Functional Analysis and Operator Theory for Quantum Physics

Jaroslav Dittrich; Hynek Kovařík; Ari Laptev

doi:10.4171/175

BooksecrCollected Volume

Functional Analysis and Operator Theory for Quantum Physics

The Pavel Exner Anniversary Volume

Editors

Jaroslav Dittrich
Czech Academy of Sciences, Rez-Prague, Czech Republic
Hynek Kovařík
Università degli Studi di Brescia, Italy
Ari Laptev
Imperial College London, UK

Functional Analysis and Operator Theory for Quantum Physics cover

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pp. 1–29
Relative partition function of Coulomb plus delta interaction
Sergio AlbeverioClaudio CacciapuotiMauro Spreafico
pp. 31–53
Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved
Asao Arai
pp. 55–70
On a class of Schrödinger operators exhibiting spectral transition
Diana BarseghyanOlga Rossi
pp. 71–93
On the quantum mechanical three-body problem with zero-range interactions
Giulia BastiAlessandro Teta
pp. 95–127
On the index of meromorphic operator-valued functions and some applications
Jussi BehrndtFritz GesztesyHelge HoldenRoger Nichols
pp. 129–152
Trace formulae for Schrödinger operators with singular interactions
Jussi BehrndtMatthias LangerVladimir Lotoreichik
pp. 153–160
An improved bound for the non-existence of radial solutions of the Brezis–Nirenberg problem in $H^{n}$
Rafael D. BenguriaSoledad Benguria
pp. 161–175
Twisted waveguide with a Neumann window
Philippe BrietHiba Hammedi
pp. 177–187
Example of a periodic Neumann waveguide with a gap in its spectrum
Giuseppe CardoneAndrii Khrabustovskyi
pp. 189–211
Two-dimensional time-dependent point interactions
Raffaele CarloneMichele CorreggiRodolfo Figari
pp. 213–222
On resonant spectral gaps in quantum graphs
Ngoc T. DoPeter KuchmentBeng Ong
pp. 223–243
Adiabatic theorem for a class of stochastic differential equations on a Hilbert space
Martin Fraas
pp. 245–259
Eigenvalues of Schrödinger operators with complex surface potentials
Rupert L. Frank
pp. 261–269
A lower bound to the spectral threshold in curved quantum layers
Pedro FreitasDavid Krejčiřík
pp. 271–313
To the spectral theory of vector-valued Sturm–Liouville operators with summable potentials and point interactions
Yaroslav 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 operator
André HänelTimo Weidl
pp. 353–371
Dirichlet eigenfunctions in the cube, sharpening the Courant nodal inequality
Bernard HelfferRola Kiwan
pp. 373–399
A mathematical modeling of electron–phonon interaction for small wave numbers close to zero
Masao Hirokawa
pp. 401–417
The modified unitary Trotter–Kato and Zeno product formulas revisited
Takashi Ichinose
pp. 419–432
Spectral asymptotics induced by approaching and diverging planar circles
Sylwia Kondej
pp. 433–446
Spectral estimates for the Heisenberg Laplacian on cylinders
Hynek KovaříkBartosch RuszkowskiTimo Weidl
pp. 447–458
Variational proof of the existence of eigenvalues for star graphs
Konstantin Pankrashkin
pp. 459–489
On the boundedness and compactness of weighted Green operators of second-order elliptic operators
Yehuda Pinchover
pp. 491–524
Abstract graph-like spaces and vector-valued metric graphs
Olaf Post
pp. 525–529
A Cayley–Hamiltonian theorem for periodic finite band matrices
Barry Simon
pp. 531–542
Path topology dependence of adiabatic time evolution
Taksu CheonAtushi Tanaka
pp. 543–563
On quantum graph filters with flat passbands
Ondřej Turek
pp. 565–573
Comments on the Chernoff $n$ -lemma
Valentin A. Zagrebnov