کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1867238 1038245 2010 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On urn models, non-commutativity and operator normal forms
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
On urn models, non-commutativity and operator normal forms
چکیده انگلیسی

Non-commutativity is ubiquitous in mathematical modeling of reality and in many cases same algebraic structures are implemented in different situations. Here we consider the canonical commutation relation of quantum theory and discuss a simple urn model of the latter. It is shown that enumeration of urn histories provides a faithful realization of the Heisenberg–Weyl algebra. Drawing on this analogy we demonstrate how the operator normal forms facilitate counting of histories via generating functions, which in turn yields an intuitive combinatorial picture of the ordering procedure itself.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 374, Issue 48, 1 November 2010, Pages 4808–4813
نویسندگان
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