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Configuration Space Monte Carlo Algorithm for Solving the Nuclear Pairing Problem

Title: A Configuration Space Monte Carlo Algorithm for Solving the Nuclear Pairing Problem.
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Name(s): Lingle, Mark, author
Volya, Alexander, professor directing dissertation
Kopriva, David A., university representative
Capstick, Simon, committee member
Wiedenhöver, Ingo, 1966-, committee member
Manousakis, Efstratios, committee member
Florida State University, degree granting institution
College of Arts and Sciences, degree granting college
Department of Physics, degree granting department
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2015
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource (102 pages)
Language(s): English
Abstract/Description: Nuclear pairing correlations using Quantum Monte Carlo are studied in this dissertation. We start by defining the nuclear pairing problem and discussing several historical methods developed to solve this problem, paying special attention to the applicability of such methods. A numerical example discussing pairing correlations in several calcium isotopes using the BCS and Exact Pairing solutions are presented. The ground state energies, correlation energies, and occupation numbers are compared to determine the applicability of each approach to realistic cases. Next we discuss some generalities related to the theory of Markov Chains and Quantum Monte Carlo in regards to nuclear structure. Finally we present our configuration space Monte Carlo algorithm starting from a discussion of a path integral approach by the authors [2, 3]. Some general features of the Pairing Hamiltonian that boost the effectiveness of a configuration space Monte Carlo approach are mentioned. The full details of our method are presented and special attention is paid to convergence and error control. We present a series of examples illustrating the effectiveness of our approach. These include situations with non-constant pairing strengths, limits when pairing correlations are weak, the computation of excited states, and problems when the relevant configuration space is large. We conclude with a chapter examining some of the effects of continuum states in 24O.
Identifier: FSU_migr_etd-9383 (IID)
Submitted Note: A Dissertation submitted to the Department of Physics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Spring Semester, 2015.
Date of Defense: March 27, 2015.
Bibliography Note: Includes bibliographical references.
Advisory Committee: Alexander Volya, Professor Directing Dissertation; David Kopriva, University Representative; Simon Capstick, Committee Member; Ingo Wiedenhover, Committee Member; Efstratios Manousakis, Committee Member.
Subject(s): Physics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_etd-9383
Owner Institution: FSU

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Lingle, M. (2015). A Configuration Space Monte Carlo Algorithm for Solving the Nuclear Pairing Problem. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-9383