Symmetrized operators or modified integration measure in Generalized Uncertainty Principle Models
Year: 2025
Type: preprint
Abstract: Many Generalized Uncertainty Principle (GUP) models modify the inner-product measure to ensure symmetric position or momentum operators. We show that an alternate approach to these GUPs is to symmetrize the operators rather than modifying the inner product. This preserves the standard momentum space allowing the eigenstates and maximally localized states of the modified position operator to have a standard position representation. We compare both approaches and highlight their merits.
Source: arXiv (Cornell University)
Authors: Bishop, Michael, Hooker, Daniel, Singleton, Doug
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083633883
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