PATH-INTEGRAL SOLUTION TO A CHARGED-PARTICLE IN AN INFINITE SQUARE-WELL POTENTIAL WITH A CONSTANT ELECTRIC-FIELD

The propagator of a charged particle in an infinite square-well potent ial in one dimension with a constant electric field is solved exactly using Feynman path integration. The wave function of the system is eva luated by the propagator. This wave function depends on time in a way determined by the well size, particle mass and charge, and applied ele ctric field. The uncertainty relation of the system is also obtained b y this function.