Kurum Yazarı "Demir, Süleyman" Fizik Bölümü İçin Listeleme
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Kuaternion cebri ve kuaternionların matris temsillerine bir bakış
Demir, Süleyman; Özdaş, Kudret (2001)Bu çalışmada kuaternionların genel tanımı yapıldıktan sonra kuaternion-vektör ilişkisi incelenmiş ve kuaternion çarpımına ilişkin birçok yararlı eşitlik tanımlanmıştır. Daha sonra, kuaternionların matrislerle temsili ... -
Matrix realization of dual quaternionic electromagnetism
Demir, Süleyman (Versita, 2007)In this paper, a new representational model based on dual quaternionic matrices is proposed for classical electromagnetism. After demonstrating the isomorphic matrix representations of dual quaternions, Maxwell's equations ... -
Multifluid plasma equations in terms of hyperbolic octonions
Demir, Süleyman; Zeren, Erdinc (World Scientific Publ Co Pte LTD, 2018)Stimulating from the hyperbolic octonionic generalization of the Maxwell-type equations of compressible fluids, an alternative reformulation has been proposed for the analogous multifluid plasma equations. In this paper, ... -
A new approach to Lorentz invariance in electromagnetism with hyperbolic octonions
Tanışlı, Murat; Mert Kantar, Yeliz; Demir, Süleyman (Springer Heidelberg, 2012)In this study, after introducing the hyperbolic octonionic (counteroctonion) algebra and its properties, Maxwell's equations with magnetic monopole and currents, Lorenz conditions for the electric, magnetic fields and ... -
A new model for the reformulation of compressible fluid equations
Demir, Süleyman; Uymaz, A.; Tanışlı, Murat (Elsevier Science BV, 2017)Stimulating the biquaternionic generalization of electric and magnetic fields in electromagnetism, a new model has been proposed to present the Maxwell type equations of compressible fluids. The fluid wave equation has ... -
Octonic Form of Proca-Maxwell's Equations and Relativistic Derivation of Electromagnetism
Tolan, T.; Tanışlı, Murat; Demir, Süleyman (Springer/Plenum Publishers, 2013)We propose to write the Proca-Maxwell's equations, Klein-Gordon equation and electromagnetic energy conservation with magnetic monopole in terms of a new algebraic structure named as octon. The Lorentz transformations of ... -
Octonic formulations of Maxwell type fluid equations
Tanışlı, Murat; Demir, Süleyman; Şahin, Neslihan (Amer Inst Physics, 2015)Although the origins of electromagnetic theory and the fluid mechanics are completely different, the compressible ideal fluid equations can be expressed in a form analogous to that of electromagnetism. In this paper, the ... -
Octonic Gravitational Field Equations
Demir, Süleyman; Tanışlı, Murat; Tolan, Tülay (World Scientific Publ Co Pte LTD, 2013)Generalized field equations of linear gravity are formulated on the basis of octons. When compared to the other eight-component noncommutative hypercomplex number systems, it is demonstrated that associative octons with ... -
Octonic Massive Field Equations
Demir, Süleyman; Kekec, Seray (Springer/Plenum Publishers, 2016)In the present paper we propose the octonic form of massive field equations based on the analogy with electromagnetism and linear gravity. Using the advantages of octon algebra the Maxwell-Dirac-Proca equations have been ... -
Octonic massless field equations
Demir, Süleyman; Tanışlı, Murat; Kansu, Mustafa Emre (World Scientific Publ Co Pte LTD, 2015)In this paper, it is proven that the associative octons including scalar, pseudoscalar, pseudovector and vector values are convenient and capable tools to generalize the Maxwell-Dirac like field equations of electromagnetism ... -
Optical and electrical properties of capacitive coupled radio frequency Ar-H-2 mixture discharge at the low pressure
Tanışlı, Murat; Şahin, Neslihan; Younus, Maria; Rehman, Najeeb Ur; Demir, Süleyman (Amer Inst Physics, 2017)In this study, the electrical and optical properties and plasma's parameters of capacitive radio frequency (RF) discharge for the argon and hydrogen mixture at low pressure are investigated using optical emission spectroscopy ... -
Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra
Tanışlı, Murat; Kansu, Mustafa Emre; Demir, Süleyman (Springer/Plenum Publishers, 2014)In this paper, the real, complex octonion algebra and their properties are defined. The electromagnetic and gravito-electromagnetic equations with monopoles in terms of S and S' reference systems are presented in vector ... -
Reformulation of Multifluid Plasma Equations in Terms of Spacetime Algebra
Demir, Süleyman; Tanışlı, Murat; Şahin, Neslihan; Kansu, Mustafa Emre (Korean Physical Soc, 2018)Using the exact isomorphism between multifluid plasma theory and classical electromagnetism, we apply the theorems and techniques of spacetime algebra to the multifluid equations of a plasma in order to present a new ... -
Representation of electromagnetic and gravitoelectromagnetic Poynting theorems in higher dimensions
Mert Kantar, Yeliz; Tanışlı, Murat; Demir, Süleyman (TUBITAK, 2014)This study investigates whether the electromagnetic and gravitoelectromagnetic energy conservation equations are obtained together by using octonion algebra or not. Maxwell and Maxwell-like equations for linear gravity ... -
Sedenionic Formulation for Generalized Fields of Dyons
Demir, Süleyman; Tanışlı, Murat (Springer/Plenum Publishers, 2012)In this paper, the conic sedenionic formulation is presented for the unification of generalized field equations of dyons (electromagnetic theory) and gravito-dyons (linear gravity). Sedenionic definitions of generalized ... -
Space-time algebra for the generalization of gravitational field equations
Demir, Süleyman (Indian Acad Sciences, 2013)The Maxwell-Proca-like field equations of gravitolectromagnetism are formulated using space-time algebra (STA). The gravitational wave equation with massive gravitons and gravitomagnetic monopoles has been derived in terms ... -
Spacetime algebra for the reformulation of fluid field equations
Demir, Süleyman; Tanışlı, Murat (World Scientific Publ Co Pte LTD, 2017)In the light of the analogy between electromagnetism and fluid dynamics, the Maxwell-type equations of compressible fluids are reformulated on the basis of spacetime algebra. In this paper, it is proved that this algebra ... -
Spectroscopic study and numerical simulation of low-pressure radio-frequency capacitive discharge with argon downstream
Tanışlı, Murat; Rafatov, İsmail; Şahin, Neslihan; Mertadam, Sercan; Demir, Süleyman (Canadian Science Publishing, Nrc Research Press, 2017)In this study, the characteristic properties and plasma parameters of capacitive radio frequency (RF) argon (Ar) discharge and supplementary discharge at low pressure are investigated with optical emission spectroscopy ... -
Supersymmetric Quantum Mechanics and Euclidean-Dirac Operator With Complexified Quaternions
Tanışlı, Murat; Kansu, Mustafa Emre; Demir, Süleyman (World Scientific Publ Co Pte LTD, 2013)We propose an alternative formulation of the supersymmetric quantum mechanics and Euclidean Dirac and Dirac-Yang-Mills (DYM) operators in terms of complexified quaternions. 4 x 4 matrix representations of the complexified ...