The 2D Schrödinger equation for a neutral pair in a constant magnetic field
Arne Jensen, Shu Nakamura (1997)
Annales de l'I.H.P. Physique théorique
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Arne Jensen, Shu Nakamura (1997)
Annales de l'I.H.P. Physique théorique
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Pushnitski, Alexander, Rozenblum, Grigori (2007)
Documenta Mathematica
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Victor Ivrii (1991)
Journées équations aux dérivées partielles
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Zhongwei Shen (1996)
Journées équations aux dérivées partielles
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Astaburuaga, María Angélica, Briet, Philippe, Bruneau, Vincent, Fernández, Claudio, Raikov, Georgi (2008)
Serdica Mathematical Journal
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We consider the Hamiltonian H of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator H has infinitely many eigenvalues of infinite multiplicity embedded in its continuous spectrum. We perturb H by appropriate scalar potentials V and investigate the transformation of these embedded eigenvalues into resonances. First, we assume that the electric potentials are dilation-analytic with respect to the variable...
Ladislav Trlifaj (1977)
Aplikace matematiky
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Akira Iwatsuka, Hideo Tamura (1998)
Annales de l'institut Fourier
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This article studies the asymptotic behavior of the number of the negative eigenvalues as of the two dimensional Pauli operators with electric potential decaying at and with nonconstant magnetic field , which is assumed to be bounded or to decay at . In particular, it is shown that , when decays faster than under some additional conditions.