Event Title
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).
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).