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Three Body Coulomb Problem

Title: The Three Body Coulomb Problem: An Examination of Bound States and Stability as a Function of Individual Masses.
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Name(s): Kondyukov, Grigoriy, author
Department of Physics
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2015
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: In this work we study quantum non-relativistic three-body systems interacting via Coulomb potential. The solution in this undertaking utilizes and expansion of wave functions using products of Laguerre polynomial, followed by variational adjustment of coordinate scaling parameters. The method used in this study was originally developed by C.L. Pekeris and its advantage stems from recursion relations available for Laguerre polynomial. We developed an implementation of modular C++ code for solving the three-body problem numerically with high precision, improving upon previous works. The stability of three-body systems as well as excitation energies of excited states and ionization energy in the parameter space of charges and masses is investigated.
Identifier: FSU_migr_uhm-0502 (IID)
Keywords: coulomb, quantum, three-body, computational, c++, numerical, helium
Submitted Note: A Thesis submitted to the Department of Physics in partial fulfillment of the requirements for graduation with Honors in the Major.
Degree Awarded: Spring Semester, 2015.
Date of Defense: April 21, 2015.
Subject(s): Dynamics
Nonlinear systems
Nuclear physics
Numerical analysis
Differential equations
Quantum theory
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_uhm-0502
Owner Institution: FSU
Is Part of Series: Honors Theses.

Choose the citation style.
Kondyukov, G. (2015). The Three Body Coulomb Problem: An Examination of Bound States and Stability as a Function of Individual Masses. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_uhm-0502