Solve the for the energy eigenvalues and eigenfunctions for a particle in a 1D box such that the box has a length L and is centered about the origin of a coordinate system. Find values of mL? such that the particle becomes relativistic, it hardly moves, or moves with the speed of an airbus in its ground state.

Solve the for the energy eigenvalues and eigenfunctions for a particle in a 1D box such that the box has a length L and is centered about the origin of a coordinate system. Find values of mL? such that the particle becomes relativistic, it hardly moves, or moves with the speed of an airbus in its ground state.