1302.2908 (Dmitri Yerchuck et al.)

Symmetry study of physical differential equations    [PDF]

Dmitri Yerchuck, Alla Dovlatova, Andrey Alexandrov

The symmetry study of differential equations has shown, that differential equations, which are invariant under transformations of groups, which are symmetry groups of mathematical numbers (considered in the frame of the number theory) determine the mathematical nature of the quantities, incoming in given equations. It allowed to proof the statement, that to any mechanical quantity can be set up in the correspondence the Hermitian matrix by quantization.

View original: http://arxiv.org/abs/1302.2908