On the essential spectrum of the Jansen-Hess operator for two-electron ions.
Jakubassa-Amundsen, D.H. (2008)
Mathematical Physics Electronic Journal [electronic only]
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Displaying similar documents to “A Two-Particle Quantum System with Zero-Range Interaction”
On the essential spectrum of the Jansen-Hess operator for two-electron ions.
Weyl asymptotics for non-self-adjoint operators with small multiplicative random perturbations
Johannes Sjöstrand (2007-2008)
Séminaire Équations aux dérivées partielles
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We study the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint (pseudo)differential operators with small random multiplicative perturbations in arbitrary dimension. We were led to quite essential improvements of many of the probabilistic aspects.
Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations
Johannes Sjöstrand (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this work we continue the study of the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint (pseudo)differential operators with small random perturbations, by treating the case of multiplicative perturbations in arbitrary dimension. We were led to quite essential improvements of many of the probabilistic aspects.
A model of atomic radiation
E. B. Davies (1978)
Annales de l'I.H.P. Physique théorique
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Spectral invariants for coupled spin-oscillators
San Vũ Ngọc (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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This text deals with in a semiclassical setting. Given a quantum system, the haunting question is “What interesting quantities can be discovered on the spectrum that can help to characterize the system ?” The general framework will be semiclassical analysis, and the issue is to recover the classical dynamics from the quantum spectrum. The coupling of a spin and an oscillator is a fundamental example in physics where some nontrivial explicit calculations can be done.