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Path integrals for two‐ and three‐dimensional δ‐function perturbations

 

作者: Christian Grosche,  

 

期刊: Annalen der Physik  (WILEY Available online 1994)
卷期: Volume 506, issue 4  

页码: 283-312

 

ISSN:0003-3804

 

年代: 1994

 

DOI:10.1002/andp.19945060406

 

出版商: WILEY‐VCH Verlag

 

关键词: Path integrals;Quantum mechanics;Point perturbations

 

数据来源: WILEY

 

摘要:

AbstractThe incorporation of two‐ and three‐dimensional Δ‐function perturbations into the path integral formalism is discussed. Contrary to the one‐dimensional case, a regularization prescription is needed due to the divergence of the Green function corresponding to a potentialV,G(v)(x,y;E) (x, y ϵ ℝ2, ℝ3) forx→y. The known procedure to define proper self‐adjoint extensions for Hamiltonians with point‐interactions can be exploited to define the incorporation of δ‐function perturbations in the path integral. Several examples il

 

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