caa a22 4500 469099852 CHVBK 20180323133041.0 cr unu---uuuuu 170328e19920701xx s 000 0 eng 10.1007/BF00406549 doi (NATIONALLICENCE)springer-10.1007/BF00406549 Molin Paul Physique Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut Application of the star-product method to the angular momentum quantization [Elektronische Daten] [Paul Molin] We define a *-product on ℝ3 and solve the polarization equation f*C=0 where C is the Casimir of the coadjoint representation of SO(3). We compute the action of SO(3) on the space of solutions. We then examine the case of non-zero eigenvalues of C, in order to find finite-dimensional representations of SO(3). Finally, we compute $$\sqrt C *\sqrt C $$ as an asymptotic series of C. This gives an explanation of the use of the star square root of C in a paper by Bayen et al. instead of its natural square root. Kluwer Academic Publishers, 1992 Letters in Mathematical Physics Kluwer Academic Publishers 25/3(1992-07-01), 213-225 0377-9017 25:3<213 1992 25 11005 https://doi.org/10.1007/BF00406549 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00406549 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Molin Paul Physique Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 25/3(1992-07-01), 213-225 0377-9017 25:3<213 1992 25 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer