On three-dimensional rotational averages of odd-rank tensors
Mathematical Physics
2019-09-04 v1 math.MP
Abstract
The recent growing interest in nonlinear optical spectroscopy in optically active medium demands the three-dimensional rotational average of high-rank tensors. In the present paper, we present a new method for finding the rotational average of odd-rank tensors in an overcomplete basis of isotropic tensors. The method is successfully applied to the rotational averages of tensors of rank 5,7,9,11.
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Cite
@article{arxiv.1901.00458,
title = {On three-dimensional rotational averages of odd-rank tensors},
author = {Tuguldur Kh. Begzjav and Reed Nessler and Marlan O. Scully and Girish S. Agarwal},
journal= {arXiv preprint arXiv:1901.00458},
year = {2019}
}
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9 pages