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Characteristic functions of states in star-product quantization

✍ Scribed by Grigori G. Amosov; Vladimir I. Man’ko

Publisher
Springer US
Year
2009
Tongue
English
Weight
165 KB
Volume
30
Category
Article
ISSN
1573-8760

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Application of the star-product method t
Application of the star-product method to the angular momentum quantization
✍ Paul Molin 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 379 KB

We define a .-product on ~]~3 \_\_ {0} 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 r