Affine symmetry in mechanics of collective and internal modes. I: Classical models
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Publication:1774457
DOI10.1016/S0034-4877(04)80026-0zbMath1134.70314arXiv0802.3027MaRDI QIDQ1774457
Publication date: 9 May 2005
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.3027
Dynamical systems in solid mechanics (37N15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
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Classical and quantized affine models of structured media ⋮ Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies ⋮ Constraints and symmetry in mechanics of affine motion ⋮ Affine symmetry in mechanics of collective and internal modes II: Quantum models ⋮ Motion of test bodies with internal degrees of freedom in non-Euclidean spaces ⋮ Quantization of systems with internal degrees of freedom in two-dimensional manifolds ⋮ Quantization of affinely-rigid bodies with degenerate dimension ⋮ Schrödinger and related equations as Hamiltonian systems, manifolds of second-order tensors and new ideas of nonlinearity in quantum mechanics ⋮ Quantization of two-dimensional affine bodies with stabilized dilatations ⋮ Dynamics of affinely deformable bodies from the standpoint of theoretical mechanics and differential geometry ⋮ Mechanics of systems of affine bodies. Geometric foundations and applications in dynamics of structured media ⋮ Dynamics of affinely-rigid bodies with degenerate dimension
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