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PENERAPAN PERSAMAAN DIFERENSI PARSIAL PADA PERSAMAAN GELOMBANG SCHRODINGER DENGAN METODE VARIABEL TERPISAH

ROBIATUL, ISLAMIYAH (2011) PENERAPAN PERSAMAAN DIFERENSI PARSIAL PADA PERSAMAAN GELOMBANG SCHRODINGER DENGAN METODE VARIABEL TERPISAH. Other thesis, University of Muhammadiyah Malang.

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Abstract

Mathematical model is modelling of a problem such that the solve that problem can do clearly and use the mathematics principle. Many of phenomena can mode in model in partial differential equation . one of a problem which can made in mathematics model is Schrodinger wave. In Schrodinger is explained about quantum of mechanics, which in quantum of mechanics explain about energy, momentum and position, and quantum of mechanics is shown as function of wave which solve the Schrodinger equation. Because of that, solve the Schrodinger equation will produce the function of wave and energy. For solving the Schrodinger wave equation use the mathematics model of two and three dimension wave function in partial differential equation use the separate variable method which got with wave function such as: Wave equation two dimension of particle in a box ψ(x,y)=2/L sin (n_x πx)/L sin⁡〖(n_y πy)/L〗 E=E_0 (n_x^2+n_y^2) E_0=(ћ^2 π^2)/(2mL^2 ) Wave equation three dimension of particle in a box ψ(x,y)=2/L √(2/L) sin (n_x πx)/L sin⁡〖(n_y πy)/L〗 E=E_0 (n_x^2+n_y^2) E_0=(ћ^2 π^2)/(2mL^2 )

Item Type: Thesis (Other)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Teacher Training and Education > Department of Mathematics Education (84202)
Depositing User: Gusti Vani Putri Cahya
Date Deposited: 27 Jan 2015 05:40
Last Modified: 27 Jan 2015 05:40
URI : http://eprints.umm.ac.id/id/eprint/15251

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