Quantum states of a particle in a box via unilateral Fourier transform

Abstract

Abstract The quantum problem of stationary states of a particle in a box is revisited by means of the unilateral Fourier transform. Homogeneous Dirichlet boundary conditions demand a finite Fourier sine transform which is actually the Fourier sine series.

Keywords

• Particle in a box
• Infinite square-well potential
• Unilateral Fourier transform