Applications of Computational Methods in Quantum Mechanics

Presentation Type

Poster/Portfolio

Presenter Major(s)

Physics, Mathematics

Mentor Information

Maja Krcmar

Department

Physics

Location

Kirkhof Center KC52

Start Date

10-4-2013 1:00 PM

End Date

10-4-2013 2:00 PM

Keywords

Mathematical Science, Physical Science, Technology

Abstract

We will explore applications of computational methods in solving selected quantum mechanical problems. Variational Monte Carlo (MC) will be implemented to find the ground state energy of the electron(s) in hydrogen and helium atoms with interaction potentials based on Coulomb and screened Coulomb interactions. In Variational MC, importance sampling based on the Metropolis algorithm will be used to evaluate relevant integrals. Also, the Numerov method will be used to computationally solve the second order differential equation to find energy levels of the hydrogen atom (ground state as well as excited states).

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Apr 10th, 1:00 PM Apr 10th, 2:00 PM

Applications of Computational Methods in Quantum Mechanics

Kirkhof Center KC52

We will explore applications of computational methods in solving selected quantum mechanical problems. Variational Monte Carlo (MC) will be implemented to find the ground state energy of the electron(s) in hydrogen and helium atoms with interaction potentials based on Coulomb and screened Coulomb interactions. In Variational MC, importance sampling based on the Metropolis algorithm will be used to evaluate relevant integrals. Also, the Numerov method will be used to computationally solve the second order differential equation to find energy levels of the hydrogen atom (ground state as well as excited states).