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Ibnu Jihad
Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada
Astronomy Earth & Planetary Sciences Education Energy Physics

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Tinjauan Singularitas Ruang-waktu dalam Teori Relativitas Umum menggunakan Software Maxima Ibnu Jihad; Devy Pramudyah Wardhani; Muhammad Farchani Rosyid
Jurnal Fisika Indonesia Vol 22, No 1 (2018)
Publisher : Department of Physics Universitas Gadjah Mada

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22146/jfi.v22i1.53836

Abstract

Singularitas ruang-waktu pada teori relativitas umum telah ditinjau. Definisi singularitas telah diperjelas menggunakan kriteria singularitas berdasarkan skalar Kretschmann. Letak Daerah singularitas pada tiga jenis ruang-waktu pun telah diketahui berdasarkan perhitungan skalar Kretschmann menggunakan software gratis Maxima yang sangat mempermudah perhitungannya. Tiga jenis ruang-waktu itu adalah ruang-waktu bermetrik Schwarzschild, ruang-waktu bermetrik Reissner-Nordstorm, serta ruang-waktu bermetrik Robertson-Walker dengan model alam semesta Einstein-de Sitter.
A Review Of The Linear Response Function In Condensed Matter Physics And Their Application In Some Elementary Processes Ibnu Jihad; Kamsul Abraha
Jurnal Fisika Indonesia Vol 20, No 3 (2016)
Publisher : Department of Physics Universitas Gadjah Mada

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22146/jfi.v20i3.56138

Abstract

Linear response theory in quantum theory with its linear response function and its quantization process has been formulated. The relation between the linear response function with its generalized susceptibility, its symmetry properties, and its analyticity has been studied. These properties produce the dispersion relation or Kramers-Kronig relation. The explicit form of the quantum response function and generalized susceptibility also been reviewed. Applications of linear response functions have been described for three elementary processes. The process discussed is the magnetic field disturbance in the magnetic system that generates magnetic susceptibility, and the electric field disturbance in the electrical system that generates electrical conductivity tensor and the ferromagnet Heisenberg that generates its generalized susceptibility.
Co-Authors Devy Pramudyah Wardhani Kamsul Abraha Muhammad Farchani Rosyid