Date of Award
8-2025
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
School
Mathematics and Natural Sciences
Committee Chair
Sungwook Lee
Committee Chair School
Mathematics and Natural Sciences
Committee Member 2
Parthapratim Biswas
Committee Member 2 School
Mathematics and Natural Sciences
Committee Member 3
Khin Maung Maung
Committee Member 3 School
Mathematics and Natural Sciences
Committee Member 4
Zhifu Xie
Committee Member 4 School
Mathematics and Natural Sciences
Abstract
In the research presented in this dissertation, we propose an alternative formulation of non-relativistic quantum mechanics in curved spaces (Riemannian manifolds). Some toy quantum models (2D quantum harmonic oscillator in Poincaré half-plane model and the flat chart model of hyperbolic 2-space) are studied to understand the physical implications of this alternative formulation.
Copyright
Robert Hulsey, 2025
Recommended Citation
Hulsey, Robert A., "An Alternative Approach to Non-Relativistic Quantum Mechanics in Curved Space" (2025). Dissertations. 2398.
https://aquila.usm.edu/dissertations/2398