Abstract
In this paper, the q Euclidean space and the q deformed harmonic oscillators in this space are described by an algebraic system. In this system we can define the raising (creation) and the lowering (annihilation) operators. These operators form a quantum hyperplane and the corresponding covariant q partial derivatives. From the viewpoint of this quantum hyperplane, the operator q Schrödinger equation and the explanation of its solutions are discussed. In addition, some related q implicate-order structures are presented.
DOI:https://doi.org/10.1103/PhysRevA.55.3341
©1997 American Physical Society