2025/04/10 by Quiceno, Julio Cesar Jaramillo
#15A66 #16T99 . 17B37 #35A24 #46E99 #81Q99 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.2504.07735
We introduce a q-differential operator adapted to q-spinor variables, establishing a corresponding q-spinor chain rule and defining both standard and Dirac-type q-differential operators. Integral formulas in q-spinor variables are derived, and applications to q-deformed spinor differential equations are explored through explicit examples. The framework extends existing q-calculus to spinorial structures, offering potential insights into quantum deformations of relativistic field equations. We conclude with suggestions for future developments, including a q-analogue of the Dirac--Maxwell algebra.