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Widagda, I Gusti Agung
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Penyelesaian Persamaan Schrodinger Tidak Bergantung Waktu Dengan Metode Finite Difference Widagda, I Gusti Agung; Artawan, I Nengah; Suharta, Wayan Gede; Antha Kasmawan, I Gde
Jurnal Fisika Flux: Jurnal Ilmiah Fisika FMIPA Universitas Lambung Mangkurat Vol 21, No 3 (2024): Jurnal Fisika Flux: Jurnal Ilmiah Fisika FMIPA Universitas Lambung Mangkurat
Publisher : Lambung Mangkurat University Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/flux.v21i3.19289

Abstract

The solution of time-independent Schrodinger equation (TISE) has been studied by several researchers. In this research, a TISE solution is found by using the finite difference method which is implemented in computer program code by using the Python language. TISE in the form of a second order differential equation is solved by using the finite difference method. In order to normalize the resulting wave function it is necessary to divide it by square root of the integral of the squared wave function. The integral method used is the Riemann method. In order to prove quantitatively that the TISE solution of the finite difference method is the same as or close to that of the analytical method, it is carried out by using linear regression and the z test. The research results show that the linear regression results from the two methods are nearly close. This is able to be seen from the values of  gradient (m), intercept (c) and coefficient of determination (R2) which are close to ideal values, namely, 1, 0 and 1, respectively. In addition, from the z test it is concluded that the null hypothesis H0 is accepted, which means the solution of finite difference method is equal to analytical solution by a confidence level of 95 percent.
Analisis Distribusi Dosis Radiasi terhadap Perencanaan Radioterapi Menggunakan Metode Segmentasi Citra pada Kasus Tumor Otak dengan Teknik Intensity Modulated Radiation Therapy (IMRT) Saputri, Izza Wahyu Saputri; Suryatika, Ida Bagus Made; Amelia, Cory; Sandi, I Nengah; Sumadiyasa, Made; Widagda, I Gusti Agung; Irhas, Rozi
Kappa Journal Vol 9 No 1 (2025): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v9i1.29562

Abstract

A study has been conducted on the effect of the number of segments on the radiation dose distribution of photon beams in brain tumor cases using the Intensity Modulated Radiation Therapy (IMRT) technique. This study used 20 primary data and 10 secondary data from brain tumor patients with 6 MV photon beams and a total dose of 6000 cGy. Calculations were performed by analyzing the Homogeneity Index (HI) and Conformity Index (CI) values as well as the radiation dose to the Organs at Risk (OAR), followed by statistical testing. Based on the conducted research, the results showed that HI and CI values for 5, 10, and 15 segments were different. For example, the HI value for 5 segments was more homogeneous, approaching 0, and the CI value for 10 segments was closer to 1, which indicates a better match with the PTV shape. The average maximum dose distribution for OARs with 5 segments in the brainstem, chiasma, left eye, right eye, left lens, and right lens were 4541.9 cGy, 3893.8 cGy, 2754.2 cGy, 2516.1 cGy, 740.8 cGy, and 628.0 cGy, respectively. With 10 segments, the doses for these OARs were 4104.2 cGy, 3633.9 cGy, 2583.9 cGy, 3124.2 cGy, 710.5 cGy, and 625.5 cGy, respectively. With 15 segments, the doses for the same OARs were 4123.0 cGy, 3956.2 cGy, 2753.3 cGy, 2433.7 cGy, 667.7 cGy, and 547.8 cGy, respectively. All maximum dose distributions for the OARs received by the patients were still within the tolerance limits stated in the Radiation Oncology A Question-Based Review 2nd Edition.
SOLUTION OF THE TIME-INDEPENDENT SCHRÖDINGER EQUATION FOR THE ROSEN–MORSE POTENTIAL BY USING THE GALERKIN METHOD Widagda, I Gusti Agung; Artawan, Nengah; Trisnawati, Ni Luh Putu; Adnyana, I Gusti Agung Putra; Paramarta, Ida Bagus Alit
Indonesian Physical Review Vol. 8 No. 3 (2025)
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ipr.v8i3.492

Abstract

This study presents a numerical solution to the time-independent Schrödinger equation (TISE) for the Rosen-Morse potential using the Galerkin method. The Rosen-Morse potential, commonly used in atomic and molecular physics, has known analytical solutions under certain conditions. By transforming the TISE into a Jacobi differential equation, the analytical wave function and energy levels can be derived. However, analytical solutions are limited to ideal cases, highlighting the need for numerical methods in more general scenarios. The Galerkin method is implemented by expanding the wave function using Sine basis functions and projecting the TISE onto this basis. The resulting eigenvalue problem is solved by constructing the Hamiltonian matrix from kinetic and potential energy operators. Numerical results from the Galerkin method are compared with analytical solutions using graphical analysis, percentage error (% error), and statistical tests, including the Mann-Whitney U test. The results demonstrate that the probability densities obtained using the Galerkin method closely approximate the analytical solution. This is visually evident from the overlapping of probability density plots from both methods. The percentage error of the probability densities is below 1 %, entirely.  Furthermore, the Mann–Whitney U test yields a p-value less than 0.05, indicating that the differences between the two sets of probability densities are statistically insignificant at the 95% confidence level. These findings highlight the Galerkin method’s effectiveness and accuracy as a robust numerical tool for solving the TISE with the Rosen-Morse potential.  
Analisis Spasial Penentuan Tipe Iklim Menurut Klasifikasi Schmidt-Ferguson Menggunakan Metode Thiessen-Polygon Di Kabupaten Bojonegoro Berdasarkan Data Curah Hujan Tahun 2016–2022 Hidayat, Alyi Savitri Astriyani; Baskoro, Winardi Tjahyo; Unsuriyah, Zumrotul; Yuliara, I Made; Widagda, I Gusti Agung; Pramarta, Ida Bagus Alit; Kurnia, Wenas Ganda
Kappa Journal Vol 7 No 3 (2023): Desember
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v7i3.23128

Abstract

Research on Schmidt-Ferguson climate classification and Thiessen polygon mapping in Bojonegoro Regency, East Java has been carried out based on rainfall data during the 2016–2022 period. The aim of this research is to determine climate types according to the Schmidt-Ferguson classification and the spatial distribution of climate types using the Thiessen Polygon method in Bojonegoro Regency, East Java. This process begins with collecting rainfall data, coordinates and height of rain posts. From the analysis results obtained, Bojonegoro Regency has 4 types of climate based on the Schmidt-Ferguson classification, namely: Very Wet (A), Wet (B), Slightly Wet (C) and Dry (F). While based on Thiessen Polygon mapping, type A distribution has an area of 323.02 km2, climate type B classification covering an area of 962.22 km2, Classification of climate type C covering an area of 669.95 km2 and climate type F classification covering an area of 374.07 km2.   
Perancangan Alat Ukur Intensitas Cahaya menggunakan Sensor BH1750 Berbasis Mikrokontroler ATMega328P Bano, Tominikus Benyamin; Widagda, I Gusti Agung; Trisnawati, Ni Luh Putu; Wibawa, I Made Satriya; Putra, I Ketut; Sandi, I Nengah
Kappa Journal Vol 8 No 1 (2024): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v8i1.24917

Abstract

The design of a light intensity measuring instrument using the BH1750 sensor based on the ATMega328P microcontroller has been successfully created. The results of light intensity data are measured by using the BH1750 sensor which receives a data signal in the form of light intensity. In order to get results that are in accordance with the reference tool, the design of a light intensity measuring instrument by using the BH1750 sensor based on the ATmega328P microcontroller is carried out in the Electronics and Instrumentation Laboratory and Computing Laboratory, Physics Study Program, FMIPA, Udayana University, Jimbaran, Bali. Then the results of the design of tool and reference tool processed into graphical form and proven by employing a linear regression equation. The measurement results of light intensity are displayed on a 16x2 LCD. The test results of the design tool against the reference tool shown that the level of accuracy of the design tool is relatively high.
Co-Authors Adnyana, I Gusti Agung Putra Artawan, I Nengah Artawan, Nengah Bano, Tominikus Benyamin Baskoro, Winardi Tjahyo Cory Amelia Hidayat, Alyi Savitri Astriyani I Gde Antha Kasmawan I Ketut putra, I Ketut I Nengah Sandi Ida Bagus Alit Paramarta Ida Bagus Made Suryatika Irhas, Rozi KURNIA, WENAS GANDA Made Sumadiyasa Pramarta, Ida Bagus Alit Saputri, Izza Wahyu Saputri Satriya Wibawa, I Made Trisnawati, Ni Luh Putu Unsuriyah, Zumrotul Wayan Gede Suharta Yuliara, I Made