Spinor calculus for q-deformed quantum spaces I

Alexander Schmidt; Hartmut Wachter

Spinor calculus for q-deformed quantum spaces I

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arxiv 0705.1640 v1 pith:WJS2LNAF submitted 2007-05-11 hep-th

Alexander Schmidt , Hartmut Wachter This is my paper · ORCID

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keywords q-deformedquantumcalculusplanepropertiesspacespacesspinor

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The article is dedicated to q-deformed versions of spinor calculus. As a kind of review, the most relevant properties of the two-dimensional quantum plane are summarized. Additionally, the relationship between the quantum plane and higher-dimensional quantum spaces like the q-deformed Euclidean space in four dimensions or the q-deformed Minkowski space is outlined. These considerations are continued by introducing q-analogs of the Pauli matrices. Their main properties are discussed in detail and numerous relations that could prove useful in physical applications are presented. In this respect, q-deformed versions of the important Fierz identities are written down.

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Doubly Quantum Mechanics
quant-ph 2024-12 conditional novelty 6.0 of 10

Replacing SU(2) with SU_q(2) turns measurement probabilities into operators and makes reference-frame alignment between two observers fundamentally imprecise even in the limit of infinitely many exchanged spins.

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