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GLOBAL THEORY OF QUANTUM BOUNDARY CONDITIONS AND TOPOLOGY CHANGE
2005
International Journal of Modern Physics A
We analyze the global theory of boundary conditions for a constrained quantum system with classical configuration space a compact Riemannian manifold M with regular boundary Γ=∂ M. The space of self-adjoint extensions of the covariant Laplacian on M is shown to have interesting geometrical and topological properties which are related to the different topological closures of M. In this sense, the change of topology of M is connected with the non-trivial structure of . The space itself can be
doi:10.1142/s0217751x05019798
fatcat:pfypmfdw4jdhllcpzoorkqzw6a