On the uniqueness of paths for spin-0 and spin-1 quantum mechanics
arXiv:quant-ph/0311098 · doi:10.1016/j.physleta.2004.01.010
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.
19 pages, no figures, LaTex, shortened version for Phys. Lett. A
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- On the Quantum-Mechanics of a Single Photon
- Corroborating the equivalence between the Duffin-Kemmer-Petiau and the Klein-Gordon and Proca equations
- Quantum non-equilibrium and relaxation to equilibrium for a class of de Broglie-Bohm-type theories
- On the quantum analogue of Galileo's leaning tower experiment
- Inconsistencies of a purported probability current in the Duffin-Kemmer-Petiau theory
- Spin dependent observable effect for free particles using the arrival time distribution
- Times of Arrival and Gauge Invariance
- Solving the transport without transit quantum paradox of the spatial adiabatic passage technique
- Quantum time of flight distribution for cold trapped atoms
- Observability of the arrival time distribution using spin-rotator as a quantum clock
- Quantitative probing of quantum-classical transition for the arrival time distribution
- Effect of quantum statistics on the gravitational weak equivalence principle
- Bohmian approach to spin-dependent time of arrival for particles in a uniform field and for particles passing through a barrier
- Wheeler-DeWitt quantization for point-particles
- Quantum interference in the time-of-flight distribution
- Quantum-classical comparison: arrival times and statistics