Date of Award

12-31-2022

Document Type

Campus Access Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Computational Sciences

First Advisor

Maxim Olchanyi

Second Advisor

Alexey Tonyushiin

Third Advisor

Nathan Harshman

Abstract

In this thesis, we analyze a variety of one-dimensional hard-core few- and many-body mass-mixture problems, both classical and quantum, with an eye on the integrability- chaos transition, and, consequently, with applications in many-body quantum enhanced interferometry with bosonic solitons. In a parallel development, we discover novel instances of solvable electrostatic problems with four or fewer concave spherical electrodes: these can be regarded as exact solutions for zero-energy eigenstates of a three-dimensional point-like particle in the field of four or fewer spherical hard-wall wells.

Comments

Free and open access to this Campus Access Dissertation is made available to the UMass Boston community by ScholarWorks at UMass Boston. Those not on campus and those without a UMass Boston campus username and password may gain access to this dissertation through resources like Proquest Dissertations & Theses Global or through Interlibrary Loan. If you have a UMass Boston campus username and password and would like to download this work from off-campus, click on the "Off-Campus UMass Boston Users" link above.

Download
Off-Campus UMass Boston Users

Share

COinS