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- W4386021021 abstract "Abstract This note aims to elucidate certain aspects of the quasi-position representation frequently used in the investigation of one-dimensional models based on the generalized uncertainty principle (GUP). We specifically focus on two key points: (i) contrary to recent claims, the quasi-position operator can possess physical significance even though it is non-Hermitian, and (ii) in the quasi-position representation, operators associated with the position, such as the potential energy, also behave as a derivative operator on the quasi-position coordinate, unless the method of computing expectation values is modified. The development of both points revolves around the observation that the position and quasi-position operators share the same set of eigenvalues and are connected through a non-unitary canonical transformation. This outcome may have implications for widely referenced constraints on GUP parameters." @default.
- W4386021021 created "2023-08-22" @default.
- W4386021021 creator A5004982134 @default.
- W4386021021 date "2023-09-01" @default.
- W4386021021 modified "2023-09-26" @default.
- W4386021021 title "Remarks on the quasi-position representation in models of generalized uncertainty principle" @default.
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- W4386021021 doi "https://doi.org/10.1088/1361-6382/acf26f" @default.
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