Date of Award


Document Type

Campus Access Dissertation

Degree Name

Doctor of Philosophy (PhD)


Computational Sciences

First Advisor

Maxim Olchanyi

Second Advisor

Alexey Tonyushiin

Third Advisor

Nathan Harshman


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.


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