Approximation of one-dimensional relativistic point interactions by regular potentials revised
LETTERS IN MATHEMATICAL PHYSICS(2020)
摘要
We show that the one-dimensional Dirac operator with quite general point interaction may be approximated in the norm resolvent sense by the Dirac operator with a scaled regular potential of the form 1/ε h(x/ε )⊗ B , where B is a suitable 2× 2 matrix. Moreover, we prove that the limit does not depend on the particular choice of h as long as it integrates to a constant value.
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关键词
Dirac operator,Point interaction,Approximations
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