Marcus waurick (87 risultati)

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Paperback. Condizione: New. 1st ed. 2016. These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. In the late 1970's, Constantine Callias found a formula for the Fredholm index of a particular first-order differential operator (intimately connected to a supersymmetric Dirac-type operator) additively perturbed by a potential, shedding additional light on the Fedosov-Hörmander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.…

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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

Condizione: New. 1st ed. 2022 edition NO-PA16APR2015-KAP.

Condizione: New.

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

Condizione: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.

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Paperback. Condizione: New.

Condizione: New. In English.

Paperback or Softback. Condizione: New. Homogenisation of Laminated Metamaterials and the Inner Spectrum. Book.

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Paperback. Condizione: new. Paperback. This book investigates homogenisation problems for divergence form equations with rapidly sign-changing coefficients. Focusing on problems with piecewise constant, scalar coefficients in a (d-dimensional) crosswalk type shape, we will provide a limit procedure in order to understand potentially ill-posed and non-coercive settings.Depending on the integral mean of the coefficient and its inverse, the limits can either satisfy the usual homogenisation formula for stratified media, be entirely degenerate or be a non-local differential operator of 4th order. In order to mark the drastic change of nature, we introduce the inner spectrum for conductivities. We show that even though 0 is contained in the inner spectrum for all strictly positive periods, the limit inner spectrum can be empty. Furthermore, even though the spectrum was confined in a bounded set uniformly for all strictly positive periods and not containing 0, the limit inner spectrum might have 0 as an essential spectral point and accumulate at or even be the whole of C. This is in stark contrast to the classical situation, where it is possible to derive upper and lower bounds in terms of the values assumed by the coefficients in the pre-asymptotics.Along the way, we also develop a theory for SturmLiouville type operators with indefinite weights, reduce the question on solvability of the associated SturmLiouville operator to understanding zeros of a certain explicit polynomial and show that generic real perturbations of piecewise constant coefficients lead to continuously invertible SturmLiouville expressions. Furthermore, even though the spectrum was confined in a bounded set uniformly for all strictly positive periods and not containing 0, the limit inner spectrum might have 0 as an essential spectral point and accumulate at or even be the whole of C. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Condizione: New. pp. 140.

Condizione: New. pp. 140.

paperback. Condizione: New.

Condizione: New. pp. 204 1st ed. 2016 edition NO-PA16APR2015-KAP.

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Condizione: New. In English.

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Softcover. Condizione: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04217 9783319299761 Sprache: Englisch Gewicht in Gramm: 550.

Condizione: New.

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Condizione: As New. Unread book in perfect condition.