کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899166 1400072 2016 37 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Wigner–Eckart Theorem for Reducible Symmetric Cartesian Tensor Operators
ترجمه فارسی عنوان
قضیه Wigner-Eckart برای اپراتورهای تنسور دكارتي متقارن قابل تقلیل
کلمات کلیدی
تانسور کروی؛ تانسور دكارتي؛ هارمونیک کروی؛ تکانه زاویه ای؛ قضیه Wigner-Eckart
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی

We explicitly establish a unitary correspondence between spherical irreducible tensor operators and Cartesian tensor operators of any rank. That unitary relation is implemented by means of a basis of integer-spin wave functions that constitute simultaneously a basis of the spaces of Cartesian and spherical irreducible tensors. As a consequence, we extend the Wigner–Eckart theorem to Cartesian irreducible tensor operators of any rank, and to totally symmetric reducible ones. We also discuss the tensorial structure of several standard spherical irreducible tensors such as ordinary, bipolar and tensor spherical harmonics, spin-polarization operators and multipole operators. As an application, we obtain an explicit expression for the derivatives of any order of spherical harmonics in terms of tensor spherical harmonics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 78, Issue 1, August 2016, Pages 69–105
نویسندگان
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