Superanalysis pp 1-5 | Cite as

# Introduction

## Abstract

The foundations of the theory of functions of commuting and anticommuting variables were laid in the well-known work *A Note to the Quantum Dynamical Principle* by J. Schwinger [172] published in 1953. Schwinger presented the analysis for commuting and anticommuting variables on the physical level of strictness. He assumed that there existed a set of points (which was later called a superspace) on which commuting and anticommuting coordinates were given and a differential calculus was constructed. This set was similar in many respects to Newton’s differential calculus. However, the superspace was not defined on the mathematical level of strictness (although the work [172] contained a remark concerning the construction of a superspace, namely, it was proposed to define a superspace as a subset of the algebra of quantum field operators).

## Keywords

Physical Theory Pseudo Differential Operator Grassmann Algebra Mathematical Level Mathematical Construction## Preview

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