Kh. Yeon et al., PATH-INTEGRAL SOLUTION TO A CHARGED-PARTICLE IN AN INFINITE SQUARE-WELL POTENTIAL WITH A CONSTANT ELECTRIC-FIELD, Canadian journal of physics, 72(9-10), 1994, pp. 591-595
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.