Mathematical Physics

    

Non-Archimedean Functional Analysis Over Non-Archimedean Field ^{∗}ℝ_{c}^{}. Applications to Constructive Quantum Field Theory.part II.essential #-Self Adjointness of Hamiltonian H_{0}+V.

Authors: Jaykov Foukzon

Functional analysis works with TVS (Topological Vector Spaces), classically over archimedean fields like ℝ and ℂ.Canonical non-Archimedeanfunctional analysis, where alternative but equally valid number systems such as p-adic numbers ℚ_{p} etc. are fundamental, is a fast-growing discipline.This paper deals with TVS over non-classical non-Archimedean fields ^{∗}ℝ_{c}^{} ,^{∗}ℝ_{c}^{} and^{∗}ℂ_{c}^{}, ^{∗}ℂ_{c}^{}. Definitions and theorems related to non-Archimedean functional analysis onnon-Archemedean field ┊^{∗}ℝ_{c}^{}┊ and on complex field ┊^{∗}ℂ_{c}^{}┊=┊^{∗}ℝ_{c}^{}┊+i┊^{∗}ℝ_{c}^{}┊are considered. Applications to constructive quantum field theory also are considered

Comments: 271 Pages.

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[v1] 2026-02-21 03:12:43

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