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Models of Topology Change

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 نشر من قبل Alfred D. Shapere
 تاريخ النشر 2012
  مجال البحث فيزياء
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We show how changes in unitarity-preserving boundary conditions allow continuous interpolation among the Hilbert spaces of quantum mechanics on topologically distinct manifolds. We present several examples, including a computation of entanglement entropy production. We discuss approximate realization of boundary conditions through appropriate interactions, thus suggesting a route to possible experimental realization. We give a theoretical application to quantization of singular Hamiltonians, and give tangible form to the many worlds interpretation of wave functions.

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