Green function for Schrödinger operator
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Zhongxin Zhao
📂
Article
📅
1986
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Elsevier Science
🌐
English
⚖ 704 KB
Consider the Schr6dinger operator H= (A/2)+ q in a bounded C 1,~ domain D with q e K~ °c. (D, q) satisfies the condition: sup[spec((A/2) + q)lD] < 0. Let V and G denote the Green functions in D for H and L1/2, respectively. We prove that where (xr) is the conditioned Brownian motion starting at x a