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Open Quantum Systems Decoherence
Quantum Mechanics on Curved Hypersurfaces
arXiv
Authors: Mehmet Ali Olpak
Year
2010
Paper ID
10910
Status
Preprint
Abstract Read
~2 min
Abstract Words
105
Citations
N/A
Abstract
In this work, Schrödinger and Dirac equations will be examined in geometries that confine the particles to hypersurfaces. For this purpose, two methods will be considered. The first method is the thin layer method which relies on explicit use of geometrical relations and the squeezing of a certain coordinate of space (or spacetime). The second is Dirac's quantization procedure involving the modification of canonical quantization making use of the geometrical constraints. For the Dirac equation, only the first method will be considered. Lastly, the results of the two methods will be compared and some notes on the differences between the results will be included.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2010 reference point for readers tracking recent quantum research.
- In this work, Schrödinger and Dirac equations will be examined in geometries that confine the particles to hypersurfaces.
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