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All Journal Indonesian Physical Review Kappa Journal
Ida Bagus Alit Paramarta
Universitas Udayana, Denpasar, Indonesia
Astronomy Education Physics Other

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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.  
IMPACT OF TROPICAL CYCLONE SEROJA ON RAINFALL AND WIND SPEED IN EAST NUSA TENGGARA PROVINCE Kaha, Astried Valentine; Baskoro, Winardi Tjahyo; Sumaja, Kadek; Sukarasa, I Ketut; Paramarta, Ida Bagus Alit; Sandi, I Nengah
Indonesian Physical Review Vol. 7 No. 1 (2024)
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ipr.v7i1.264

Abstract

Tropical cyclone phenomenon can give impacts such as heavy rain, strong winds, and high waves around its growth area. One of the tropical cyclones that has occurred is Seroja Tropical Cyclone which formed in the Sawu Sea on April 3, 2021. Therefore, this study aims to determine the effect of Seroja Tropical Cyclone on rainfall and surface wind speed in East Nusa Tenggara Province and the percentage comparison of rainfall and wind speed during the Seroja tropical cyclone event with the normal value of rainfall and surface wind speed over a 10-year period. The data used are daily rainfall and surface wind speed data during the Seroja tropical cyclone event, namely April 3 to 12, 2021 and daily average rainfall and wind speed data in April for 10 years in several affected districts in East Nusa Tenggara Province. Data processing is done by calculating the percentage comparison of rainfall and wind speed during the Seroja Tropical Cyclone event with normal rainfall and wind speed in several regions in East Nusa Tenggara. Based on the analysis, heavy to extreme rainfall and strong winds were found in several districts at a radius of about 400 km from the center of the cyclone. Although the category of this tropical cyclone is low, it is able to give impacts in the form of heavy to extreme rainfall and strong winds in the surrounding area. So it can be concluded that the tropical cyclone category does not directly affect rainfall and wind speed in an area, but the distance between the area and the center of the tropical cyclone is more influential in increasing rainfall and wind speed in an area. This is also proven by Sumaja's research in the case of tropical cyclones LUA and Narelle.
Identifikasi Jenis Batuan Panas Bumi Di Desa Angseri Dan Sekitarnya Dengan Metode Gravitasi Sukarasa, Ketut; Paramarta, Ida Bagus Alit
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.v7i3.21444

Abstract

The research has been done on 2D model of the subsurface structure of the hot springs in Angseri Village and its surroundings using the gravity method. The purposes of the research is to determine the distribution of gravity anomaly values, density values and subsurface rock structures. The results showed that the value of Bouguer anomaly was between 10-137 mGal, the regional anomaly was between 42-105 mGal, and the residual anomaly was between (-32)-(35) mGal. The modeling results showed that the subsurface structure of the study area was composed of lava rock (1.1-1.73 gr/cm3), tuff (1.61-2.52 gr/cm3), tuff breccia (2.51-2,79 gr/cm3), lava (2.8-2.89 gr/cm3) and volcanic breccia (2.9-3.2 gr/cm3), where volcanic breccia rocks as permeable rocks and tuff breccia rocks as cover rocks.
Co-Authors A. A. Ngurah Gunawan Adnyana, I Gusti Agung Putra Anak Agung Diah Satria Purnama Artawan, Nengah Baskoro, Winardi Tjahyo Desiderius Jarut Gusti Ngurah Sutapa Hery Suyanto Husnul Hatimah I G. A. Widagda I Gede Hendrawan I Gede Surya Merta I Nengah Sandi Ida Ayu Gede Kusuma Dewi Ida Ayu Putu Aristia Hutami K. Suastika Kaha, Astried Valentine Muh. Soekarno Saputra Rahman Ni Luh Gede Desy Suryaningsih Ni Made Rysnawati Sukarasa, I Ketut Sukarasa, Ketut Sumaja, Kadek Trisnawati, Ni Luh Putu Widagda, I Gusti Agung