Localization in space for a free particle in ultrametric quantum mechanics (Q610535)

This work aims to construct some quantum dynamics models on general ultrametric spaces which are, by essence, non-Archimedean, that is, there do exist so called incommensurable balls which are impossible to leave in arbitrarily many steps of a length at most \(d\) where \(d\) is ball's diameter. It is proved the spatial localization property of ultrametric free quantum particle. The fundamental solutions of a family of ultrametric pseudodifferential evolution equations that also includes the ultrametric Schrödinger ones, are obtained.