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The commutator method for form-relatively compact perturbations |
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| Authors: | Anne Boutet de Monvel-Berthier Dragos Manda Radu Purice |
| Institution: | (1) Equipe de Physique Mathématique et Géométrie, CNRS-Université Paris VII, UFR de Mathématiques, 45-55, Sème étage, 2 Place Jussieu, F-75251 Paris-Cedex 05, France;(2) Institute of Mathematics, Romanian Academy of Science, Bucharest, Romania |
| Abstract: | We present a variant of the conjugate operator method which can be used when the group generated by the conjugate operator leaves invariant only the form domain of the Hamiltonian. As an example, we get detailed spectral properties and a large class of locally smooth operators for two-body Schrödinger Hamiltonians with form-relatively compact potentials. |
| Keywords: | 85-XX 35-XX 47-XX |
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