ACORN 发表于 2025-3-21 16:22:17
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On Hilbert‘s Sixth Problem978-3-030-83837-9Series ISSN 0166-6991 Series E-ISSN 2542-8292endure 发表于 2025-3-22 04:14:03
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Lagrangian FormulationLet’s consider the (very general) example. Consider the motion of a system of . material points.Visual-Field 发表于 2025-3-22 14:54:56
Hamilton’s EquationsAgain we meet our notational convention for the indices of vector-like objects that sort of behave like tangent vectors to a curve of coordinates ..(.) with components.FRAX-tool 发表于 2025-3-22 20:46:35
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From Classical to QuantumWe have sketched here how it is done: take a single particle in 3-space; its Hamilton–Jacobi equation is, from the general Hamilton–Jacobi equation.阻挠 发表于 2025-3-23 07:30:12
Field TheoryThe concept stems from a construction based on an infinite coupling of harmonic oscillators (and one later proves that quantized electromagnetism can be seen as a countable infinite collection of harmonic oscillators).