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Universitas Udayana, Denpasar, Indonesia
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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.
The Effect of Focus Film Distance Variation on Patient Absorbed Dose in Thorax Examination with Roentgen Machine in Radiology Installation of Sanjiwani Hospital Gianyar I Nyoman Yosua; Gusti Ngurah Sutapa; I Ketut Putra; Ida Bagus Suryatika; Hery Suyanto; Ida Bagus Alit Paramarta
Kappa Journal Vol 8 No 3 (2024): Kappa Journal
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v8i3.28113

Abstract

A study has been conducted on the effect of Focus Film Distance (FFD) variation on patient absorbed dose during thorax examination at the Radiology Installation of Sanjiwani Hospital, Gianyar. This study aims to determine the effect of FFD variation and the suitability of the radiation dose received by patients whether it is still within the limits of BAPETEN's decision. The X-ray machine used was Siemens Luminos Fusion Roentgen with the FFD variation method given a distance of 110 cm, 130 cm, and 150 cm in 30 patients. Dose measurements were carried out based on radiation exposure and analyzed according to BAPETEN standards. The results showed that the greater the FFD value, the smaller the absorbed dose received by patients. The highest absorbed dose obtained for FFD 110 cm was 0.3867 mGy, 130 cm was 0.2769 mGy, and 150 cm was 0.2079 mGy below the maximum limit of 0.4 mGy set by BAPETEN, so it is safe for patients. Statistical analysis of one-way t-test showed significant results, with thitung < ttabel. This indicates that FFD variation affects the absorbed dose, and all doses remain within safe limits. Thus, thorax examination at RSUD Sanjiwani Gianyar has met the established safety standards.
Pengaruh Variasi Arus Tabung (mA) Terhadap Kualitas Citra Pada Pesawat Computed Tomography (CT) Scan di RSUD Bali Mandara I Dewa Ayu Sintiya Biantari; Gusti Ngurah Sutapa; Ida Bagus Alit Paramarta; I Nengah Sandi; Putu Suardana; Ni Komang Tri Suandayani; Hendra Setiawan
Kappa Journal Vol 9 No 1 (2025): Kappa Journal
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v9i1.29378

Abstract

Computed Tomography (CT) Scan is one of the essential diagnostic tools in the medical field. CT scan image quality is represented by the Signal-to-Noise Ratio (SNR) and Contrast-to-Noise Ratio (CNR). This study was conducted to understand the effect of tube current variation on image quality in CT scan examinations. The CT scan parameters were set at an X-ray tube voltage of 120 kV, an exposure time of 1 second, and tube current variations of 100 mA, 200 mA, 300 mA, 400 mA, and 500 mA. From 25 image data obtained from scanning the Tos phantom on the CT scan, data were collected on the average signal intensity of the material, the average signal intensity of the background, and the standard deviation of the background signal intensity obtained from the Region of Interest (ROI) readings on each scanned phantom image. The Pearson correlation test results between tube current and SNR values showed that the Pearson correlation coefficient for polypropylene, nylon, acrylic, delrin, and air were 0.993, 0.992, 0.993, 0.992, and 0.992, respectively. The linear regression correlation coefficient (r) for polypropylene, nylon, acrylic, delrin, and air were also 0.993, 0.992, 0.993, 0.992, and 0.992, respectively. Similarly, the Pearson correlation test results between tube current and CNR values showed that the Pearson correlation coefficient for polypropylene, nylon, acrylic, delrin, and air were 0.992, 0.992, 0.993, 0.992, and 0.992, respectively. The linear regression correlation coefficient (r) for polypropylene, nylon, acrylic, delrin, and air were also 0.992, 0.992, 0.993, 0.992, and 0.992, respectively. These results indicate that for all phantom materials, the tube current value has a strong positive correlation with both SNR and CNR. The SNR and CNR values increase linearly with increasing tube current, suggesting that a higher tube current can improve CT scan image quality.  
Analisis Dosis Serap pada Pemeriksaan Thorax Pasien Anak dengan Pesawat Sinar-X di Instalasi Radiologi RSUD Sanjiwani Gianyar Ema Vinesia Br Barus; Ni Nyoman Ratini; Ni Luh Putu Trisnawati; I Nengah Sandi; Nyoman Wendri; Ida Bagus Alit Paramarta
Kappa Journal Vol 9 No 2 (2025): Kappa Journal
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v9i2.30101

Abstract

Telah dilakukan penelitian mengenai analisis dosis serap pada pemeriksaan thorax pasien anak dengan pesawat sinar-X di Instalasi Radiologi RSUD Sanjiwani Gianyar. Penelitian ini bertujuan untuk menganalisis dosis serap yang diterima oleh pasien anak pada pemeriksaan thorax serta membandingkannya dengan batas dosis yang direkomendasikan oleh United Nations Scientific Committee on the Effects of Atomic Radiation (UNSCEAR). Penelitian ini dilakukan dengan metode kuantitatif menggunakan data sekunder dari hasil pemeriksaan thorax pasien anak berusia 1-15 tahun yang meliputi faktor eksposi (tegangan tabung, kuat arus, dan waktu eksposi). Data ini yang kemudian digunakan untuk menghitung dosis paparan dan dosis serap. Analisis statistik dilakukan dengan uji Kruskall-Wallis untuk menentukan signifikansi perbedaan dosis serap di RSUD Sanjiwani Gianyar dengan dosis serap yang ditetapkan oleh UNSCEAR. Hasil penelitian menunjukkan bahwa terdapat variasi dosis serap berdasarkan kelompok usia, di mana semakin tinggi usia pasien, semakin besar dosis serap yang diterima. Didapatkan dosis serap untuk kelompok usia 1-4 tahun yaitu:  mGy untuk pasien laki-laki dan  mGy untuk pasien perempuan. Untuk kelompok usia 5-9 tahun didapatkan sebesar mGy untuk pasien laki-laki dan  mGy untuk pasien perempuan. Sedangkan dosis serap kelompok usia 10-15 didapatkan sebesar  mGy untuk pasien laki-laki dan  mGy untuk pasien perempuan. Dosis serap yang diperoleh di RSUD Sanjiwani masih berada di bawah batas dosis maksimum yang ditetapkan oleh UNSCEAR yaitu: untuk kelompok usia 1-4 tahun sebesar 0,0300 mGy, kelompok usia 5-9 tahun sebesar 0,0400 mGy, dan kelompok usia 10-15 sebesar 0,0500 mGy.
Co-Authors A. A. Ngurah Gunawan Adnyana, I Gusti Agung Putra Anak Agung Diah Satria Purnama Artawan, Nengah Desiderius Jarut Ema Vinesia Br Barus Gusti Ngurah Sutapa Hendra Setiawan Hery Suyanto Husnul Hatimah I Dewa Ayu Sintiya Biantari I G. A. Widagda I Gede Hendrawan I Gede Surya Merta I Ketut Putra I Nengah Sandi I Nengah Sandi I Nyoman Yosua Ida Ayu Gede Kusuma Dewi Ida Ayu Putu Aristia Hutami Ida Bagus Suryatika K. Suastika Kaha, Astried Valentine Muh. Soekarno Saputra Rahman Ni Komang Tri Suandayani Ni Luh Gede Desy Suryaningsih Ni Luh Putu Trisnawati Ni Made Rysnawati Ni Nyoman, Ratini Nyoman Wendri Putu Suardana Sukarasa, I Ketut Sukarasa, Ketut Sumaja, Kadek Tjahyo Baskoro, Winardi Trisnawati, Ni Luh Putu Widagda, I Gusti Agung