On the Deformed Algebras Applications to Quantum Physics

Abstract

Some possible applications of deformed algebras to Quantum Physics are considered based on a rigorous approach. Jackson integrals are expressed in the context of the equipped separable Hilbert space. Jackson integrals are expressed in the context of the equipped separable Hilbert spaces using point measures where possible. Along the way, certain errors and/or inaccuracies made by different authors of the cited references have been corrected. A brief analysis at the end of the article indicates that there are still problems in applying deformed algebras to Quantum Mechanics and Field Theory.