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arXiv · 2104.14489

A generalized MIT Bag operator on spin manifolds in the non-relativistic limit

Brice Flamencourt
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Abstract

We consider Dirac-like operators with piecewise constant mass terms on spin manifolds, and we study the behaviour of their spectra when the mass parameters become large. In several asymptotic regimes, effective operators appear: the extrinsic Dirac operator and a generalized MIT Bag Dirac operator. This extends some results previously known for the Euclidean spaces to the case of general spin geometry.

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Brice Flamencourt. 2021-04-29. A generalized MIT Bag operator on spin manifolds in the non-relativistic limit. https://doi.org/10.1016/j.geomphys.2022.104534

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