Bulletin of the American Physical Society
2018 Annual Meeting of the APS Four Corners Section
Volume 63, Number 16
Friday–Saturday, October 12–13, 2018; University of Utah, Salt Lake City, Utah
Session G01: Poster Session
5:00 PM,
Friday, October 12, 2018
CSC
Room: 205/206
Chair: David Kieda, University of Utah
Abstract ID: BAPS.2018.4CS.G01.31
Abstract: G01.00031 : Numerical investigation of entangled two-particle quantum systems
Presenter:
Peter Isaac McFarland
(Weber State University, Weber State University)
Authors:
Peter Isaac McFarland
(Weber State University, Weber State University)
Daniel V. Schroeder
(Weber State University)
Using a grid-based relaxation algorithm, we find numerical solutions to the time-independent Schrödinger equation for some interacting two-particle systems. The first system is two particles trapped in an infinite square well with a contact interaction that varies in strength. The results show the ‘fermionization’ effect, in which the two particles are in a symmetric state but as they interact more strongly the energies become closer to those of an antisymmetric state. The second system is the helium atom, where we focus on states with spherical symmetry and neglect angular correlations. We obtain the helium ground-state energy to an accuracy of less than one percent, and obtain the 1s2s excited-state energies to even higher accuracy. This numerical method is easy to understand and is accessible to undergraduate physics students. It provides a useful tool for developing intuition in quantum mechanics and for investigating non-separable multidimensional systems.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.4CS.G01.31
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