A Quantum System with Positions in the Profinite Group $${\mathbb Z}_p$$ Z p

Apostolos Vourdas

doi:10.1007/978-3-319-59495-8_11

A Quantum System with Positions in the Profinite Group $${\mathbb Z}_p$$ Z p

Apostolos Vourdas

https://doi.org/10.1007/978-3-319-59495-8_11

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Publication Date: Jan 1, 2017

Affiliation: University of Bradford

#Heisenberg-Weyl Group #Weyl Functions + Show 5 more

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Abstract

Quantum systems with positions in $\mathbb {Z}_{p}$ and momenta in $\mathbb {Q}_{p}/\mathbb {Z}_{p}$, are discussed. The Schwartz-Bruhat space of wavefunctions in these systems, is presented. The Heisenberg-Weyl group as a locally compact and totally disconnected topological group, is discussed. Wigner and Weyl functions in this context, are also discussed.

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