Lieb-Thirring inequalities for Jacobi matrices

[摘要] For a Jacobi matrix J on l(2) (Z(+)) with Ju(n) = a(n-1)u(n-1) + b(n)u(n) + a(n)u(n+1), we prove that Sigma(\E\>2)(E-2 - 4)(1/2) less than or equal to Sigma(n)\b(n)\ + 4Sigma(n)\a(n) - 1\. We also prove bounds on higher moments and some related results in higher dimension. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-09-01