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WORLD SCIENTIFIC eBooks

THE HUBBARD HAMILTONIAN IN PHYSICS

Published Mar 1, 1992• 0 citations
Publisher
DOI
10.1142/9789814360371_0001

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We consider a scaling limit of the Hamiltonian of the generalized spin-boson (GSB) model which is an abstract quantum field theoretical model of particles interacting with a Bose field. Applying it to a Hamiltonian of the field of the nuclear force with isospin, we obtain an effective potential of the interaction between nucleons. Also, we discuss an application to a Hamiltonian of a lattice spin system interacting with a Bose field and obtain a spin–spin interaction in the vacuum of the Bose field. An interaction model between a Fermi field and a Bose field yields an interaction in the vacuum of the Bose field.
STRATA–KAIROS PHYSICS Abstract Strata–Kairos Physics proposes a propagation-centered reformulation of physical law. Ordered strata replace time as the primary organizing parameter. The framework preserves Hamiltonian structure, conservation laws, and empirical adequacy while resolving interpretational paradoxes tied to time-based formulations. Core Principle Physical reality unfolds through ordered propagation (Kairos), not through an external clock. Space, causality, and dynamics emerge from constraint-governed reconfiguration across strata. Mathematical Basis Time derivatives are replaced by propagation-order derivatives. Hamiltonian dynamics, action principles, and angular momentum conservation remain intact. Implications The framework unifies classical mechanics, quantum phenomena, and chaotic systems under a single propagation-based ontology.
STRATA–KAIROS PHYSICS Submission-Ready Conceptual Framework Abstract Strata–Kairos Physics proposes a propagation-centered reformulation of physical law. Ordered strata replace time as the primary organizing parameter. The framework preserves Hamiltonian structure, conservation laws, and empirical adequacy while resolving interpretational paradoxes tied to time-based formulations. Core Principle Physical reality unfolds through ordered propagation (Kairos), not through an external clock. Space, causality, and dynamics emerge from constraint-governed reconfiguration across strata. Mathematical Basis Time derivatives are replaced by propagation-order derivatives. Hamiltonian dynamics, action principles, and angular momentum conservation remain intact. Implications The framework unifies classical mechanics, quantum phenomena, and chaotic systems under a single propagation-based ontology.