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. A principle is proposed according to which the dynamics of a quantum particle in a one-dimensional configuration space (OCS) is determined by a variational problem for two functionals: one is based…
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An approach to the quantization of gravity in the presence matter is examined which starts from the classical Einstein-Hilbert action and matter approximated by point particles minimally coupled to…
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We construct a relativistic spinning-particle Lagrangian where spin is considered as a composite quantity constructed on the base of a non-Grassmann vector-like variable. The variational problem…
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We construct a relativistic spinning-particle Lagrangian where spin is considered as a composite quantity constructed on the base of a non-Grassmann vector-like variable. The variational problem…
Canonical Transformations of Two-Dimensional Phase Space
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It is common in textbooks on classical mechanics to discuss canonical transformations on the basis of the integral form of the canonicity conditions and a theory of integral invariants [1, 12, 14].…
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An approach to the quantization of gravity in the presence of matter is examined which starts from the classical Einstein–Hilbert action and matter approximated by “point” particles minimally coupled…
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The Lagrangian formulation of classical mechanics is extremely useful for a vast array of physics problems encountered in the undergraduate and graduate physics curriculum. Unfortunately, many…
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It was mentioned in Sect. 2.5 that conservation laws play an important role in the analysis of classical and quantum systems. This chapter is mainly devoted to discussion of the Noether theorem,…
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