dorsal/arxiv
View SchemaOn the uniqueness of paths for spin-0 and spin-1 quantum mechanics
| Authors | W. Struyve, W. De Baere, J. De Neve, S. De Weirdt |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311098 |
| URL | https://arxiv.org/abs/quant-ph/0311098 |
| DOI | 10.1016/j.physleta.2004.01.010 |
| Journal | Phys. Lett. A 322, 84-95 (2004) |
Abstract
The uniqueness of the Bohmian particle interpretation of the Kemmer equation, which describes massive spin-0 and spin-1 particles, is discussed. Recently the same problem for spin-1/2 was dealt with by Holland. It appears that the uniqueness of boson paths can be enforced under well determined conditions. This in turn fixes the nonrelativistic particle equations of the nonrelativistic Schrodinger equation, which appear to correspond with the original definitions given by de Broglie and Bohm only in the spin-0 case. Similar to the spin-1/2 case, there appears an additional spin-dependent term in the guidance equation in the spin-1 case. We also discuss the ambiguity associated with the introduction of an electromagnetic coupling in the Kemmer theory. We argue that when the minimal coupling is correctly introduced, then the current constructed from the energy-momentum tensor is no longer conserved. Hence this current can not serve as a particle probability four-vector.
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"abstract": "The uniqueness of the Bohmian particle interpretation of the Kemmer equation,\nwhich describes massive spin-0 and spin-1 particles, is discussed. Recently the\nsame problem for spin-1/2 was dealt with by Holland. It appears that the\nuniqueness of boson paths can be enforced under well determined conditions.\nThis in turn fixes the nonrelativistic particle equations of the\nnonrelativistic Schrodinger equation, which appear to correspond with the\noriginal definitions given by de Broglie and Bohm only in the spin-0 case.\nSimilar to the spin-1/2 case, there appears an additional spin-dependent term\nin the guidance equation in the spin-1 case. We also discuss the ambiguity\nassociated with the introduction of an electromagnetic coupling in the Kemmer\ntheory. We argue that when the minimal coupling is correctly introduced, then\nthe current constructed from the energy-momentum tensor is no longer conserved.\nHence this current can not serve as a particle probability four-vector.",
"arxiv_id": "quant-ph/0311098",
"authors": [
"W. Struyve",
"W. De Baere",
"J. De Neve",
"S. De Weirdt"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2004.01.010",
"journal_ref": "Phys. Lett. A 322, 84-95 (2004)",
"title": "On the uniqueness of paths for spin-0 and spin-1 quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0311098"
},
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