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All Journal Buletin Udayana Mengabdi Jurnal Fisika FLUX Kappa Journal BULETIN FISIKA
Wayan Gede Suharta
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Journal : Jurnal Fisika FLUX

 1 
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 A. A. Ngr. Gunawan A.A. Made Wisnu Wijaya Putra Aji Priyo Utomo Anak Agung Ngurah Gunawan Artawan, I Nengah Artawan, Nengah Baskoro, Winardi Tjahyo Djoko Hadi Prajitno Hery Suyanto I G. A. Widagda I G. Cahya Pradhana I Gde Antha Kasmawan I Gede Astina I Gusti Agung Ayu Ratnawati I Gusti Agung Ayu Ratnawati I Ketut putra, I Ketut I Nengah Artawan I Nengah Sandi Jeris Habfrons Wiatri Djereng K. N. Suarbawa Ketut Putra Laura Laudensia Senly Jalut Made Sumadiyasa Murzid, Jihan Qothrunada Ni Komang Tribuana Cipta Putri Ni Luh Putu Trisnawati Novita Susanti Elsi Nurmalasari, Ni Putu Yuni Nyoman Wendri P. Suardana Ratu, Trivena Sesilia Selvi Marcellia Spardi, I Wayan Widagda, I Gusti Agung Windaryoto Windaryoto