Functional Analysis and Operator Theory for Quantum Physics
The Pavel Exner Anniversary Volume
Editors
Jaroslav Dittrich
Czech Academy of Sciences, Rez-Prague, Czech RepublicHynek Kovařík
Università degli Studi di Brescia, ItalyAri Laptev
Imperial College London, UK
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pp. v–vii PrefaceJaroslav DittrichHynek KovaříkAri Laptev
pp. xi–xiii Contentspp. 1–29 Relative partition function of Coulomb plus delta interactionSergio AlbeverioClaudio CacciapuotiMauro Spreafico
pp. 31–53 Inequivalence of quantum Dirac fields of different masses and the underlying general structures involvedAsao Arai
pp. 55–70 On a class of Schrödinger operators exhibiting spectral transitionDiana BarseghyanOlga Rossi
pp. 71–93 On the quantum mechanical three-body problem with zero-range interactionsGiulia BastiAlessandro Teta
pp. 95–127 On the index of meromorphic operator-valued functions and some applicationsJussi BehrndtFritz GesztesyHelge HoldenRoger Nichols
pp. 129–152 Trace formulae for Schrödinger operators with singular interactionsJussi BehrndtMatthias LangerVladimir Lotoreichik
pp. 153–160 An improved bound for the non-existence of radial solutions of the Brezis–Nirenberg problem inRafael D. BenguriaSoledad Benguria
pp. 161–175 Twisted waveguide with a Neumann windowPhilippe BrietHiba Hammedi
pp. 177–187 Example of a periodic Neumann waveguide with a gap in its spectrumGiuseppe CardoneAndrii Khrabustovskyi
pp. 189–211 Two-dimensional time-dependent point interactionsRaffaele CarloneMichele CorreggiRodolfo Figari
pp. 213–222 On resonant spectral gaps in quantum graphsNgoc T. DoPeter KuchmentBeng Ong
pp. 223–243 Adiabatic theorem for a class of stochastic differential equations on a Hilbert spaceMartin Fraas
pp. 245–259 Eigenvalues of Schrödinger operators with complex surface potentialsRupert L. Frank
pp. 261–269 A lower bound to the spectral threshold in curved quantum layersPedro FreitasDavid Krejčiřík
pp. 271–313 To the spectral theory of vector-valued Sturm–Liouville operators with summable potentials and point interactionsYaroslav GranovskyiMark M. MalamudHagen NeidhardtAndrea Posilicano
pp. 315–352 Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman–Schwinger analysis of the Dirichlet-to-Neumann operatorAndré HänelTimo Weidl
pp. 353–371 Dirichlet eigenfunctions in the cube, sharpening the Courant nodal inequalityBernard HelfferRola Kiwan
pp. 373–399 A mathematical modeling of electron–phonon interaction for small wave numbers close to zeroMasao Hirokawa
pp. 401–417 The modified unitary Trotter–Kato and Zeno product formulas revisitedTakashi Ichinose
pp. 419–432 Spectral asymptotics induced by approaching and diverging planar circlesSylwia Kondej
pp. 433–446 Spectral estimates for the Heisenberg Laplacian on cylindersHynek KovaříkBartosch RuszkowskiTimo Weidl
pp. 447–458 Variational proof of the existence of eigenvalues for star graphsKonstantin Pankrashkin
pp. 459–489 On the boundedness and compactness of weighted Green operators of second-order elliptic operatorsYehuda Pinchover
pp. 491–524 Abstract graph-like spaces and vector-valued metric graphsOlaf Post
pp. 525–529 A Cayley–Hamiltonian theorem for periodic finite band matricesBarry Simon
pp. 531–542 Path topology dependence of adiabatic time evolutionTaksu CheonAtushi Tanaka
pp. 543–563 On quantum graph filters with flat passbandsOndřej Turek
pp. 565–573 Comments on the Chernoff -lemmaValentin A. Zagrebnov