Combinatorical and Algebraic Structures Seminar
Session details
Date: | 11.5.2007 |
Speaker: | Pavel Blasiak, Institute of Nuclear Physics, Krakow |
Title: | Normal Ordering and Graphs |
Abstract: | (spoluautoři: A. Horzela) We address the issue of correspondence schemes based on combinatorial realizations of the operator algebras in Quantum Theory. Non-commutative structures of a theory are investigated using methods of combinatorial analysis which provide the link between operators of Quantum Theory and graphs. We consider ladder structures of annihilation and creation operators in the occupation number representation and tackle the ordering problems. To resolve the ambiguity of operator representation we choose the normal order of annihilators and creators in the expressions and thus put the problem on purely combinatorial grounds. |
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