Particle in a quantum well with a moving wall

Abstract

We study the problem of a quantum particle in an infinite one dimensional potential well with a moving wall. Based on the effective Hamiltonian approach and using the gauge transformation concepts, we show that the effect of the moving wall appears as an extra phase factor in the wave function which depends on the velocity of the wall. 

Keywords

• Time dependent boundary conditions
• Infinite quantum well
• Gauge transformation
• Dirac phase