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3 articles for “Hamiltonian Dynamics”
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Hamiltonian Mathematical Modeling of Nonlinear Photonic Dynamics for Advanced Optical Communication Systems
Abstract: With the rising requirement for high capacity, low latency and energy-efficient optical communication, the need for strict mathematical models of the nonlinear dynamics of photonic systems has grown. In this study, a mathematical framework based on the Hamiltonian formalism is developed for the characterization of the nonlinear dynamics in advanced optical communication systems. The proposed formulation is the result of a natural evolution of optical amplitude, phase, dispersion, nonlinear interaction …
Published in Trends in Opto-electro & Optical Communication · Vol. 16, Issue 3, 2026 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
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Ferromagnetic Resonance in II-VI Diluted Magnetic Semiconductor, ZnxTM1-xO Nanostructures
Abstract: The ferromagnetic resonance in II-VI diluted magnetic semiconductor Zn1 xMnxO was studied theoretically. The model employed to manipulate the Hamiltonian of the system which is the Heisenberg Model. By considering a cloud of electron gas and employing equation of state, the fractions of demagnetization factors was determined. For FMR probes, the sample magnetization results from the magnetic moments of dipolar-coupled but unpaired electrons. The resulting frequency versus magnetization curve is …
Published in Nano Trends – A Journal of Nano Technology & Its Applications · Vol. 24, Issue 1, 2022 · pp. 1–16 Read article