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Trajectory of the harmonic oscillator in the Schreodinger wave

2001/09/14 by Yoshio Nishiyama, Nishiyama, Yoshio
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Physics (physics.gen-ph) #Gyrotron and Vacuum Electronics Research #Physics Education (physics.ed-ph) #physics.ed-ph #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0109032

11pages, 3 figures;Latex2e, eps

arxiv created 2001/09/14 · openalex publication_date 2001/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A trajectory of a harmonic oscillator obeying the Schreodinger wave equation is exactly derived and illustrated. The trajectory resembles well the classical orbit between the turning points, and also runs through the tunneling region. The dynamics of the `particle' motion and the wave function associated with the motion are proposed. The period of a round trip on the trajectory is exactly equal to that obtained in classical mechanics.

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