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20142024
most citedA comparative study of quaternionic rotational Dirac equation and its interpretation

30 citations

Showing physics.gen-phShow all

9 papers · 1 filter

physics.gen-ph2024

On the existence of quaternion-handedness for the spinor solutions of the Dirac and Majorana neutrinos

B. C. Chanyal, Sayyam Murari

This study explores the application of quaternionic left and right-handed algebraic frameworks to discuss the neutrino-handedness behavior. The generalized left and right-handed Di…

physics.gen-ph2024★ 1 cited

Z_2 Graded Lie Algebra of Quaternions and Superconformal Algebra in D=4 dimensions

Bhupendra C. S. Chauhan, Pawan Kumar Joshi, B. C. Chanyal

In the present discussion, we have studied the Z2-grading of quaternion algebra (H). We have made an attempt to extend the quaternion Lie algebra to the graded Lie algebra by using…

physics.gen-ph2023★ 4 cited

A possibility of Klein Paradox in quaternionic (3+1) frame

Geetanjali Pathak, B. C. Chanyal

In light of the significance of non-commutative quaternionic algebra in modern physics, the current study proposes the existence of the Klein paradox in the quaternionic (3+1)-dime…

physics.gen-ph2022★ 7 cited

Generalized quaternionic free rotational Dirac equation and spinor solutions in the electromagnetic field

Shikha Bhatt, B. C. Chanyal

Starting with the quaternionic Minkowski space-time and its four-vector representation, a rotational analogue of the quaternionic Dirac equation in the electromagnetic field is dev…

physics.gen-ph2021★ 11 cited

On the quaternion transformation and field equations in curved space-time

B. C. Chanyal

In this paper, we use four-dimensional quaternionic algebra to describing space-time field equations in curvature form. The transformation relations of a quaternionic variable are…

physics.gen-ph2019★ 24 cited

Quaternionic approach on the Dirac-Maxwell, Bernoulli and Navier-Stokes equations for dyonic fluid plasma

B. C. Chanyal

Applying the Hamilton's quaternion algebra, we propose the generalized electromagnetic-fluid dynamics of dyons governed by the combination of the Dirac-Maxwell, Bernoulli and Navie…

physics.gen-ph2019★ 30 cited

A comparative study of quaternionic rotational Dirac equation and its interpretation

B. C. Chanyal, Sandhya

In this study, we develop the generalized Dirac like four-momentum equation for rotating spin-half particles in four-dimensional quaternionic algebra. The generalized quaternionic…

physics.gen-ph2018★ 23 cited

Quaternionic approach to dual Magneto-hydrodynamics of dyonic cold plasma

B. C. Chanyal, Mayank Pathak

The dual magneto-hydrodynamics of dyonic plasma describes the study of electrodynamics equations along with the transport equations in the presence of electrons and magnetic monopo…

physics.gen-ph2017★ 29 cited

A new development in quantum field equations of dyons

B. C. Chanyal

In this study, we describe a novel approach to quantum phenomena of the generalized electromagnetic fields of dyons with quaternionic analysis. Starting with quaternionic quantum w…