Inequivalent Quantizations and Fundamentally Perfect Spaces

Imbo, Tom D.; Sudarshan, E.C.G.

doi:10.1103/PhysRevLett.60.481

Inequivalent Quantizations and Fundamentally Perfect Spaces

Tom D. Imbo
(
- Texas U.
)
,
E.C.G. Sudarshan
(
- Texas U.
)

Jun, 1987

10 pages

Published in:

Phys.Rev.Lett. 60 (1988) 481

DOI:

10.1103/PhysRevLett.60.481

Report number:

DOE-ER-40200-102

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Abstract: (APS)

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.

References(8)

Figures(0)

Feynman functional integrals for systems of indistinguishable particles

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(
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REMARKS ON NONSTANDARD STATISTICS

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)

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(
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)

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•
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(
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)

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(
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)

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(
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)

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•
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Inequivalent Quantizations and Fundamentally Perfect Spaces

Citations per year

Feynman functional integrals for systems of indistinguishable particles

Quantum mechanics and field theory on multiply connected and on homogeneous spaces

REMARKS ON NONSTANDARD STATISTICS

HOMOLOGY AND WESS-ZUMINO TERMS

Symmetry Groups of State Vectors in Canonical Quantum Gravity

SU(NNN) Bundles Over the Configuration Space of Three Identical Particles Moving in R3R^3R3.

Solitons in 3He-B

SU( $N$ ) Bundles Over the Configuration Space of Three Identical Particles Moving in $R^3$ .