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Lagrange Meshes in Nuclear Physics

Title: Lagrange Meshes in Nuclear Physics.
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Name(s): Hynds, Taylor, author
Department of Physics
Type of Resource: text
Genre: Text
Issuance: serial
Date Issued: 2013
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: We examine different methods of solving the Schroedinger equation for two and three-body systems. We begin by constructing variational wave functions as expansions in a basis of orthogonal polynomials. This method has been found to give accurate results, given a sufficiently large basis. However, computationally this can become very cumbersome. We therefore employ the Lagrange-mesh method, which leads to a simple calculation of both potential and kinetic matrix elements that is both computationally efficient and results in little to no loss in accuracy. This method has been applied to several problems with well known analytical solutions, and has given excellent results. We demonstrate the efficacy of this method in analyzing nuclear systems.
Identifier: FSU_migr_uhm-0177 (IID)
Keywords: nuclear, physics, theoretical
Submitted Note: A Thesis submitted to the Department of Physics in partial fufillment of the requirements for graduation with Honors in the Major.
Degree Awarded: Spring Semester, 2013.
Date of Defense: April 19, 2013.
Subject(s): Physics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_uhm-0177
Owner Institution: FSU
Is Part of Series: Honors Theses.

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Hynds, T. (2013). Lagrange Meshes in Nuclear Physics. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_uhm-0177