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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