Foundations of Physics

, Volume 41, Issue 3, pp 529–537 | Cite as

Itô’s Lemma with Quantum Calculus (q-Calculus): Some Implications



q-derivatives are part of so called quantum calculus. In this paper we investigate how such derivatives can possibly be used in Itô’s lemma. This leads us to consider how such derivatives can be used in a social science setting. We conclude that in a Itô Lemma setting we cannot use a macroscopic version of the Heisenberg uncertainty principle with q-derivatives.


q-calculus q-derivatives Itô’s lemma 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.School of ManagementUniversity of LeicesterLeicesterUK

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