# On Some Considerations of Mathematical Physics: May we Identify Clifford Algebra as a Common Algebraic Structure for Classical Diffusion and Schrödinger Equations?

*Advanced Studies in Theoretical Physics*6 (26):1289-1307 (2012)

**Abstract**

We start from previous studies of G.N. Ord and A.S. Deakin showing that both
the classical diffusion equation and Schrödinger equation of quantum mechanics
have a common stump. Such result is obtained in rigorous terms since it is
demonstrated that both diffusion and Schrödinger equations are manifestation of
the same mathematical axiomatic set of the Clifford algebra. By using both
such ( ) i A S and the i,±1 N algebra, it is evidenced, however, that possibly the two
basic equations of the physics cannot be reconciled.
1.

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