.

0 (hodnocen0 x )

BK

Zürich : European Mathematical Society, [2017]

xiii, 581 stran : ilustrace ; 25 cm

ISBN 978-3-03719-175-0 (vázáno)

EMS series of congress reports‏

Obsahuje bibliografické odkazy

001458975

Contents // Preface v // Jaroslav Dittrich, Hynek Kovarík, and Ari Laptev // Relative partition function of Coulomb plus delta interaction 1 // Sergio Albeverio, Claudio Cacciapuoti, and Mauro Spreafico // Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved 31 // Asao Arai // On a class of Schrödinger operators exhibiting spectral transition 55 // Diana Barseghyan and Olga Rossi // On the quantum mechanical three-body problem with zero-range interactions y j // Giulia Basti and Alessandro Teta // On the index of meromorphic operator-valued functions and some applications 95 // Jussi Behrndt, Fritz Gesztesy, Helge Holden, and Roger Nichols // Trace formulae for Schrödinger operators with singular interactions 129 // Jussi Behrndt, Matthias Langer, and Vladimir Lotoreichik // An improved bound for the non-existence of radial solutions of the Brezis-Nirenberg problem in H" 153 // Rafael D. Benguria and Soledad Benguria // Twisted waveguide with a Neumann window 161 // Philippe Briet and Hiba Hamme di // Example of a periodic Neumann waveguide with a gap in its spectrum 177 // Giuseppe Cardane and Andrii Khrabustovskyi // •r // Two-dimensional time-dependent point interactions 189 // Raffaele Cariane, Michele Correggi, and Rodolfo Figari // Contents // On resonant spectral gaps in quantum graphs // Ngoc T Do, Peter Kuchment, and Beng Ong // Adiabatic theorem for a class of stochastic differential equations on a Hilbert space

// Martin Fraas // Eigenvalues of Schrödinger operators with complex surface potentials // Rupert L Frank // A lower bound to the spectral threshold in curved quantum layers // Pedro Freitas and David Krejcirík // To the spectral theory of vector-valued Sturm-Liouville operators with summable potentials and point interactions // Yaroslav Granovskyi, Mark Malamud, Hagen Neidhardt, and Andrea Posilicano // Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman-Schwinger analysis of the Dirichlet-to-Neumann operator // André Hänel and Timo Weidl // Dirichlet eigenfunctions in the cube, sharpening the Courant nodal inequality // Bernard Helffer and Rola Kiwan // A mathematical modeling of electron-phonon interaction for small wave numbers close to zero // Masao Hirokawa // The modified unitary Trotter-Kato and Zeno product formulas revisited // Takas hi Ichino se // Spectral asymptotics induced by approaching and diverging planar circles // Sylwia Kondej // Spectral estimates for the Heisenberg Laplacian on cylinders // Hynek Kovarík, Bartosch Ruszkowski, and Timo Weidl // Contents // XIII // Variational proof of the existence of eigenvalues for star graphs 447 // Konstantin Pankrashkin // On the boundedness and compactness of weighted Green operators of second-order elliptic operators 459 // Yehuda Pinchover // Abstract graph-like spaces and vector-valued metric graphs 491 // Olaf Post // A Cayley-Hamiltonian theorem for periodic finite band matrices

525 // Barry Simon // Path topology dependence of adiabatic time evolution 531 // Atushi Tanaka and Taksu Che on // On quantum graph filters with flat passbands 543 // Ondrej Turek // Comments on the Chernoff Vn-lemma 565 // Valentin A. Zagrebnov // List of contributors 575