Scattering theory for Stark Hamiltonians

Jensen, Arne

doi:10.1007/bf02830798

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Cited by 9 publications

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Propagation Theorems for Some Classes of Pseudo-Differential Operators

Sahbani

1997

Journal of Mathematical Analysis and Applications

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We study continuity properties of the boundary values of the resolvent of perturbations of certain pseudo-differential operators by using recent versions of the conjugate operator method. Our results are optimal on the Holder᎐Zygmund scale. In particular, three physical situations are included, namely relativistic and non-relativistic Schrodinger operators and the Stark effect hamiltonian. We allow ä large class of perturbations by giving an ''optimal'' compromise between regularity and decay at infinity. ᮊ 1997 Academic Press

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Propagation Theorems for Some Classes of Pseudo-Differential Operators

Sahbani

1997

Journal of Mathematical Analysis and Applications

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Spectral Properties at a Threshold for Two-Channel Hamiltonians

Melgaard¹

2001

Journal of Mathematical Analysis and Applications

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Spectral properties and scattering theory in the low-energy limit are investigated for two-channel Hamiltonians with Schrodinger operators as component Hamiltonians. In various, mostly fairly ''singular'' settings asymptotic expansions of the resolvent are deduced as the spectral parameter tends to the threshold zero. Furthermore scattering theory for pairs of two-channel Hamiltonians is established. As an application of the expansions of the resolvent, asymptotic expansions of the scattering matrix are derived as the energy parameter tends to the threshold zero. ᮊ

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Resolvent estimates for some classes of pseudo-differential operators

Sahbani

1997

Comptes Rendus de l'Académie des Sciences - Series I - Mathemat

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Scattering theory for Stark Hamiltonians

Cited by 9 publications

References 24 publications

Propagation Theorems for Some Classes of Pseudo-Differential Operators

Propagation Theorems for Some Classes of Pseudo-Differential Operators

Spectral Properties at a Threshold for Two-Channel Hamiltonians

Resolvent estimates for some classes of pseudo-differential operators

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