Abstract
<span>Solution of the harmonic oscillator equation has a goal to get the energy levels of particles <span>moving harmonic. The energy spectrums of one dimensional harmonic oscillator are <span>analyzed by 3 methods: path integral, hypergeometry and operator. Analysis of the energy <span>spectrum by path integral method is examined with Schrodinger equation. Analysis of the <span>energy spectrum by operator method is examined by Hamiltonian in operator. Analysis of <span>harmonic oscillator energy by 3 methods: path integral, hypergeometry and operator are <span>getting same results 𝐸 = ℏ𝜔 (𝑛 + <span>1 2<span>)</span></span></span></span></span></span><br /></span></span></span>
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