Disk199 发表于 2025-3-23 11:29:46
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https://doi.org/10.1007/978-3-7643-8933-8ion of its arguments. Throughout this section we will consider arbitrary vector fields ., which extend continuously and differentiably to ℊ., with . . . . being .(1). In particular, in several calculations we will not assume that . is a Killing vector of the background unless explicitly stated otherwise.情感脆弱 发表于 2025-3-23 22:04:12
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Book 2002eld, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adeqLIMIT 发表于 2025-3-24 02:29:05
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Preliminaries,case would involve delicate considerations concerning the manifold structure of the spaces at hand; in particular, one would have to introduce the notion of tangent vectors, differential forms, as well as an appropriate notion of non-degeneracy and closedness of the symplectic form. We do not wish tSUE 发表于 2025-3-24 13:17:11
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Radiating scalar fields,scalar fields on . can be viewed as sections of a trivial bundle . In this theory a natural choice for the Lagrangian is the one, which is manifestly invariant under Poincaré transformations: .% MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXgatC% vAUfeBSjuyZL2yd9gzLbvyNv2Ca喊叫 发表于 2025-3-24 20:47:17
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The Physical Chemistry of MEMBRANESmasses; in field theories one is interested in the energy of field configurations. A unified treatment of this question, which applies both to mechanics and to field theory, proceeds through a Hamiltonian formalism. We will shortly review below how such a procedure is carried out in the theory of sc