Perturbation Solution for Two Trapped Particles in an Effective Field Theory Framework

Persistent Link:
http://hdl.handle.net/10150/146936
Title:
Perturbation Solution for Two Trapped Particles in an Effective Field Theory Framework
Author:
Rightley, Shane M.
Issue Date:
May-2010
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Particles interacting with sufficiently low energies have dynamics independent of the details of the interaction. This problem is generalized and extended within the context of an effective field theory (EFT). We investigate the case of two such particles in an harmonic trap and construct the inter-particle potential using an EFT expansion. In position space the effective interaction consists of a series of delta-functions and their derivatives. We approximate the energy spectrum in perturbation theory, compare to the results of analytical solutions and discuss the ordering of terms from the potential within the perturbation expansion.
Type:
text; Electronic Thesis
Degree Name:
B.S.
Degree Level:
bachelors
Degree Program:
Honors College; Physics
Degree Grantor:
University of Arizona

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titlePerturbation Solution for Two Trapped Particles in an Effective Field Theory Frameworken_US
dc.creatorRightley, Shane M.en_US
dc.contributor.authorRightley, Shane M.en_US
dc.date.issued2010-05-
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractParticles interacting with sufficiently low energies have dynamics independent of the details of the interaction. This problem is generalized and extended within the context of an effective field theory (EFT). We investigate the case of two such particles in an harmonic trap and construct the inter-particle potential using an EFT expansion. In position space the effective interaction consists of a series of delta-functions and their derivatives. We approximate the energy spectrum in perturbation theory, compare to the results of analytical solutions and discuss the ordering of terms from the potential within the perturbation expansion.en_US
dc.typetexten_US
dc.typeElectronic Thesisen_US
thesis.degree.nameB.S.en_US
thesis.degree.levelbachelorsen_US
thesis.degree.disciplineHonors Collegeen_US
thesis.degree.disciplinePhysicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
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