Bound states in a double delta potential via Laplace transform

TL;DR

This paper introduces a Laplace transform approach to analyze bound states in a double delta potential, avoiding the need for jump discontinuity information of the eigenfunction's derivative.

Contribution

It presents a novel method using Laplace transforms to solve the double delta potential problem without requiring derivative discontinuity data.

Findings

Successfully derives bound state solutions using Laplace transforms.

Provides an alternative to traditional methods requiring derivative discontinuity knowledge.

Enhances analytical techniques for quantum potential problems.

Abstract

The problem of bound states in a double delta potential is revisited by means of Laplace transform method. Quite differently from direct methods, no knowledge about the jump discontinuity of the first derivative of the eigenfunction is required to determine the solution.