Jurnal Fisika : Fisika Sains dan Aplikasinya
Vol 5 No 2 (2020): Jurnal Fisika : Fisika Sains dan Aplikasinya

A QUADRATIC-QUARTIC-QUINTIC (QQQ) PERTURBATION ON HARMONIC OSCILLATOR: HAMILTONIAN MATRIX REPRESENTATION

Herry F. Lalus (Universitas Nusa Cendana)

Article Info

Publish Date
22 Oct 2020

Abstract

Abstract This paper discusses a one-dimensional harmonic oscillator system subjected to simultaneous quadratic-quartic-quintic perturbation. The main objective of this paper is to calculate the matrix representation of its Hamiltonian. To keep more generally, these three perturbation terms use different small parameters. The method used in this paper is the standard algebraic method using Dirac notation with the bases that have also been shown. The results of the analysis that has been carried out, it is obtained in the form of the Hamiltonian matrix representation of this system which contains the three different small parameters. If the three parameters are chosen to be zero (without perturbation), the matrix form will be reduced to a standard harmonic oscillator matrix.Keywords: QQQ perturbation; harmonic oscillator, Hamiltonian matrix representation.

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Journal Info
Jurnal Fisika : Fisika Sains dan Aplikasinya
Website

Abbrev

FISA

Publisher

Universitas Nusa Cendana

Subject

Astronomy Earth & Planetary Sciences Electrical & Electronics Engineering Materials Science & Nanotechnology Physics

Description

Jurnal Fisika – Fisika Sains dan Aplikasinya diterbitkan oleh Jurusan Fisika, Fakultas Sains dan Teknk - Universitas Nusa Cendana secara berkala (setiap 6 bulan) yaitu setiap bulan April dan Oktober, dengan tujuan untuk menyebarluaskan hasil penelitian, pengkajian, dan pengembangan bidang Fisika ...