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On the Limiting absorption principle for a new class of Schrödinger Hamiltonians
Alexandre Martin1
1 Département de Mathématiques, Université de Cergy-Pontoise, 95000 Cergy-Pontoise, France
Confluentes Mathematici, Volume 10 (2018) no. 1, pp. 63-94.

We prove the limiting absorption principle and discuss the continuity properties of the boundary values of the resolvent for a class of form bounded perturbations of the Euclidean Laplacian Δ that covers both short and long range potentials with an essentially optimal behaviour at infinity. For this, we give an extension of Nakamura’s results (see [16]).

Received:
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Accepted:
Published online:
DOI: 10.5802/cml.46
Classification: 35J10, 35P25, 35Q40, 35S05, 47B15, 47B25, 47F05
Keywords: Schrödinger operators, Mourre theory, Limiting Absorption Principle

Alexandre Martin 1

1 Département de Mathématiques, Université de Cergy-Pontoise, 95000 Cergy-Pontoise, France
License: CC-BY-NC-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Alexandre Martin. On the Limiting absorption principle for a new class of Schrödinger Hamiltonians. Confluentes Mathematici, Volume 10 (2018) no. 1, pp. 63-94. doi : 10.5802/cml.46. https://cml.centre-mersenne.org/articles/10.5802/cml.46/

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