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Titlebook: Classical Mechanics; Hamiltonian and Lagr Alexei Deriglazov Book 2017Latest edition Springer International Publishing Switzerland 2017 Cano

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Book 2017Latest editionion in context of general relativity. Also new for this edition isthe inclusion of problem sets and solutions to aid in the understanding of the material presented..The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student ne
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,Classical and Quantum Relativistic Mechanics of a Spinning Particle,Besides, it essentially fixes the possible form of interaction with external fields. We show that so called vector model of spin represents a unified conceptual framework, allowing to collect and tie together a lot of remarkable ideas, observations and results accumulated over almost a century of st
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Canonical Transformations of Two-Dimensional Phase Space,nd a theory of integral invariants [1, 12, 14]. We prefer to deduce all the properties of canonical transformations by direct analysis of the canonicity conditions given by Eqs. (.) and (.). For convenience, we have made the subject matter of the next chapter independent from this one, so the reader
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Integral Invariants,ltonian equations. We discuss the basic Poincaré-Cartan and Poincaré integral invariants that represent line integrals of a special vector field defined on extended phase space. The integrals retain the same value for any closed contour taken on a given two-dimensional surface formed by solutions to
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Transformations, Symmetries and Noether Theorem,oted to discussion of the first Noether theorem (Noether, Invariant variation problems. Gott. Nachr. . (1918); Transp. Theory Stat. Phys. . (3), 183, 1971) which gives the relationship between the existence of conservation laws for the system in question, and global symmetries of the associated acti
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