123 research outputs found

    Expressions of algebra elements and transcendental noncommutative calculus

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    Ideas from deformation quantization are applied to deform the expression of elements of an algebra. Extending these ideas to certain transcendental elements implies that \frac{1}{i\h}uv in the Weyl algebra is naturally viewed as an indeterminate living in a discrete set N+1/2\mathbb{N}{+}{1/2} {\it or} βˆ’(N+1/2){-}(\mathbb{N}{+}{1/2}) . This may yield a more mathematical understanding of Dirac's positron theory
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