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A note on Hilbert Space Representation of Quantum Mechanics with Minimal Length

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.

preprint2014arXivOpen access
Amir EtemadiKourosh Nozari
gr-qc
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Open access2 authors1 topic
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Amir EtemadiKourosh Nozari

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