کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1843820 | 1031606 | 2011 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Jack polynomial fractional quantum Hall states and their generalizations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Jack polynomial fractional quantum Hall states and their generalizations Jack polynomial fractional quantum Hall states and their generalizations](/preview/png/1843820.png)
چکیده انگلیسی
In the study of fractional quantum Hall states, a certain clustering condition involving up to four integers has been identified. We give a simple proof that particular Jack polynomials with α=−(r−1)/(k+1)α=−(r−1)/(k+1), (r−1)(r−1) and (k+1)(k+1) relatively prime, and with partition given in terms of its frequencies by [n00(r−1)sk0r−1k0r−1k⋯0r−1m][n00(r−1)sk0r−1k0r−1k⋯0r−1m] satisfy this clustering condition. Our proof makes essential use of the fact that these Jack polynomials are translationally invariant. We also consider nonsymmetric Jack polynomials, symmetric and nonsymmetric generalized Hermite and Laguerre polynomials, and Macdonald polynomials from the viewpoint of the clustering.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 843, Issue 1, 1 February 2011, Pages 362–381
Journal: Nuclear Physics B - Volume 843, Issue 1, 1 February 2011, Pages 362–381
نویسندگان
Wendy Baratta, Peter J. Forrester,