8-12 July 2019
Polokwane
Africa/Johannesburg timezone
Deadline for papers for the conference proceedings is 15 August 2019

Solving differential equations of Quantum Mechanics in 1 D and 2 D using Sinc functions employing Python and Numpy.

11 Jul 2019, 11:40
20m
Protea The Ranch Hotel (Polokwane)

Protea The Ranch Hotel

Polokwane

Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics

Speaker

Mrs OBIAGELI LOVENDA EZENWACHUKWU (UNIVERSITY OF SOUTH AFRICA (UNISA))

Description

The Schroedinger equation in one and two dimensions is solved using sinc functions, applying the variational principle and employing Python and Numpy. Our goal is to examine how the sinc function method performs with respect to its convergence rate. The python codes are tested with the quantum harmonic oscillator potential and Morse potential, for which analytical solutions are available. It is found that the method converges quickly.

Apply to be<br> considered for a student <br> &nbsp; award (Yes / No)?

Yes

Level for award<br>&nbsp;(Hons, MSc, <br> &nbsp; PhD, N/A)?

MSc

Primary author

Mrs OBIAGELI LOVENDA EZENWACHUKWU (UNIVERSITY OF SOUTH AFRICA (UNISA))

Co-author

Prof. Moritz Braun (University of South Africa)

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Peer reviewing

Paper