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All Journal SAINTIFIK@ : Jurnal Pendidikan MIPA Physical Sciences, Life Science and Engineering
Fadli, Rizqi
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Review Perumusan Teori Kapasitas Panas Einstein-Debye Menggunakan Integral Lintasan Feynman Achmad, Arifin; Muflihatun; Fadli, Rizqi
Physical Sciences, Life Science and Engineering Vol. 2 No. 1 (2024): December
Publisher : Indonesian Journal Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47134/pslse.v2i1.321

Abstract

Teori Einstein-Debye memberikan deskripsi mekanika kuantum tentang kalor jenis zat padat, khususnya pada suhu rendah. Secara tradisional, teori ini telah dirumuskan menggunakan kuantisasi mode getaran dalam kisi kristal. Dalam artikel ini, kami menyajikan formulasi teori Einstein-Debye dengan menggunakan integral lintasan Feynman. Formulasi ini memberikan gambaran yang lebih mendalam tentang mekanika statistik kuantum getaran kisi, yang menawarkan kerangka kerja terpadu untuk memperoleh kalor jenis zat padat. Dengan menggunakan integral lintasan, kami mengeksplorasi kontribusi berbagai mode getaran dan pengaruhnya terhadap sifat termodinamika zat padat, yang memberikan perspektif baru tentang model Einstein dan Debye dalam satu teori yang koheren.
Studi Energi Hartree-Fock dan Korelasi untuk Keadaan Singlet dan Triplet 1s2s dari Ion Mirip Helium Fadli, Rizqi; Ligasetiawan, Valerius Evan
SAINTIFIK@: Jurnal Pendidikan MIPA Vol 10, No 1 (2025): SAINTIFIK@: Jurnal Pendidikan MIPA EDISI MARET 2025
Publisher : Universitas Khairun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33387/saintifik.v10i1.9772

Abstract

In this study, we calculate the energies of the 1s2s singlet and triplet states of an atom with nuclear charge Z by expressing them as a series expansion in ascending powers of 1/Z. The correlation energy, which represents the difference between the exact and mean-field descriptions of electron interactions, is determined by comparing the results obtained from the perturbation method with those calculated using the Hartree-Fock (HF) method. The Hartree-Fock energies are computed by solving an integro-differential equation, and the associated wave functions are obtained through the application of Laplace transformation techniques. To further support the calculation, the integral expressions for the Hartree-Fock energies per electron state are evaluated numerically using MATLAB. This approach enables a systematic analysis of electron correlation effects as a function of the nuclear charge, providing insights into the accuracy and limitations of mean-field approximations for two-electron atomic systems.
Co-Authors Achmad, Arifin Ligasetiawan, Valerius Evan Muflihatun