2003/11/30 by Ward Struyve, W. Struyve, W. De Baere +3 · 6 citations
Computer Science · Mathematics · Physics and Astronomy · #Ambiguity #Boson #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #De Broglie–Bohm theory #Mathematical analysis #Mathematics #Momentum (technical analysis) #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum dynamics #Quantum mechanics #Relativistic quantum mechanics #Spin (aerodynamics) #Theoretical physics #Uniqueness #quant-ph
paper · pdf · doi:10.1016/j.physleta.2004.01.010
published as Phys. Lett. A 322, 84-95 (2004) · 19 pages, no figures, LaTex, shortened version for Phys. Lett. A
openalex publication_date 2004/01/22 · arxiv created 2004/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.