In a thorough paper Kucha r has examined the canonical reduction of the most general action functional describing the geometrodynamics of the maximally extended Schwarzschild geometry. This reduction yields the true degrees of freedom for spherically symmetric general relativity. The essential technical ingredient in Kucha r's analysis is a canonical transformation to a certain chart on the gra...

The method of continuous canonical transformation is applied to the double exchange model with a purpose to eliminate the interaction term responsible for non conservation of magnon number. Set of differential equations for the effective Hamiltonian parameters is derived. Within the lowest order (approximate) solution we reproduce results of the standard (single step) canonical transformation. ...

In the mirror neuron system, the canonical neurons play a role in object shape and observer-object relation recognition. However, there are almost no functional models of canonical neurons towards the integration of these two functions. We attempt to represent the relative position between the object and the robot in a neural network model. Although at present some generative models based on th...

The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsys...

The Bogoliubov transformation for a monopole boson induces an unitary connecting the Fock spaces of initial and correlated boson-s. Here we provide very simple method deriving analytical expression overlap matrix basis states generating two spaces.