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Journal : Jurnal Fisika FLUX

Penyelesaian Persamaan Schrodinger Tidak Bergantung Waktu Dengan Metode Finite Difference I Gusti Agung Widagda; I Nengah Artawan; Wayan Gede Suharta; I Gde Antha Kasmawan
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.
Co-Authors Adnyana, I Gusti Agung Putra Anandika Putra, I Made Raditya Anastasia Jessing Gamalita Mberato Artawan, I Nengah Artawan, Nengah Baskoro, Winardi Tjahyo Cory Amelia Dali Sinaga, Ade Nisa Daniel Happy Putra Dedy Pratama, I Putu Djoko Hadi Prajitno Efrensiana Ana Melti Fahik, Gracia Paula Gusti Ngurah Sutapa Gusti Ngurah, Sutapa Hadi Apriandi I G. A. Widagda I Gusti Agung Ayu Ratnawati I Gusti Agung Ngurah Ari Kusuma Putra I Ketut Putra I Ketut putra, I Ketut I Made Satriya Wibawa I Made Yuliara I Nengah Artawan I Nengah Sandi I Nengah Sandi I Nengah Simpen I NYOMAN WIJAYA I Putu Wahyu Pranata Kusuma Jaya I Wayan Supardi I. M. Yuliara I. M. Yuliara I.M. Yuliara Ida Ayu Dwi Giriantari Ida Bagus Made Suryatika Ida Bagus Made Suryatika Ida Bagus Putu Priastana Bawa Irhas, Rozi Kelo, Febriyanti Jia M. Zully Amrul Hadi Made Sumadiyasa Made Suryatika, Ida Bagus Mas Janudinata, Gde Ari Murzid, Jihan Qothrunada N. L. P. Trisnawati Ni Kadek Nova Anggarani Ni Kadek Nova Anggarani Ni Luh Putu Trisnawati Ni Made Wedayani Ni Nyoman Rupiasih Ni Nyoman, Ratini Ni Putu Yuni Nurmalasari Nurmalasari, Ni Putu Yuni Nyoman Wendri Pranditayana, I Nyoman Prawistya Putra, I Made Gede Mas Prayuda, I Made Ardi Putra Adnyana, I Gusti Agung Rosvita Hilbrida Sulastri Rozi Irhas Sari, Kamelin Diah Satriya Wibawa, I Made Setiawan, Yohanes Agus Silalahi, Dio Carpry Gunawan Silalahi, Johanes J. Sismanto Spardi, I Wayan Suandayani, Ni Komang Tri Sukarasa, I Ketut Tri Jaya Maghuna, Komang Trisnawati, Ni Luh Putu Umi Hariyani Wayan Balik Sudarsana Wayan Gede Suharta Widagda, I Gusti Agung Widagda, I. G. A Widiana, I Komang Widianingsih, Ni Kadek Indah Winardi Tjahjo Baskoro Winardi Tjahyo Baskoro Windaryoto Windaryoto Winer Johan Bora Yuliara, I Made Yuliara, Made