Oscillator representations and systems of ordinary differential equations

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152Using representation-theoretic methods, we determine the spectrum of the 2 × 2 system [Formula: see text] with A, B ∈ Mat(2)(ℝ) constant matrices such that A = (t)A > 0 (or <0), B = −(t)B ≠ 0, and the Hermitian matrix A + iB positive (or negative) definite. We also give results that generalize (in a possible direction) the main construction.Copyright © 2001, The National Academy of SciencesPhysical SciencesOscillator representations and systems of ordinary differential equationsText