The general solution of Schrodigers differential equation

TL;DR

This paper presents a new theoretical method for solving Schrödinger's differential equation that relies on semigroup operators and a basis of the Hilbert space, avoiding eigenvector or eigenvalue calculations.

Contribution

The authors introduce a novel approach to solving Schrödinger's equation using semigroup theory, sidestepping traditional eigenvector-based methods.

Findings

Solution depends solely on the chosen basis of the Hilbert space.

Method does not require eigenvector or eigenvalue computations.

Provides a general framework for solving Schrödinger's equation theoretically.

Abstract

In this note we solve theoretically the Schrodingers differential equation using results based on our previous work which concern semigroup operators. Our method does not use eigenvectors or eigenvalues and the solution depends only from the selected base of the Hilbert space.