| dbo:abstract |
Die CAR-Algebra ist eine im mathematischen Gebiet der Funktionalanalysis betrachtete Algebra. Es handelt sich um eine C*-Algebra, die eng mit den in der Quantenmechanik untersuchten kanonischen Antivertauschungsrelationen (engl. canonical anticommutation relation, daher der Name CAR) verbunden ist und daher auch Fermionenalgebra genannt wird. (de) In mathematics and physics CCR algebras (after canonical commutation relations) and CAR algebras (after canonical anticommutation relations) arise from the quantum mechanical study of bosons and fermions respectively. They play a prominent role in quantum statistical mechanics and quantum field theory. (en) ККС-алгебры (основанные на канонических коммутационных соотношениях) и КАС-алгебры (основанные на канонических антикоммутационных соотношениях) используются в математическом аппарате квантовой механики, квантовой статистической механики и квантовой теории поля при описании статистики и наблюдаемых свойств всех элементарных частиц: бозонов и фермионов, соответственно.. (ru) |
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| rdfs:comment |
Die CAR-Algebra ist eine im mathematischen Gebiet der Funktionalanalysis betrachtete Algebra. Es handelt sich um eine C*-Algebra, die eng mit den in der Quantenmechanik untersuchten kanonischen Antivertauschungsrelationen (engl. canonical anticommutation relation, daher der Name CAR) verbunden ist und daher auch Fermionenalgebra genannt wird. (de) In mathematics and physics CCR algebras (after canonical commutation relations) and CAR algebras (after canonical anticommutation relations) arise from the quantum mechanical study of bosons and fermions respectively. They play a prominent role in quantum statistical mechanics and quantum field theory. (en) ККС-алгебры (основанные на канонических коммутационных соотношениях) и КАС-алгебры (основанные на канонических антикоммутационных соотношениях) используются в математическом аппарате квантовой механики, квантовой статистической механики и квантовой теории поля при описании статистики и наблюдаемых свойств всех элементарных частиц: бозонов и фермионов, соответственно.. (ru) |
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CAR-Algebra (de) CCR and CAR algebras (en) ККС и КАС алгебры (ru) |
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