Limiting absorption principle for the second quantization of self-adjoint operators

作者：Shimizu Shoji^*

来源：Hokkaido Mathematical Journal, 2010, 39(2): 239-259.

• limiting absorption principle
• resolvent estimates

In this paper we discuss the limiting absorption principle (l.a.p.) of the second quantization of semi-bounded self-adjoint operators. We show that the l.a.p. for a self-adjoint operator on a basic Hilbert space H is "inherited" to the one for its second quantization on a Fock space F(H). In order to show such a result, we examine the resolvent of n-body problem and take the limit of the infinite direct sum of those operators in a suitable subspace of F(H).

• 出版日期2010-5