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Fractional powers of the algebraic sum of normal operators |
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| Authors: | Toka Diagana |
| Affiliation: | Department of Mathematics, Howard University, 2441 6th Street N.W., Washington D.C. 20059 |
| Abstract: | The main concern in this paper is to give sufficient conditions such that if  are unbounded normal operators on a (complex) Hilbert space  , then for each  , the domain  equals  . It is then verified that such a result can be applied to characterize the domains of fractional powers of a large class of the Hamiltonians with singular potentials arising in quantum mechanics through the study of the Schrödinger equation. |
| Keywords: | Normal operator self-adjoint operator nonnegative operator fractional powers of operators algebraic sum form sum Hamiltonian singular potentials |
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