Generalized uncertainty principle and its implications on geometric phases in quantum mechanics

Abstract We study the implications of generalized uncertainty principle (GUP) with a minimal measurable length on some quantum mechanical interferometry phenomena, such as Aharonov–Bohm, Aharonov–Casher, COW and Sagnac effects. By resorting to modified Schrödinger equation, we evaluate lowest-order correction phase shift interference pattern within two different GUP frameworks: first one is characterized by redefinition physical momentum only, other Lorentz covariant which also predicts non-commutativity spacetime. The obtained results allow us fix upper bounds deformation parameters may be tested through future high-precision experiments.