There is no rigorous and universally accepted definition of the term quantum space. Without however, it is generally understood as certain deformations of classical objects associated with algebraic groups. We can illustrate ...

Given a symplectic manifold M, geometric quantization assigns to real functions f 2 C1 (M) self-jointing operators bf on a Hilbert space such that the Poisson bracket defined by the symplectic form becomes the switch of ...

The generalized coherent states of Perelomov of the group pseudo-unitary 2 x 2-matrices with determinant equal to 1, SU(1; 1), have been widely studied for their importance in physics, but always on Hilbert spaces of ...

Kerin spaces as a generalization of Hilbert spaces, appear in the same way in different areas of physics where the main difference is the possibility of having an indefinite internal product and gain properties that in the ...

Given a differentiable manifold M and a mechanical system in the configuration space T M is possible to formulate the given mechanical system based in the Lagrangian and Hamiltonian formalism and study the equivalence ...

We study differential operators and multiplication operators associated to the momentum operator P and position operator Q of the quantum mechanics on 1 dimension. These operators are studied on the intervals [a; b], [0; ...

In this work we develope the basic concepts needed for K-theory of C_-algebras, presenting before, as an introduction, a discusion on vector bundles, topological K-theory and Serre- Swan’s Theorem; we conclude with the ...