A Quantum Wavelet Uncertainty Principle

Abstract

In the present paper, an uncertainty principle is derived in the quantum wavelet framework. Precisely, a new uncertainty principle for the generalized q-Bessel wavelet transform, based on some q-quantum wavelet, is established. A two-parameters extension of the classical Bessel operator is applied to generate a wavelet function which is used for exploring a wavelet uncertainty principle in the q-calculus framework.

Keywords

• wavelets
• uncertainty principle
• <i>q</i>-calculus
• <i>q</i>-Bessel function
• <i>q</i>-wavelets
• <i>q</i>-uncertainty principle