(c) Consider a particle of mass m that is allowed to move only along the x-direction and its motion is confined to the r
Posted: Wed May 18, 2022 4:50 pm
(c) Consider a particle of mass m that is allowed to move only along the x-direction and its motion is confined to the region between hard and rigid walls located at x = 0 and at x = = L. Between the walls, the particle moves freely. The particle's potential energy is described by the function -00 = { 00 x = 0 V(x) = 0<x<L x = L Derive an expression for the energy levels of the particle using the relativistic energy-momentum relation and the quantization of momentum that derives from confinement. How does this case study refer to first quantization in quantum mechanics?