i)\nit belongs to a class of second order equations which can be derived from the\noriginal KDP equation and (ii) it lacks a back-transformation which would allow\none to obtain solutions of the KDP equation out of solutions of the second\norder equation. We therefore suggest a different higher order equation which,\nas far as the solutions for the wave functions are concerned, is equivalent to\nthe orginal first order KDP wave equation.",
"arxiv_id": "quant-ph/9801020",
"authors": [
"Marek Nowakowski"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(98)00365-X",
"journal_ref": "Phys.Lett. A244 (1998) 329-337",
"title": "The Electromagnetic Coupling in Kemmer-Duffin-Petiau Theory",
"url": "https://arxiv.org/abs/quant-ph/9801020"
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