sigma09-013. 499KB Jun 04 2011 12:10:23 AM
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first, how we embed the finite-dimensional fermion system into a certain infinite one and how we rebuilt the TDHFT on it; second, how any algebraic mechanism works behind particle
In Theorem 4 below we prove that the space of shifted singular polynomials is isomorphic to that of singular polynomials as C S n -modules, and it has a basis consisting of
Thus, an integrable hydrodynamic chain possesses the properties that are well-known in the theory of finite-component systems (dispersive or dispersionless), such as infinite series
We are going to apply this definition of quantization to infinite-dimensional classical systems, in which both the phase space and algebra of observables are infinite-dimensional..
Let us briefly describe the framework of the Dunkl theory of differential-difference operators on R d related to finite reflection groups.. The
• The statement of [5] that the Hamiltonian of the oscillator in the equal frequency limit represents a set of Jordan blocks of infinite dimension is compatible with the statement
It is known, that the moduli space of flat bundles are deformation (the Whitham deformation) of the phase spaces of the Hitchin integrable systems – the moduli spaces of the
We make use of a general method for solving linear differential equations of arbitrary order to construct new representations for the solutions of the known second order
