非相对论极限下自旋流形上的广义MIT Bag算子
A generalized MIT Bag operator on spin manifolds in the non-relativistic limit
摘要:
我们考虑了自旋流形上具有分段常质量项的类狄拉克算子,并研究了当质量参数变大时它们的谱的行为。在几个渐近制度,有效的运营商出现:外部狄拉克运营商和广义的MIT袋狄拉克运营商。这将以前已知的欧几里得空间的一些结果推广到一般自旋几何的情形。
英文摘要:
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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