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Jurnal Penelitian Fisika dan Aplikasinya (JPFA)
Published by Universitas Negeri Surabaya
ISSN : 20879946     EISSN : 24771775     DOI : https://doi.org/10.26740/jpfa
Core Subject : Science, Education,
Astronomy Earth & Planetary Sciences Education Materials Science & Nanotechnology Physics
Jurnal Penelitian Fisika dan Aplikasinya (JPFA) is available for free (open access) to all readers. The articles in JPFA include developments and researches in Physics Education, Classical Physics, and Modern Physics (theoretical studies, experiments, and its applications), including: Physics Education (Innovation of Physics Learning, Assessment and Evaluation in Physics, Media of Physics, Conception and Misconceptions in Physics, hysics Philosophy anPd Curriculum, and Psychology in Physics Education); Instrumentation Physics and Measurement (Sensor System, Control System, Biomedical Engineering, Nuclear Instrumentation); Materials Science (Synthesis and Characteristic Techniques, Advanced Materials, Low Temperature Physics, and Exotic Material); Theoretical and Computational Physics (High Energy Physics, Gravitation and Cosmology, Astrophysics, Nuclear and Particle Phenomenology, and Computational and Non-Linear Physics); and Earth Sciences (Geophysics and Astronomy).
Arjuna Subject : Fisika dan Astronomi - Fisika dan Astronomi (Lain-Lain)
Articles 441 Documents
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Analytic Method And Matrix Diagonalization On Eigen System Of Hermitian Matrix Operator Bambang Supriadi; Anggraeni, Sisilia Nur Hikmah Anggraeni; Badriyah; Fidia Alhikmah Putri; Puput Aprilia Eka Sari; Indah Selviandri; May Yani br Sembiring
Jurnal Penelitian Fisika dan Aplikasinya (JPFA) Vol. 15 No. 1 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jpfa.v15n1.p40-51

Abstract

The solution of the Hermitian eigenoperator matrix problem produces an eigensystem consisting of eigenvalues ​​and eigenvectors. This study aims to determine the complete solution of the eigensystem and the diagonalization of the Hermitian order matrix operator.  analytically. The results of the study show that every eigenproblem in the Hermitian matrix operator  generate several eigenvalues  according to the order of the matrix operator, the eigenvalues ​​are real numbers. Eigenvectors,  of the Hermitian matrix operators are orthogonal because  and   thus forming a basis matrix  and is unitary. A Hermitian matrix can be diagonalized through its basis matrices and a diagonal matrix is ​​obtained.  whose diagonal elements are the eigenvalues ​​of the Hermitian operator.

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