55 citations · 138 across the 14 of their papers we have counts for
14 papers
Scattering of particles bounded to an infinite planar curve
J. Dittrich
Non-relativistic quantum particles bounded to a curve in R^2 by attractive contact -interaction are considered. The interval between the energy of the transversal bound state an…
Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide
Philippe Briet, Jaroslav Dittrich, David Krejcirik
Quantum waveguide with the shape of planar infinite straight strip and combined Dirichlet and Neumann boundary conditions on the opposite half-lines of the boundary is considered.…
On the solution to the separated equation in the 3-particle Calogero-Moser problem
N. G. Inozemtseva, J. Dittrich, V. I. Inozemtsev
We propose the exact solution of the equation in separated variable which appears in the process of constructing solutions to the quantum Calogero-Moser three-particle problem with…
On eigenvalue asymptotics for strong delta-interactions supported by surfaces with boundaries
J. Dittrich, P. Exner, Ch. Kühn +1
Let be a -smooth relatively compact orientable surface with a sufficiently regular boundary. For , let denote the th negat…
Scattering through a straight quantum waveguide with combined boundary conditions
Ph. Briet, J. Dittrich, E. Soccorsi
Scattering through a straight two-dimensional quantum waveguide Rx(0,d) with Dirichlet boundary conditions on (-\infty,0)x{y=0} \cup (0,\infty)x{y=d} and Neumann boundary condition…
The Commutativity of Integrals of Motion for Quantum Spin Chains and Elliptic Functions Identities
J. Dittrich, V. I. Inozemtsev
We prove the commutativity of the first two nontrivial integrals of motion for quantum spin chains with elliptic form of the exchange interaction. We also show thair linear indepen…