Imbo, Tom D. ; Sudarshan, E. C. G. (1988) Inequivalent quantizations and fundamentally perfect spaces Physical Review Letters, 60 (6). pp. 481-483. ISSN 0031-9007
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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.60.481
Related URL: http://dx.doi.org/10.1103/PhysRevLett.60.481
Abstract
We investigate the problem of inequivalent quantizations of a physical system with multiply connected configuration space X. For scalar quantum theory on X we show that state vectors must be single valued if and only if the first homology group H1(X) is trivial, or equivalently the fundamental group π1(X) is perfect. The θ structure of quantum gauge and gravitational theories is discussed in light of this result.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 51067 |
| Deposited On: | 27 Jul 2011 12:53 |
| Last Modified: | 18 May 2016 05:09 |
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