sigma09-003. 563KB Jun 04 2011 12:10:21 AM
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Key words: formulation of Quantum Mechanics; cryptohermitian operators of observables; triplet of the representations of the Hilbert space of states; the covariant picture of
There is also a generalization of the Cole–Hopf transformation that produces a solution of the (scalar or matrix) KP hierarchy from two solutions of the matrix linear heat
Then we relate, the radial part of the d -dimensional conformal mechanics with the Klein model of the Lobachevsky space, which is completely similar to the
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..
In the affine case, a classification is only known in the subcat- egory of modules with finite-dimensional weight spaces ([18] for nonzero charge and [6] for zero charge), and
On the other hand, for transitive Lie pseudo-group actions, the two sets of structure equations are equivalent since the relations ( 2.10 ) provide a one-to-one correspondence
Let us demonstrate this algebraic prolongation procedure in the case of the equivalence of second order ordinary differential equations with respect to the group of
As we shall see, the equivalence problem for polynomial subspaces furnishes interesting analogues and extensions of certain concepts from the classical invariant theory of
