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- W2973125346 abstract "We consider the difference $$f(H_1)-f(H_0)$$ f ( H 1 ) - f ( H 0 ) , where $$H_0=-Delta $$ H 0 = - Δ and $$H_1=-Delta +V$$ H 1 = - Δ + V are the free and the perturbed Schrödinger operators in $$L^2({{mathbb {R}}}^d)$$ L 2 ( R d ) , respectively, in which V is a real-valued short range potential. We give a sufficient condition for this difference to belong to a given Schatten class $${mathbf {S}}_p$$ S p , depending on the rate of decay of the potential and on the smoothness of f (stated in terms of the membership in a Besov class). In particular, for $$p>1$$ p > 1 we allow for some unbounded functions f." @default.
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- W2973125346 date "2019-09-09" @default.
- W2973125346 modified "2023-10-08" @default.
- W2973125346 title "Schatten Class Conditions for Functions of Schrödinger Operators" @default.
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- W2973125346 doi "https://doi.org/10.1007/s00023-019-00838-8" @default.
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