Progress in Classical and Quantum Variational Principles

作者: C G Gray , G Karl , V A Novikov

DOI: 10.1088/0034-4885/67/2/R02

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摘要: We review the development and practical uses of a generalized Maupertuis least action principle in classical mechanics, which is varied under constraint fixed mean energy for trial trajectory. The original (Euler-Lagrange) constrains at every point along equivalent to Hamilton's principle. Reciprocal principles are also derived both Hamilton principles. Principle limit Schrodinger's variational wave very useful solve problems semiclassical complete analogy with quantum Rayleigh-Ritz method. Classical, calculations carried out number systems, results compared. Pedagogical as well research used examples, include nonconservative relativistic systems.

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