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2 articles for “Dirac-Hamiltonian”
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Study of Phase Velocity and Magneto Plasmon Dispersion on the Surface of Carbon Nanotubes in Low Energy State
Abstract: Several authors have worked on theoretical and experimental plasmon excitations. The researchers have been studying the dispersion relation of magneto plasmon in the low energy state on a cylindrical surface of carbon nanotube obtained with the help of linear-angular momentum transfer. Here, we demonstrate the Dirac-like Hamiltonian equation for carbon nanotubes in the presence and absence of a parallel applied magnetic field. We assume the cylindrical carbon nanotube is infinitesimally …
Published in Research & Reviews : Journal of Physics · Vol. 11, Issue 3, 2022 · pp. 21–25 Read article
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Complex Space-Time and the Structure of Relativistic Quantum Theory
Abstract: Relativistic quantum mechanics was developed to reconcile the principles of quantum mechanics with Einstein’s theory of relativity. Despite its success in describing high-energy particles, the theory continues to face unresolved conceptual and mathematical difficulties, particularly in relation to the nature of time, causality, and relativistic consistency. In recent years, the idea of extending space-time into the complex domain has emerged as a useful and potentially meaningful approach to these problems. …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 22–27 Read article