Quantization of affine bodies. Theory and applications in mechanics of structured media

Details Quantization of affine bodies. Theory and applications in mechanics of structured media Quantization of affine bodies. Theory and applications in mechanics of structured media

2008-02-22

arxiv.org/abs/0802.3280v1

Material Substructures in Complex Bodies: From Atomic Level To Continuum, Eds. Gianfranco Capriz and Paolo Maria Mariano, Else

Physics

Mathematical Physics

Scientific paper

Discussed is kinematics and dynamics of bodies with affine degrees of freedom, i.e., homogeneously deformable "gyroscopes". The special stress is laid on the status and physical justification of affine dynamical invariance. On the basis of classical Hamiltonian formalism the Schroedinger quantization procedure is performed. Some methods of the partial separation of variables, analytical treatment and search of rigorous solutions are developed. The possiblity of applications in theory of structured media, nanophysics, and molecular physics is discussed.

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