Functional Analysis and Operator Theory for Quantum Physics

Book details

Relative partition function of Coulomb plus delta interaction
Sergio Albeverio, Claudio Cacciapuoti and Mauro Spreafico
pp. 1–29
Abstract | Full-Text PDF (264 KB)

Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved
Asao Arai
pp. 31–53
Abstract | Full-Text PDF (243 KB)

On a class of Schrödinger operators exhibiting spectral transition
Diana Barseghyan and Olga Rossi
pp. 55–70
Abstract | Full-Text PDF (184 KB)

On the quantum mechanical three-body problem with zero-range interactions
Alessandro Teta and Giulia Basti
pp. 71–93
Abstract | Full-Text PDF (246 KB)

On the index of meromorphic operator-valued functions and some applications
Jussi Behrndt, Fritz Gesztesy, Helge Holden and Roger Nichols
pp. 95–127
Abstract | Full-Text PDF (287 KB)

Trace formulae for Schrödinger operators with singular interactions
Jussi Behrndt, Matthias Langer and Vladimir Lotoreichik
pp. 129–152
Abstract | Full-Text PDF (258 KB)

An improved bound for the non-existence of radial solutions of the Brezis–Nirenberg problem in $\mathbb H^n$
Rafael D. Benguria and Soledad Benguria
pp. 153–160
Abstract | Full-Text PDF (153 KB)

Twisted waveguide with a Neumann window
Philippe Briet and Hiba Hammedi
pp. 161–175
Abstract | Full-Text PDF (193 KB)

Example of a periodic Neumann waveguide with a gap in its spectrum
Giuseppe Cardone and Andrii Khrabustovskyi
pp. 177–187
Abstract | Full-Text PDF (188 KB)

Two-dimensional time-dependent point interactions
Raffaele Carlone, Michele Correggi and Rodolfo Figari
pp. 189–211
Abstract | Full-Text PDF (242 KB)

On resonant spectral gaps in quantum graphs
Ngoc T. Do, Peter Kuchment and Beng Ong
pp. 213–222
Abstract | Full-Text PDF (194 KB)

Adiabatic theorem for a class of stochastic differential equations on a Hilbert space
Martin Fraas
pp. 223–243
Abstract | Full-Text PDF (225 KB)

Eigenvalues of Schrödinger operators with complex surface potentials
Rupert L. Frank
pp. 245–259
Abstract | Full-Text PDF (201 KB)

A lower bound to the spectral threshold in curved quantum layers
Pedro Freitas and David Krejčiřík
pp. 261–269
Abstract | Full-Text PDF (166 KB)

To the spectral theory of vector-valued Sturm–Liouville operators with summable potentials and point interactions
Yaroslav Granovskyi, Mark M. Malamud, Hagen Neidhardt and Andrea Posilicano
pp. 271–313
Abstract | Full-Text PDF (376 KB)

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
pp. 315–352
Abstract | Full-Text PDF (331 KB)

Dirichlet eigenfunctions in the cube, sharpening the Courant nodal inequality
Bernard Helffer and Rola Kiwan
pp. 353–371
Abstract | Full-Text PDF (678 KB)

A mathematical modeling of electron–phonon interaction for small wave numbers close to zero
Masao Hirokawa
pp. 373–399
Abstract | Full-Text PDF (273 KB)

The modified unitary Trotter–Kato and Zeno product formulas revisited
Takashi Ichinose
pp. 401–417
Abstract | Full-Text PDF (191 KB)

Spectral asymptotics induced by approaching and diverging planar circles
Sylwia Kondej
pp. 419–432
Abstract | Full-Text PDF (195 KB)

Spectral estimates for the Heisenberg Laplacian on cylinders
Hynek Kovařík, Bartosch Ruszkowski and Timo Weidl
pp. 433–446
Abstract | Full-Text PDF (184 KB)

Variational proof of the existence of eigenvalues for star graphs
Konstantin Pankrashkin
pp. 447–458
Abstract | Full-Text PDF (173 KB)

On the boundedness and compactness of weighted Green operators of second-order elliptic operators
Yehuda Pinchover
pp. 459–489
Abstract | Full-Text PDF (297 KB)

Abstract graph-like spaces and vector-valued metric graphs
Olaf Post
pp. 491–524
Abstract | Full-Text PDF (324 KB)

A Cayley–Hamiltonian theorem for periodic finite band matrices
Barry Simon
pp. 525–529
Abstract | Full-Text PDF (134 KB)

Path topology dependence of adiabatic time evolution
Atushi Tanaka and Taksu Cheon
pp. 531–542
Abstract | Full-Text PDF (215 KB)

On quantum graph filters with flat passbands
Ondřej Turek
pp. 543–563
Abstract | Full-Text PDF (303 KB)

Comments on the Chernoff $\sqrt n$-lemma
Valentin Zagrebnov
pp. 565–573
Abstract | Full-Text PDF (169 KB)