Abstract
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.
Original language | Undefined/Unknown |
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State | Published - Oct 12 2012 |
Bibliographical note
7 pages, 3 figuresKeywords
- hep-th
- gr-qc
- quant-ph