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Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields
American Journal of Modern Physics
Volume 7, Issue 4, July 2018, Pages: 131-135
Received: Jul. 2, 2018; Accepted: Jul. 11, 2018; Published: Aug. 2, 2018
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Hua Ma, College of Science, Air Force University of Engineering, Xi’an, People’s Republic of China
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To reveal the physical nature of Planck’s constant, an analytic expression of Planck's constant is presented, and based on this expression, the De Broglie’s relation and the expression of momentum operator are derived. To calculate Planck’s constant, the shielding effect of the fundamental interaction is introduced, and found that Planck’s constant can be calculated for the fundamental interaction fields with shielding effects, thus have obtained the general quantization principle: the systems with shielding effects can be quantized. As a result, the representation of Planck's constant in the gravitational field is derived, indicating that although the gravitational field can’t be quantified, which has effects on quantum phenomena through expressing Planck’s constant based on the curvature of space-time. This work is of significance for deepening the understanding of quantum mechanics, and for exploring the quantum mechanism in the cosmic celestial bodies.
Quantum Mechanics, Planck’s Constant, De Broglie’s Relation, Momentum Operator, Fundamental Interaction, Shielding Effect, Quantization Principle, Gravitational Field
To cite this article
Hua Ma, Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields, American Journal of Modern Physics. Vol. 7, No. 4, 2018, pp. 131-135. doi: 10.11648/j.ajmp.20180704.12
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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