کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1856339 1529952 2007 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Newton–Leibniz integration for ket–bra operators (III)—Application in fermionic quantum statistics
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Newton–Leibniz integration for ket–bra operators (III)—Application in fermionic quantum statistics
چکیده انگلیسی

The Newton–Leibniz integration over Dirac’s ket–bra operators introduced in Ref. [Hong-yi Fan, Hai-liang Lu, Yue Fan, Ann. Phys. 321 (2006) 480–494] is generalized to Newton–Leibniz–Berezin integration over fermionic ket–bra projection operators, the corresponding technique of integration within an ordered product (IWOP) of Fermi operators is proposed which is then used to develop fermionic quantum statistics. The generalized partition function formula of multi-mode quadratic interacting fermion is derived via the fermionic coherent state representation and the IWOP technique. The two-mode fermionic squeezing operators and their group property studied by their fermionic coherent state representation as well as fermionic permutation operator are also deduced in this way. Thus Dirac’s symbolic method for Fermi system can also be developed, which exhibits Bose-Fermi supersymmetry in this aspect.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 322, Issue 4, April 2007, Pages 886–902
نویسندگان
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