2020/03/11 by Francisco M. Fernández, Fernández, Francisco M.
Computer Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.2003.05538
openalex publication_date 2020/03/11 · arxiv created 2020/03/29 · arxiv updated 2020/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the diagonalization of a general Hamiltonian operator for a set of coupled harmonic oscillators and determine the conditions for the existence of bound states. We consider the particular cases of two and three oscillators studied previously and show the conditions for bound states in the latter example that have been omitted in an earlier treatment of this model.