ISSN (Print): 2333-4878

ISSN (Online): 2333-4886

Editor-in-Chief: Vishwa Nath Maurya

Website: http://www.sciepub.com/journal/AMP

   

Article

Proca-Maxwell Equations for Dyons with Quaternion

1Department of Physics, G.B. Pant University of Agriculture & Technology, Pantnagar-263145 (U.K.) India

2Department of Mathematics, Kumaun University, D.S.B. Campus Nainital-263001 (U.K.) India

3Department of Physics, H.N.B. Garhwal University, Pauri Campus Pauri-246001 (U.K.) India


Applied Mathematics and Physics. 2016, 4(1), 9-15
doi: 10.12691/amp-4-1-2
Copyright © 2016 Science and Education Publishing

Cite this paper:
B. C. Chanyal, S. K. Chanyal, Virendra Singh, A. S. Rawat. Proca-Maxwell Equations for Dyons with Quaternion. Applied Mathematics and Physics. 2016; 4(1):9-15. doi: 10.12691/amp-4-1-2.

Correspondence to: B.  C. Chanyal, Department of Physics, G.B. Pant University of Agriculture & Technology, Pantnagar-263145 (U.K.) India. Email: bcchanyal@gmail.com, bcchanyal@gbpuat.ac.in

Abstract

The quaternions are first hyper-complex numbers, having four-dimensional structure, which may be useful to express the 4-dimensional theory of dyons carrying both electric and magnetic charges. Keeping in mind t’Hooft’s monopole solutions and the fact that despite the potential importance of massive monopole, we discuss a connection between quaternionic complex field, to the generalized electromagnetic field equations of massive dyons. Starting with the Euclidean space-time structure and two four-components theory of dyons, we represent the generalized charge, potential, field and current source in quaternion form with real and imaginary part of electric and magnetic constituents of dyons. We have established the quaternionic formulation of generalized complex-electromagnetic fields equations, generalized Proca-Maxwell’s (GPM) equations and potential wave equations for massive dyons. Thus, the quaternion formulation be adopted in a better way to understand the explanation of complex-field equations as the candidate for the existence of massive monopoles and dyons where the complex parameters be described as the constituents of quaternion.

Keywords

References

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Article

Characterization of Dose Rates and Its Internal Fluctuation Using Frequency Distribution Function of Background Radiation Data

1Department of Physics, Federal University of Technology, Akure, Nigeria


Applied Mathematics and Physics. 2016, 4(1), 16-25
doi: 10.12691/amp-4-1-3
Copyright © 2016 Science and Education Publishing

Cite this paper:
Dinyo Enoch Omosehinmi, Adeseye Muyiwa Arogunjo. Characterization of Dose Rates and Its Internal Fluctuation Using Frequency Distribution Function of Background Radiation Data. Applied Mathematics and Physics. 2016; 4(1):16-25. doi: 10.12691/amp-4-1-3.

Correspondence to: Dinyo  Enoch Omosehinmi, Department of Physics, Federal University of Technology, Akure, Nigeria. Email: dk_focus@yahoo.com

Abstract

The use of distribution function in characterization of data technique, to evaluate and estimate dose rates from background radiation in Akure informed this study. The mean and fluctuation in mean of possible exposure due to the members of the general public in Akure was deduced by statistically calculating the mean and fluctuation in mean of 166 sample points. Kindenoo blueGeiger PG-15 detector and Garmin GPSmap 62s were used for the research. The Dose Rate (DR) and its internal fluctuation range between 0.16±0.01μSv/h – 0.37±0.04μSv/h in air, and Annual Effective Dose Equivalent, AEDE between 0.31±0.02mSv/y – 0.71±0.08mSv/y; the estimated mean outdoor AEDE 0.50±0.06mSv/y for members of the general public in Akure is below the UNSCEAR and ICRP recommended 1mSv/y annual exposure dose rate. All the estimated AEDE from measured dose rates at the chosen locations have values far lower than the 100mSv limit of admissible low-level radiation. The skewness and kurtosis of DR distribution is 0.134 and 0.251 with standard error 0.188 and 0.375. The predicted probability function of observing a specific count x in this study is P(x)=0.7826.

Keywords

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Article

The Existence and Stability of Inclusion Equations Type of Stochastic Dynamical System Driven by Mixed Fractional Brownian Motion in a Real Separable Hilbert Space

1Department of Mathematics, College of Education Almustansryah University


Applied Mathematics and Physics. 2017, 5(1), 1-10
doi: 10.12691/amp-5-1-1
Copyright © 2017 Science and Education Publishing

Cite this paper:
Salah H Abid, Sameer Q Hasan, Zainab A Khudhur. The Existence and Stability of Inclusion Equations Type of Stochastic Dynamical System Driven by Mixed Fractional Brownian Motion in a Real Separable Hilbert Space. Applied Mathematics and Physics. 2017; 5(1):1-10. doi: 10.12691/amp-5-1-1.

Correspondence to: Sameer  Q Hasan, Department of Mathematics, College of Education Almustansryah University. Email: dr.sameer_kasim @yahoo.com

Abstract

In this paper we presented The existence and stability of inclusion equations type of stochastic dynamical system driven by mixed fractional Brownian motion in a real separable Hilbert space with an illustrative example.

Keywords

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