Physical behavior of a system representing a particle trapped in a box having flexible size

Abstract

A critical study of the wave mechanics of a particle trapped in a 1-D box having infinite potential walls and small flexibility in its size reveals its several important and hither to unknown aspects which could be relevant for better understanding of systems like quantum -dot/wire/well. Since most of these aspects arise from the zero-point force coming into operation when the particle occupies its ground state in the box, they are expected to have great significance at low temperatures. To demonstrate this we briefly analyze some important aspects of an electron bubble in liquid helium and its nano-droplets.