1998/11/30 by S. M. Roy, S.M. Roy, Virendra Singh
Computer Science · Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Information and Cryptography #Quantum Mechanics and Applications #gr-qc #hep-th #quant-ph
paper · pdf · doi:10.1016/s0375-9601(99)00186-3
published as Phys.Lett. A255 (1999) 201-208 · Published version
openalex publication_date 1999/05/01 · arxiv created 1999/10/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We recently constructed a causal quantum mechanics in 2 dim. phase space which is more realistic than the de Broglie-Bohm mechanics as it reproduces not just the position but also the momentum probability density of ordinary quantum theory. Here we present an even more ambitious construction in 2n dim. phase space. We conjecture that the causal Hamiltonian quantum mechanics presented here is `maximally realistic'. The positive definite phase space density reproduces as marginals the correct quantum probability densities of n+1 different complete commuting sets of observables (e.g. q, p and n-1 other sets). In general the particle velocities do not coincide with the de Broglie-Bohm velocities.