2016/05/26 by Antonio Sciarretta, Sciarretta, Antonio
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #Fractal and DNA sequence analysis #General Physics (physics.gen-ph) #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1605.08232
openalex publication_date 2016/05/26 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
This paper presents a simple model that mimics quantum mechanics (QM) results\nwithout using complex wavefunctions or non-localities. The proposed model only\nuses integer-valued quantities and arithmetic operations, in particular\nassuming a discrete spacetime under the form of a Euclidean lattice. The\nproposed approach describes individual particle trajectories as random walks.\nTransition probabilities are simple functions of a few quantities that are\neither randomly associated to the particles during their preparation, or stored\nin the lattice nodes they visit during the walk. Non-relativistic QM\npredictions are retrieved as probability distributions of similarly-prepared\nensembles of particles. The scenarios considered to assess the model comprise\nof free particle, constant external force, harmonic oscillator, particle in a\nbox, and the Delta potential.\n