کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9867118 | 1529969 | 2005 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A new construction of quasi-solvable quantum many-body systems of deformed Calogero-Sutherland type
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We make a new multivariate generalization of the type A monomial space of a single variable. It is different from the previously introduced type A space of several variables which is an sl(M+1) module, and we thus call it type Aâ². We construct the most general quasi-solvable operator of (at most) second-order which preserves the type Aâ² space. Investigating directly the condition under which the type Aâ² operators can be transformed to Schrödinger operators, we obtain the complete list of the type Aâ² quasi-solvable quantum many-body systems. In particular, we find new quasi-solvable models of deformed Calogero-Sutherland type which are different from the Inozemtsev systems. We also examine a new multivariate generalization of the type C monomial space based on the type Aâ² scheme.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 320, Issue 1, November 2005, Pages 199-225
Journal: Annals of Physics - Volume 320, Issue 1, November 2005, Pages 199-225
نویسندگان
Toshiaki Tanaka,