Lagrangian, Hamiltonian
No mentions found
This entity hasn't been tracked yet, or Iris is still building its knowledge base.
Related Articles from SNS
A geometric $q$-analogue of Hamiltonian Monte Carlo
arXiv:2512.13246v3 Announce Type: replace Abstract: Hamiltonian Monte Carlo (HMC) generates efficient Markov transitions by combining Hamiltonian dynamics with a Metropolis correction. This paper develops a geometric \(q\)-analogue of HMC by replacing classical Hamiltonian dynamics with a \(q\)-deformed Hamiltonian system arising from \(q\)-calculus. Starting from a Lagrangian formulation, we derive the corresponding \(q\)-Hamiltonian equations and prove the formal invariance of the...
First-Principles-Based Grand Unified Theory (GUT) for Micro-Macro Modal Quantization (MQ)--Part II: Heisenberg-Schrodinger-Dirac Pictures, Act 1
arXiv:1804.09246v2 Announce Type: replace Abstract: This series of papers are devoted to establishing a first-principles-based grand unified theory (GUT) for macroscopic modal quantization (MMQ) or traditionally called eigenmode analysis (EMA) in electrodynamics. This paper focuses on outlining the Schrodinger picture of the GUT. The physical picture and mathematical formalism of the energy-based MMQ are reviewed simply, and an MMQ-oriented numerical method--diagonalizing energy source...
Towards a Framework for Social Mechanics
Announce Type: replace Abstract: Social physics explores the possibility that mathematical structures developed in physics may provide useful descriptions of certain social phenomena. In this work, we propose an effective mechanical framework for modelling social change in terms of positions in a space of social stances, together with concepts analogous to motion, inertia, interaction, and force. A central feature of the framework is the introduction of position-dependent inertial responses,...