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Geometric quantization on homogeneous spaces and the meaning of “inequivalent” quantizations

✍ Scribed by M.A. Robson


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
328 KB
Volume
335
Category
Article
ISSN
0370-2693

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Canonical Quantization on a Doubly Conne
✍ Masao Hirokawa 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 313 KB

We consider the canonical quantization (Schro dinger representation) on a doubly connected space 0 R #R 2 "[(x , y) | x 2 + y 2 R 2 ] (R>0). We show that, when we employ 2-dimensional orthogonal coordinates Ox 1 x 2 , there are uncountably many different self-adjoint extensions p U j of p j # &i  x