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
DOI 10.4171/175-1/1pp. 31–53 Inequivalence of quantum Dirac fields of different masses and the underlying general structures involvedAsao Arai
DOI 10.4171/175-1/2pp. 55–70 On a class of Schrödinger operators exhibiting spectral transitionDiana BarseghyanOlga Rossi
DOI 10.4171/175-1/3pp. 71–93 On the quantum mechanical three-body problem with zero-range interactionsGiulia BastiAlessandro Teta
DOI 10.4171/175-1/4pp. 95–127 On the index of meromorphic operator-valued functions and some applicationsJussi BehrndtFritz GesztesyHelge HoldenRoger Nichols
DOI 10.4171/175-1/5pp. 129–152 Trace formulae for Schrödinger operators with singular interactionsJussi BehrndtMatthias LangerVladimir Lotoreichik
DOI 10.4171/175-1/6pp. 153–160 An improved bound for the non-existence of radial solutions of the Brezis–Nirenberg problem inRafael D. BenguriaSoledad Benguria
DOI 10.4171/175-1/7pp. 161–175 Twisted waveguide with a Neumann windowPhilippe BrietHiba Hammedi
DOI 10.4171/175-1/8pp. 177–187 Example of a periodic Neumann waveguide with a gap in its spectrumGiuseppe CardoneAndrii Khrabustovskyi
DOI 10.4171/175-1/9pp. 189–211 Two-dimensional time-dependent point interactionsRaffaele CarloneMichele CorreggiRodolfo Figari
DOI 10.4171/175-1/10pp. 213–222 On resonant spectral gaps in quantum graphsNgoc T. DoPeter KuchmentBeng Ong
DOI 10.4171/175-1/11pp. 223–243 Adiabatic theorem for a class of stochastic differential equations on a Hilbert spaceMartin Fraas
DOI 10.4171/175-1/12pp. 245–259 Eigenvalues of Schrödinger operators with complex surface potentialsRupert L. Frank
DOI 10.4171/175-1/13pp. 261–269 A lower bound to the spectral threshold in curved quantum layersPedro FreitasDavid Krejčiřík
DOI 10.4171/175-1/14pp. 271–313 To the spectral theory of vector-valued Sturm–Liouville operators with summable potentials and point interactionsYaroslav GranovskyiMark M. MalamudHagen NeidhardtAndrea Posilicano
DOI 10.4171/175-1/15pp. 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
DOI 10.4171/175-1/16pp. 353–371 Dirichlet eigenfunctions in the cube, sharpening the Courant nodal inequalityBernard HelfferRola Kiwan
DOI 10.4171/175-1/17pp. 373–399 A mathematical modeling of electron–phonon interaction for small wave numbers close to zeroMasao Hirokawa
DOI 10.4171/175-1/18pp. 401–417 The modified unitary Trotter–Kato and Zeno product formulas revisitedTakashi Ichinose
DOI 10.4171/175-1/19pp. 419–432 Spectral asymptotics induced by approaching and diverging planar circlesSylwia Kondej
DOI 10.4171/175-1/20pp. 433–446 Spectral estimates for the Heisenberg Laplacian on cylindersHynek KovaříkBartosch RuszkowskiTimo Weidl
DOI 10.4171/175-1/21pp. 447–458 Variational proof of the existence of eigenvalues for star graphsKonstantin Pankrashkin
DOI 10.4171/175-1/22pp. 459–489 On the boundedness and compactness of weighted Green operators of second-order elliptic operatorsYehuda Pinchover
DOI 10.4171/175-1/23pp. 491–524 Abstract graph-like spaces and vector-valued metric graphsOlaf Post
DOI 10.4171/175-1/24pp. 525–529 A Cayley–Hamiltonian theorem for periodic finite band matricesBarry Simon
DOI 10.4171/175-1/25pp. 531–542 Path topology dependence of adiabatic time evolutionTaksu CheonAtushi Tanaka
DOI 10.4171/175-1/26pp. 543–563 On quantum graph filters with flat passbandsOndřej Turek
DOI 10.4171/175-1/27pp. 565–573 Comments on the Chernoff -lemmaValentin A. Zagrebnov
DOI 10.4171/175-1/28