2014/04/12 by Mehdi Hage-Hassan, Hage-Hassan, Mehdi
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.1404.3926
openalex publication_date 2014/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We determine the generating function of the harmonic oscillator by a new method. Using this generating function we derive the eigenfunctions of the moment p. We find that the normalization of these eigenfunctions is a real and not complex number with phase factor chosen equal one (standard books of quantum mechanics). We prove that the integral of the delta function is equal to one and we derive the oscillator propagator.