Maslov symbol for the density matrix in the case of quantization of pairs

Ultrasecondary quantization methods are applied to the equation for a density matrix. The identity for an ultrasecondary quantized hamiltonian was obtained, which allows us to define the true symbol of the equation for a density matrix by quantization by pairs. The investigation of the corresponding system of variation equations shows that this quantum system has a Maslov superfluidity model spectrum.