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• W2138354143 abstract "We consider the difference $${f(-Delta +V)-f(-Delta)}$$ of functions of Schrödinger operators in $${L^2(mathbb{R}^d)}$$ and provide conditions under which this difference is trace class. We are particularly interested in non-smooth functions f and in V belonging only to some L p space. This is motivated by applications in mathematical physics related to Lieb–Thirring inequalities. We show that in the particular case of Schrödinger operators the well-known sufficient conditions on f, based on a general operator theoretic result due to V. Peller, can be considerably relaxed. We prove similar theorems for $${f(-Delta +V)-f(-Delta)-frac{d}{dalpha} f(-Delta +alpha V)|_{alpha=0}}$$ . Our key idea is the use of the limiting absorption principle." @default.
• W2138354143 created "2016-06-24" @default.
• W2138354143 creator A5016122295 @default.
• W2138354143 creator A5045078535 @default.
• W2138354143 date "2014-11-06" @default.
• W2138354143 modified "2023-09-23" @default.
• W2138354143 title "Trace Class Conditions for Functions of Schrödinger Operators" @default.
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• W2138354143 doi "https://doi.org/10.1007/s00220-014-2205-8" @default.
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