Date of Award
Campus Access Dissertation
Doctor of Philosophy (PhD)
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.
Yampolsky, Dmitry, "Quantum Dynamics of One-Dimensional Particles With Different Masses" (2022). Graduate Doctoral Dissertations. 730.
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