# Generalizations of Menchov-Rademacher theorem and existence of wave operators in Schrodinger evolution

## TL;DR

This paper extends the Menchov-Rademacher theorem to continuous orthogonal systems and applies these results to prove the existence of Moller wave operators in Schrödinger evolution, advancing mathematical understanding of quantum scattering.

## Contribution

It generalizes classical theorems to broader systems and establishes the existence of wave operators in Schrödinger evolution, bridging functional analysis and quantum mechanics.

## Key findings

- Generalized Menchov-Rademacher theorem for continuous orthogonal systems
- Proved existence of Moller wave operators in Schrödinger evolution
- Enhanced mathematical framework for quantum scattering theory

## Abstract

We obtain generalizations of the classical Menchov-Rademacher theorem to the case of continuous orthogonal systems. These results are applied to show the existence of Moller wave operators in Schrodinger evolution.