Harmonic oscillators in q implicate-order theory and order structures

Zai-Zhe Zhong
Phys. Rev. A 55, 3341 – Published 1 May 1997

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

    Authors & Affiliations

    Zai-Zhe Zhong

    • Department of Physics, Liaoning Normal University, Dalian 116029, Liaoning, People's Republic of China

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    Issue

    Vol. 55, Iss. 5 — May 1997

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