On the Approximation of Contractive Semigroups of Operators in Discretizable Hilbert Spaces

Details On the Approximation of Contractive Semigroups of Operators in Discretizable Hilbert Spaces On the Approximation of Contractive Semigroups of Operators in Discretizable Hilbert Spaces

2010-12-22

arxiv.org/abs/1012.5106v1

Mathematics

Numerical Analysis

15 pages

Scientific paper

The Computation of discrete Contractive semigroups becomes necessary when we deal with several types of evolution equations in Discretizable Hilbert spaces, in this work we study some properties of the discrete forms of the contractive semigroups induced by an approximation scheme in a prescribed Hilbert space, we also deal with the implementation of computational methods in this Hilbert Space and apply some of the results presented here in the Heisenberg representation of quantum dynamical semigroups.

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