منابع مشابه
Self-Isospectral Periodic Potentials and Supersymmetric Quantum Mechanics
We discuss supersymmetric quantum mechanical models with periodic potentials. The important new feature is that it is possible for both isospectral potentials to support zero modes, in contrast to the standard nonperiodic case where either one or neither (but not both) of the isospectral pair has a zero mode. Thus it is possible to have supersymmetry unbroken and yet also have a vanishing Witte...
متن کاملComment on “Self-Isospectral Periodic Potentials and Supersymmetric Quantum Mechanics”
We show that the formalism of supersymmetric quantum mechanics applied to the solvable elliptic function potentials V (x) = mj(j + 1)sn(x,m) produces new exactly solvable onedimensional periodic potentials. In a recent paper, Dunne and Feinberg [1] have systematically discussed various aspects of supersymmetric quantum mechanics (SUSYQM) as applied to periodic potentials. In particular, they de...
متن کاملSelf - Isospectral Periodic Potentials and Supersymmetric Quantum Mechanics Gerald
We discuss supersymmetric quantum mechanical models with periodic potentials. The important new feature is that it is possible for both isospectral potentials to support zero modes, in contrast to the standard nonperiodic case where either one or neither (but not both) of the isospectral pair has a zero mode. Thus it is possible to have supersymmetry unbroken and yet also have a vanishing Witte...
متن کاملIsospectral Graphs and Isospectral Surfaces
In memory of Hubert Pesce In this paper, we investigate the following question: to what extent is there a converse to the Theorem of Sunada Su] in the context of graphs? Our experience in dealing with the question, \Can one hear the shape of a drum?" is that the many facets of this question turn out to be surprisingly delicate. The present instance is no exception. We will rst present a partial...
متن کاملThe 2-transitive Transplantable Isospectral Drums
For Riemannian manifolds there are several examples which are isospectral but not isometric, see e.g. J. Milnor [12]; in the present paper, we investigate pairs of domains in R2 which are isospectral but not congruent. All known such counter examples to M. Kac’s famous question can be constructed by a certain tiling method (“transplantability”) using special linear operator groups which act 2-t...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2015
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2014.06.001