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
Views 1489 Downloads 141
Hua Ma, College of Science, Air Force University of Engineering, Xi’an, People’s Republic of China
Follow on us
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
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.
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Griffiths, David J., Introduction to Quantum Mechanics (Prentice Hall, 2nd ed., 2004).
J. J. Sakurai, Modern Quantum Mechanics (Massachusetts: Addison-Wesley, 1995).
T. Hey, P. Walters, The New Quantum Universe (Cambridge University Press, 2009).
D. McMahon, Quantum Mechanics Demystified (Mc Graw Hill (USA), 2006).
Shimin Wu, General relativity theory (Beijing Normal University press (in Chinese), 1998).
F. Mandl, G. Shaw, Quantum Field Theory (John Wiley & Sons. 1993).
Frampton, Gauge Field Theories (Wiley, Frontiers in Physics (2nd ed.), 2000).
I. T. Adamson, Introduction to Field Theory (Dover Publications, 2007).
Qinren Zhang, Classical field theory (Beijing: Science Press (in Chinese), 2003).
Hua Ma, A Physical Explanation on Why Our Space Is Three Dimensional, American Journal of Modern Physics. Vol. 6, No. 6, 2017.
Davies, Paul, The Forces of Nature (Cambridge Univ. Press (2nd ed.), 1986).
Weinberg, Steven, Dreams of a Final Theory (Basic Books, 1994).
Callahan, J. James, The Geometry of Space-time: an Introduction to Special and General Relativity (New York: Springer, 2000).
Liao Liu, General relativity theory (Beijing: Higher Education Press (in Chinese), 1987).
Ta-Pei Cheng, Relativity, Gravitation and Cosmology: A Basic Introduction (Oxford and New York: Oxford University Press, 2005).
M. Robert Wald, Space, Time, and Gravity: the Theory of the Big Bang and Black Holes (Chicago: University of Chicago Press, 1992).