|
| related topics |
| {field, particle, equation} |
| {spin, pulse, spins} |
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On the uniqueness of paths for spin-0 and spin-1 quantum mechanics
W. Struyve, W. De Baere, J. De Neve, S. De Weirdt
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0311098
- categories:
- quant-ph
- comments:
- 19 pages, no figures, LaTex, shortened version for Phys. Lett. A
- doi:
- 10.1016/j.physleta.2004.01.010
- arxiv_id:
- quant-ph/0311098
- journal_ref:
- Phys. Lett. A 322, 84-95 (2004)
- created:
- 2003-11-14
- updated:
- 2004-02-23
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