New Approach to Bounded Quantum--Mechanical Models

TL;DR

This paper introduces a modified method for solving one-dimensional bounded quantum-mechanical models, enabling simultaneous solutions for both bounded and unbounded cases, thus advancing analytical techniques in quantum physics.

Contribution

It presents a novel modification of an existing method to effectively handle bounded quantum models, expanding analytical capabilities.

Findings

Successfully applied to a simple example

Provides solutions for both bounded and unbounded models

Demonstrates the method's versatility

Abstract

We develop an approach for the treatment of one--dimensional bounded quantum--mechanical models by straightforward modification of a successful method for unbounded ones. We apply the new approach to a simple example and show that it provides solutions to both the bounded and unbounded type of models simultaneously