2005/01/21 by César R. de Oliveira, Cesar R. de Oliveira, Roberto A. Prado
Mathematics · Physics and Astronomy · #Bernoulli process #Bernoulli scheme #Bernoulli's principle #Dirac (video compression format) #Dirac equation #Dirac operator #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Spectral Theory in Mathematical Physics #Zero (linguistics) #math-ph #math.MP #msc:81Q10
paper · pdf · doi:10.1088/0305-4470/38/7/l02
9 pages, no figures - J. Physics A: Math. Gen
arxiv created 2005/01/21 · openalex publication_date 2005/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A 1D tight-binding version of the Dirac equation is considered; after checking that it recovers the usual discrete Schrödinger equation in the nonrelativistic limit, it is found that for two-valued Bernoulli potentials the zero-mass case presents the absence of dynamical localization for some specific values of the energy, albeit it has no continuous spectrum. For the other energy values (again excluding some very specific ones) the Bernoulli–Dirac system is localized, independently of the mass.