2014/10/31 by Peter Holland · 2 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1007/s10701-014-9852-7
published as Found. Phys. 45, 134 (2015) · 8 pages. V2 cosmetic changes
arxiv created 2014/11/13 · crossref issued 2014/11/18 · crossref published 2014/11/18 · crossref published-online 2014/11/18 · openalex publication_date 2014/11/18 · crossref created 2014/11/21 · crossref published-print 2015/02/01 · arxiv updated 2018/08/23 · crossref deposited 2019/05/30 · openalex created_date 2025/10/10 · crossref indexed 2026/03/19 · openalex updated_date 2026/07/29
It is known that the Schroedinger equation may be derived from a hydrodynamic model in which the Lagrangian position coordinates of a continuum of particles represent the quantum state. Using Routh\s method of ignorable coordinates it is shown that the quantum potential energy of particle interaction that represents quantum effects in this model may be regarded as the kinetic energy of additional concealed freedoms. The method brings an alternative perspective to Planck\s constant, which plays the role of a hidden variable, and to the canonical quantization procedure, since what is termed kinetic energy in quantum mechanics may be regarded literally as energy due to motion.