International Journal of Physics
ISSN (Print): 2333-4568 ISSN (Online): 2333-4576 Website: http://www.sciepub.com/journal/ijp Editor-in-chief: B.D. Indu
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International Journal of Physics. 2018, 6(1), 9-14
DOI: 10.12691/ijp-6-1-2
Open AccessArticle

Generalized Potential Operator and the Comments on Its Time Evolution

Divyansh Mansukhani1,

1Department of Electronics & Communication, SRM University, Katankullathur, India

Pub. Date: January 16, 2018

Cite this paper:
Divyansh Mansukhani. Generalized Potential Operator and the Comments on Its Time Evolution. International Journal of Physics. 2018; 6(1):9-14. doi: 10.12691/ijp-6-1-2

Abstract

Potential energy inherited by a system plays a significant role in the system analysis. The potential energy operators are not generalized till date. Each system has its unique basis to explain the same. This article provides a novel approach to determine a generalized potential operator for a particle using Poisson's equation in a set basis in accordance with the corresponding characteristics manifested by the unit elements of basis. The mathematics includes the fundamental definitions of quantum physics and geometrical inference of manifolds. We shall see that the operator itself is time variant and medium dependent, which in turn depicts the evolution of the system in different mediums.

Keywords:
operator potential operator Poisson’s equation manifolds manifold arrangement current conservation law time evolution

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