| Frank, Rupert L.; Pushnitski, Alexander (2019): Schatten Class Conditions for Functions of Schrodinger Operators. In: Annales Henri Poincare, Vol. 20, No. 11: pp. 3543-3562 |
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Abstract
We consider the difference f(H1)- f(H0), where H0 = -. and H1 = -.+ V are the free and the perturbed Schr<spacing diaeresis>odinger operators in L2(Rd), 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 Sp, 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 we allow for some unbounded functions f.
| Item Type: | Journal article |
|---|---|
| Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
| Subjects: | 500 Science > 510 Mathematics |
| ISSN: | 1424-0637 |
| Language: | English |
| ID Code: | 82353 |
| Deposited On: | 15. Dec 2021 15:01 |
| Last Modified: | 15. Dec 2021 15:01 |
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