2010/12/30 by C. A. M. de Melo, de Melo, C. A. M., B. M. Pimentel +4
Mathematics · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-th #math-ph #math.MP #physics.atom-ph #quant-ph
paper · pdf · doi:10.48550/arxiv.1101.0025
7 pages
arxiv created 2010/12/30 · openalex publication_date 2010/12/30 · arxiv updated 2015/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using Schwinger Variational Principle we solve the problem of quantum harmonic oscillator with time dependent frequency. Here, we do not take the usual approach which implicitly assumes an adiabatic behavior for the frequency. Instead, we propose a new solution where the frequency only needs continuity in its first derivative or to have a finite set of removable discontinuities.