Quantum-Size States of a Particle inside the Deformed Nanosphere

Abstract

In this paper we propose an original functional method which allows us to determine the effect of different deviations of nano-object shape on quantum characteristics of particles localized inside the nano-object. This method is ideologically similar to the perturbation theory, but the perturbation of the surface shape, rather than potential, is used. The results of analysis the quantum-size states of particles inside the nano-object with deformed sphere shape showed that the probability density of particle location is more sensitive to shape perturbations than surface energy spectrum and quantum states density are.