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Routledge eBooks

Discussing the Implicate Order

David Böhm

Published Nov 22, 2006• 0 citations
Publisher
DOI
10.4324/9780203007280-2

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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 Schr\"odinger equation and the explanation of its solutions are discussed. In addition, some related q implicate-order structures are presented.

Physical Review A•May 1, 1997•0 citations
Abstract: In this paper the criticism to the Bohm's quantum theory has been discussed in the beginning. Then a formalism change of this theory from its original form to recent one is shown. The differences between the normal Copenhagen interpretation and that of Bohm's quantum theory are possible to be seen. Bohm's new idea and new terms such as implicate and explicate order, process, unfold and enfold are discussed to give an interpretation to the theory. This is also able to show that Bohm theory requests the radical change about our world-picture. Key words; Bohm theory, The implicate & explicate order, Quantum potential and Information.
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 Schr\"odinger equation and the explanation of its solutions are discussed. In addition, some related q implicate-order structures are presented.