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We review results on GKSL-type equations with multi-modal generators which are quadratic
in bosonic or fermionic creation and annihilation operators. General forms of such equations …

The present chapter is purely mathematical. The reader, who is more interested in physics
than mathematics can omit this chapter and go directly to Chapter 4, where the formalism of …

Numbers..., natural, rational, real, complex, p-adic.... What do you know about p-adic
numbers? Probably, you have never used any p-adic (nonrational) number before now. I …

The last treatise on the theory of determinants, by T. Muir, revised and enlarged by WH
Metzler, was published by Dover Publications Inc. in 1960. It is an unabridged and corrected …

This book aims to fill the gap in the available literature on supermanifolds, describing the
different approaches to supermanifolds together with various applications to physics …

Abstract CONTENTS Introduction § 1. Generalized functions and Gaussian integrals on finite-
dimensional non-Archimedean spaces § 2. Non-Archimedean Hilbert spaces § 3. Spaces of …

In this paper, we generalize classical Bell polynomials into super version, which are found to
be effective in systematically constructing super bilinear representation, bilinear Bäcklund …

In this paper, I introduce a class of super Bell polynomials, which are found to play an
important role in the characterization of super supersymmetric equations. An effective …

This review covers an important domain of p-adic mathematical physics—quantum
mechanics with p-adic valued wave functions. We start with basic mathematical …