Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian.
Persson, Mikael (2009)
Advances in Mathematical Physics
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Persson, Mikael (2009)
Advances in Mathematical Physics
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Hansson, Anders M. (2005)
International Journal of Mathematics and Mathematical Sciences
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André Noll (1999)
Journées équations aux dérivées partielles
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After introducing the notion of capacity in a general Hilbert space setting we look at the spectral bound of an arbitrary self-adjoint and semi-bounded operator . If is subjected to a domain perturbation the spectrum is shifted to the right. We show that the magnitude of this shift can be estimated in terms of the capacity. We improve the upper bound on the shift which was given in (, 24:759–775, 1999) and obtain a lower bound which leads to a generalization of Thirring’s inequality...
Jean Dolbeault, Maria Esteban, Eric Séré (2006)
Journal of the European Mathematical Society
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This paper is concerned with an extension and reinterpretation of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. We state two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.
Victor Ivrii (1991)
Journées équations aux dérivées partielles
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Evans M. Harrell, M. Klaus (1983)
Annales de l'I.H.P. Physique théorique
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O. A. Olejnik (1989)
Journées équations aux dérivées partielles
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Arne Jensen, Shu Nakamura (1997)
Annales de l'I.H.P. Physique théorique
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Al-Nayef, Anwar A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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