We propose that the acoustic pressure could be treated as a scalar field and acoustic could be treated as an Abelian U(1) local gauge theory.
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Draf rintisan paling awal. Berisi materi matematika yang dimanfaatkan penulis dalam studi dan penelitian fisika-matematika. Saran, masukan, koreksi dan tanggapan bisa dilayangkan ke alamat email: \textit{itpm.id@gmail.com}. Insyaallah,... more
Draf rintisan paling awal. Berisi materi matematika yang dimanfaatkan penulis dalam studi dan penelitian fisika-matematika. Saran, masukan, koreksi dan tanggapan bisa dilayangkan ke alamat email: \textit{itpm.id@gmail.com}. Insyaallah, draf ini terus diupayakan untuk dilengkapi, diperbaiki. Semoga berguna.
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We examine non-linear sigma (plus Skyrme term) model in flat space, in particular with a twist, which comprises a twisted Skyrmion string solution with an added dependence on a twist term $mkz$, where $z$ is the vertical coordinate. We... more
We examine non-linear sigma (plus Skyrme term) model in flat space, in particular with a twist, which comprises a twisted Skyrmion string solution with an added dependence on a twist term $mkz$, where $z$ is the vertical coordinate. We find that the solutions have asymptotic form. We also find that mass per unit length of string, $\mu$, increases roughly linearly with $\zeta$, where $\zeta=4\lambda^2K_s(mk)^2$, $\lambda$ is scaling constant, $K_s$ is Skyrme term, $m$ is integrer and $k$ is wave number.
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We study nonlinear sigma model, especially Skyrme model without twist and Skyrme model with twist: twisted Skyrme model. Twist term, $mkz$, is indicated in vortex solution. We are interested to construct a space-time containing a string... more
We study nonlinear sigma model, especially Skyrme model without twist and Skyrme model with twist: twisted Skyrme model. Twist term, $mkz$, is indicated in vortex solution. We are interested to construct a space-time containing a string with Lagrangian plus a twist. To add gravity, we replace $\eta^{\mu\nu}$ in Lagrangian system with $g^{\mu\nu}$ where $g^{\mu\nu}$ is the metric tensor of the space-time. We assume that space-time is static and cylindrically symmetric. Einstein equations are derived from Einstein-Hilbert action $I = \int{\sqrt{(-g)}(R+\kappa~\mathcal{L}_4)}~ d^{4}x$ where $R$ is Ricci scalar, $\kappa$ is coupling constant between gravity and matter, $\mathcal{L}_4$ is matter part of twisted Skyrme gravity model. This work is still in progress.
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The refractive index and curved space relation is formulated using the Riemann-Christoffel curvature tensor. As a consequence of the fourth rank tensor of the Riemann-Christoffel curvature tensor, the refractive index should be a second... more
The refractive index and curved space relation is formulated using the Riemann-Christoffel curvature tensor. As a consequence of the fourth rank tensor of the Riemann-Christoffel curvature tensor, the refractive index should be a second rank tensor. The second rank tensor of the refractive index describes a linear optics. In case of a non-linear optics, if susceptibility is a fourth rank tensor, then the refractive index is a sixth rank tensor. In a topological space, the linear and non-linear refractive indices are related to the Euler-Poincare characteristic. Because the Euler-Poincare characteristic is a topological invariant then the linear and non-linear refractive indices are also topological invariants.
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Draf awal buku yang membahas secara ringkas relativitas, khususnya teori relativitas khusus. Bahasan ini direncanakan untuk dikembangkan hingga teori relativitas umum.
It will be discussed in very short: open state of DNA, genetic information, non-linearity in hydrogen bonding, DNA, mutation and disease, genetic mutation and soliton.
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Dibahas secara ringkas atom berelektron tunggal dan atom berelektron banyak. Bahasan ini direncakan sebagai buku pengantar fisika kuantum.
Dibahas secara ringkas dualisme partikel-gelombang. Bahasan ini direncanakan sebagai buku pengantar mekanika kuantum.
Draf kasar tentang analisa tensor yang diambil secara ringkas dari buku ajar Mary L. Boas, ”Mathematical Methods in the Physical Sciences”.
Draf ini dalam tahap rintisan paling awal .. .
"Catatan Termodinamikaku" ini ide awalnya adalah kumpulan catatan termodinamika penulis sejak studi Sarjana Fisika hingga Master Fisika (tentunya catatan yang masih ada). Draf ini dalam tahap rintisan, masih sangat kasar... more
"Catatan Termodinamikaku" ini ide awalnya adalah kumpulan catatan termodinamika penulis sejak studi Sarjana Fisika hingga Master Fisika (tentunya catatan yang masih ada). Draf ini dalam tahap rintisan, masih sangat kasar sehingga pembaca mesti berhati-hati dengan kesalahan penulisan, sistematikanya yang masih acak maupun kesalahan interpretasi penulis. Masukan dan koreksi bisa dilayangkan di alamat email: itpm.id@gmail.com. Insyaallah, draf ini terus diupayakan untuk dilengkapi, diperbaiki. Semoga berguna .. .
Ini adalah catatan saya dalam bentuk yang masih sangat kasar dari kuliah "Fundamental Theoretical Physics" yang diberikan oleh Profesor Yongmin Cho saat musim semi 2011 di Kampus UNIST (Ulsan, Korea Selatan). Materi pelengkap... more
Ini adalah catatan saya dalam bentuk yang masih sangat kasar dari kuliah "Fundamental Theoretical Physics" yang diberikan oleh Profesor Yongmin Cho saat musim semi 2011 di Kampus UNIST (Ulsan, Korea Selatan). Materi pelengkap merujuk ke pustaka yang tertera di daftar pustaka.Pembaca budiman mesti berhati-hati dari kesalahan penulisan maupun kesalahan pemahaman saya terhadap materi kuliah. Soal dan penyelesaian soal (usaha saya untuk menyelesaikan soal) telah ditambahkan. Tak ada jaminan bahwa penyelesaian soal yang saya kerjakan adalah benar. Oleh karena itu pembaca yang budiman diharapkan untuk memeriksanya secara cermat, teliti. Materi kuliah ini, insya Allah akan terus dikembangkan, diperbaiki. Saran perbaikan, masukan, komentar, silakan dilayangkan ke alamat elektronik: itpm.id@gmail.com. Semoga berguna. Terima kasih beribu terima kasih .. .
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Kami mendiskusikan secara singkat dinamika non-linier DNA dan solusi Persamaan sine-Gordon.
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We review the work of Ranjit Kumar, R S Kaushal, Awadhesh Prasad. The work is still in progress.
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We review the paper of Y.M. Cho, et al\cite{cho} by focusing on the gauge theory of two-component Bose-Einstein condensates.
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This is my very rough typing of Professor Kibog Park’s lectures which was conducted on Spring 2011 at UNIST Campus (Ulsan, South Korea). Reader should be careful with my mistyping and misunderstanding of concepts. Problems and solutions... more
This is my very rough typing of Professor Kibog Park’s lectures which was conducted on Spring 2011 at UNIST Campus (Ulsan, South Korea). Reader should be careful with my mistyping and misunderstanding of concepts. Problems and solutions (my effort to solve the problems) are added. Reader should check it carefully. This material is still being developed.
The refractive index and curved space relation is formulated using the Riemann-Christoffel curvature tensor. As a consequence of the fourth rank tensor of the Riemann-Christoffel curvature tensor, we found that the refractive index should... more
The refractive index and curved space relation is formulated using the Riemann-Christoffel curvature tensor. As a consequence of the fourth rank tensor of the Riemann-Christoffel curvature tensor, we found that the refractive index should be a second rank tensor. The second rank tensor of the refractive index describes a linear optics. It implies naturally that the Riemann-Christoffel curvature tensor is related to the linear optics. In case of a non-linear optics, the refractive index is a sixth rank tensor, if susceptibility is a fourth rank tensor. The Riemann-Christoffel curvature tensor can be formulated in the non-linear optics but it is reduced by a gradient of susceptibility term.
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We investigate the propagation of electromagnetic waves in transverse magnetic (TM) mode through the structure of materials interface that have permittivity or permeability profile graded positive-negative using asymptotic iteration... more
We investigate the propagation of electromagnetic waves in transverse magnetic (TM) mode through the structure of materials interface that have permittivity or permeability profile graded positive-negative using asymptotic iteration method (AIM). As the optical character of materials, the permittivity and the permeability profiles have been designed from constant or hyperbolic functions. In this work we show the approximate solution of magnetic field distribution and the eight models of wave vector of materials or interface positive-negative gradation.
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The SU(2) Skyrme model is reviewed. The model, which considers hadron as soliton (Skyrmion), is used for investigating the nucleon mass and delta mass. ... Keywords: Skyrme model, soliton, hadron, nucleon mass, delta mass. ... A solitary... more
The SU(2) Skyrme model is reviewed. The model, which considers hadron as soliton (Skyrmion), is used for investigating the nucleon mass and delta mass. ... Keywords: Skyrme model, soliton, hadron, nucleon mass, delta mass. ... A solitary wave was discussed for the first time in 1845 by John Scott Russell in the ”Report of the British Association for the Advancement of Science”. Russell observed a solitary wave which was traveling along Edinburgh-Glasgow water channel, evoluted translationally without any changing in shape and speed for long ...