2014/12/11 by Amir Etemadi, Kourosh Nozari, Etemadi, Amir +2
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #gr-qc
paper · pdf · doi:10.48550/arxiv.1412.3604
12 pages, no figure
arxiv created 2014/12/11 · openalex publication_date 2014/12/11 · arxiv updated 2014/12/12 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
We study some fundamental issues related to the Hilbert space representation of quantum mechanics in the presence of a minimal length and maximal momentum. In this framework, the maximally localized states and quasi-position representation introduced by Kempf et al. are reconsidered and modified. We show that all studies in recent years, including [15] and [16] need serious modification in order to be a consistent framework for quantum mechanics in Planck scale.