SOLUTION OF HARMONIC OSCILLATOR OF NONLINEAR MASTER SCHRÖDINGER

T B Prayitno(1),

DOI: https://doi.org/10.15294/jf.v1i2.1644


(1) Physics Department, Universitas Negeri Jakarta Jl. Pemuda Rawamangun No. 10

Abstract

We have computed the solution of a nonrelativistic particle motion in a harmonic oscillator potential of the nonlinear master Schrödinger equation. The equation itself is based on two classical conservation laws, the Hamilton-Jacobi and the continuity equations. Those two equations give each contribution for the definition of quantum particle. We also prove that the solution can’t be normalized.

 

Keywords : harmonic oscillator, nonlinear Schrödinger.

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