A class of exactly solvable Schroedinger equation with moving boundary conditions

TL;DR

This paper introduces a new class of exactly solvable Schrödinger equations with moving boundary conditions using supersymmetry formalism, expanding the analytical tools available for quantum systems with dynamic boundaries.

Contribution

The work develops a novel method to solve Schrödinger equations with moving boundaries via supersymmetry, providing explicit solvable potentials not previously available.

Findings

Derived new exactly solvable potentials with moving boundaries

Applied supersymmetry formalism to dynamic boundary problems

Enhanced analytical understanding of quantum systems with time-dependent constraints

Abstract

Using first and second order supersymmetry formalism we obtain a class of exactly solvable potentials subject to moving boundary conditions.