Potentials versus Geometry

2021/01/04 by Thomas Curtright, Curtright, T., Suresh C. Subedi +1
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2101.01107

openalex publication_date 2021/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss some equivalence relations between the non-relativistic quantum mechanics for particles subjected to potentials and for particles moving freely on background geometries. In particular, we illustrate how selected geometries can be used to regularize singular potentials.

Citations

• Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
• The Particle Problem in the General Theory of Relativity

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