Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields

Hua Ma

doi:doi:10.11648/j.ajmp.20180704.12

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Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields

Hua Ma

Published in American Journal of Modern Physics (Volume 7, Issue 4)

Received: 2 July 2018 Accepted: 11 July 2018 Published: 2 August 2018

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Abstract

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.

Published in	American Journal of Modern Physics (Volume 7, Issue 4)
DOI	10.11648/j.ajmp.20180704.12
Page(s)	131-135
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Quantum Mechanics, Planck’s Constant, De Broglie’s Relation, Momentum Operator, Fundamental Interaction, Shielding Effect, Quantization Principle, Gravitational Field

References

[1]	Griffiths, David J., Introduction to Quantum Mechanics (Prentice Hall, 2nd ed., 2004).
[2]	J. J. Sakurai, Modern Quantum Mechanics (Massachusetts: Addison-Wesley, 1995).
[3]	T. Hey, P. Walters, The New Quantum Universe (Cambridge University Press, 2009).
[4]	D. McMahon, Quantum Mechanics Demystified (Mc Graw Hill (USA), 2006).
[5]	Shimin Wu, General relativity theory (Beijing Normal University press (in Chinese), 1998).
[6]	F. Mandl, G. Shaw, Quantum Field Theory (John Wiley & Sons. 1993).
[7]	Frampton, Gauge Field Theories (Wiley, Frontiers in Physics (2nd ed.), 2000).
[8]	I. T. Adamson, Introduction to Field Theory (Dover Publications, 2007).
[9]	Qinren Zhang, Classical field theory (Beijing: Science Press (in Chinese), 2003).
[10]	Hua Ma, A Physical Explanation on Why Our Space Is Three Dimensional, American Journal of Modern Physics. Vol. 6, No. 6, 2017.
[11]	Davies, Paul, The Forces of Nature (Cambridge Univ. Press (2nd ed.), 1986).
[12]	Weinberg, Steven, Dreams of a Final Theory (Basic Books, 1994).
[13]	Callahan, J. James, The Geometry of Space-time: an Introduction to Special and General Relativity (New York: Springer, 2000).
[14]	Liao Liu, General relativity theory (Beijing: Higher Education Press (in Chinese), 1987).
[15]	Ta-Pei Cheng, Relativity, Gravitation and Cosmology: A Basic Introduction (Oxford and New York: Oxford University Press, 2005).
[16]	M. Robert Wald, Space, Time, and Gravity: the Theory of the Big Bang and Black Holes (Chicago: University of Chicago Press, 1992).

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Hua Ma. (2018). Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields. American Journal of Modern Physics, 7(4), 131-135. https://doi.org/10.11648/j.ajmp.20180704.12

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ACS Style

Hua Ma. Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields. Am. J. Mod. Phys. 2018, 7(4), 131-135. doi: 10.11648/j.ajmp.20180704.12

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AMA Style

Hua Ma. Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields. Am J Mod Phys. 2018;7(4):131-135. doi: 10.11648/j.ajmp.20180704.12

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@article{10.11648/j.ajmp.20180704.12,
  author = {Hua Ma},
  title = {Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields},
  journal = {American Journal of Modern Physics},
  volume = {7},
  number = {4},
  pages = {131-135},
  doi = {10.11648/j.ajmp.20180704.12},
  url = {https://doi.org/10.11648/j.ajmp.20180704.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20180704.12},
  abstract = {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.},
 year = {2018}
}

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TY  - JOUR
T1  - Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields
AU  - Hua Ma
Y1  - 2018/08/02
PY  - 2018
N1  - https://doi.org/10.11648/j.ajmp.20180704.12
DO  - 10.11648/j.ajmp.20180704.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 131
EP  - 135
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20180704.12
AB  - 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.
VL  - 7
IS  - 4
ER  -

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Author Information

Hua Ma

College of Science, Air Force University of Engineering, Xi’an, People’s Republic of China

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APA Style

Hua Ma. (2018). Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields. American Journal of Modern Physics, 7(4), 131-135. https://doi.org/10.11648/j.ajmp.20180704.12

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ACS Style

Hua Ma. Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields. Am. J. Mod. Phys. 2018, 7(4), 131-135. doi: 10.11648/j.ajmp.20180704.12

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AMA Style

Hua Ma. Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields. Am J Mod Phys. 2018;7(4):131-135. doi: 10.11648/j.ajmp.20180704.12

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@article{10.11648/j.ajmp.20180704.12,
  author = {Hua Ma},
  title = {Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields},
  journal = {American Journal of Modern Physics},
  volume = {7},
  number = {4},
  pages = {131-135},
  doi = {10.11648/j.ajmp.20180704.12},
  url = {https://doi.org/10.11648/j.ajmp.20180704.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20180704.12},
  abstract = {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.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Quantization Principles Based on the Shielding Effect and Planck’s Constant in Gravitational Fields
AU  - Hua Ma
Y1  - 2018/08/02
PY  - 2018
N1  - https://doi.org/10.11648/j.ajmp.20180704.12
DO  - 10.11648/j.ajmp.20180704.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 131
EP  - 135
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20180704.12
AB  - 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.
VL  - 7
IS  - 4
ER  -

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