On the quantization and generalized uncertainty relation for some quantum deformed algebras

2012/12/20 by Won Sang Chung, Chung, Won Sang
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1212.4979

openalex publication_date 2012/12/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, the quantization and generalized uncertainty relation for some quantum deformed algebras are investigated. For several deformed algebras, the commutation relation between the position and the momentum operator is shown to be the same as the one in the Planck scale deformed quantum mechanics.

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