Internal structure of the Heisenberg and Robertson-Schrodinger uncertainty relations: Multidimensional generalization

Abstract

It is known that the Heisenberg and Robertson-Schrodinger uncertainty relations can be replaced by sharper relations in which the "classical" (depending on the gradient of the phase of the wave function) and "quantum" (depending on the gradient of the envelope of the wave function) parts of the variances and are separated. In this paper, multidimensional generalization of these relations is discussed.

Keywords

• quantum
• principle
• stronger