Within the framework of quantum mechanics over a quadratic extension of the non-
Archimedean field of p-adic numbers, we provide a definition of a quantum state relying on a …

We propose a model of a quantum N-dimensional system (quNit) based on a quadratic
extension of the non-Archimedean field of p-adic numbers. As in the standard complex …

We discuss the problems of quantum theory (QT) complicating its merging with general
relativity (GR). QT is treated as a general theory of micro-phenomena—a bunch of models …

We introduce the notion of a p-adic quantum bit (p-qubit) in the context of the p-adic
quantum mechanics initiated and developed after the seminal paper of Volovich [Theor …

A note on q-multiple zeta functions Page 1 Journal of Physics A: Mathematical and General
LETTER TO THE EDITOR A note on q-multiple zeta functions To cite this article: Taekyun Kim …

Banach algebras over arbitrary complete non‐Archimedean fields are considered such that
operators may be nonanalytic. There are different types of Banach spaces over non …

This book provides the reader with a self-contained treatment of the classical operator theory
with significant applications to abstract differential equations, and an elegant introduction to …

In this thesis we investigate monomial dynamical systems over the fields of p-adic numbers,
Qp, or over finite field extensions of them. A finite extension of Qp is denoted by Kp. The …

We are concerned with some unbounded linear operators on the so-called p-adic Hilbert
space Eω. Both the Closedness and the selfadjointness of those unbounded linear …

A P-ADIC VERSION OF HILBERT-SCHMIDT OPERATORS AND APPLICATIONS 1. Introduction
The primary goal of this paper is to initiate the Page 1 A P-ADIC VERSION OF …