The infinitesimal generator of this group is the system Hamiltonian.
2.
Lie algebras can be generated by a generating set of infinitesimal generators.
3.
There is a unique maximal infinitesimal generator is " V ".
4.
Feller processes ( or transition semigroups ) can be described by their infinitesimal generator.
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However, for a rigorous treatment, a meaning must be given to the infinitesimal generator of the semigroup.
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In the language of flow theory, the vector field X is called the " infinitesimal generator ".
7.
A characterization of operators that can occur as the infinitesimal generator of Feller processes is given by the Hille-Yosida theorem.
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For a strongly continuous semigroup which is not a uniformly continuous semigroup the infinitesimal generator " A " is not bounded.
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As an example, the number of infinitesimal generators of the corresponding Lie algebras of SU ( 2 ) and SU ( 3 ) are three and eight respectively.
10.
Is an infinitesimal generators ( a basis for the Lie algebra of the group ); with explicit if not always useful information given in the Baker Campbell Hausdorff formula.
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