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Documents  81Q12 | enregistrements trouvés : 3

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Research talks;Partial Differential Equations;Mathematical Physics

We consider the operator $\mathcal{A}_h = -h^2 \Delta + iV$ in the semi-classical limit $h \to 0$, where $V$ is a smooth real potential with no critical points. We obtain both the left margin of the spectrum, as well as resolvent estimates on the left side of this margin. We extend here previous results obtained for the Dirichlet realization of $\mathcal{A}_h$ by removing significant limitations that were formerly imposed on $V$. In addition, we apply our techniques to the more general Robin boundary condition and to a transmission problem which is of significant interest in physical applications. We consider the operator $\mathcal{A}_h = -h^2 \Delta + iV$ in the semi-classical limit $h \to 0$, where $V$ is a smooth real potential with no critical points. We obtain both the left margin of the spectrum, as well as resolvent estimates on the left side of this margin. We extend here previous results obtained for the Dirichlet realization of $\mathcal{A}_h$ by removing significant limitations that were formerly imposed on $V$. In addition, ...

35J10 ; 35P10 ; 35P15 ; 47A10 ; 81Q12 ; 82D55

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- xi; 634 p.
ISBN 978-1-4704-4366-5

Graduate studies in mathematics , 0200

Localisation : Collection 1er étage

résonance # dispersion # oscillation # fréquence des oscillations # physique mathématique # prolongement méromorphe # théorie spectrale # valeurs propres # théorie quantique

58J50 ; 35P25 ; 34L25 ; 35P20 ; 35S05 ; 81U20 ; 81Q12 ; 81Q20

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- xxiv; 407 p.
ISBN 978-1-118-85528-7

Localisation : Ouvrage RdC (NON)

physique quantique # opérateur non-adjoint # mécanique quantique # symétrie CPT # espace de Krein # théorie de la perturbation # physique nucléaire # physique des particules # physique de la matière condensée

81-06 ; 81Q12 ; 47N50 ; 00A79 ; 00B15

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