58 citations · 134 across the 4 of their papers we have counts for
4 papers
Note on a Product Formula Related to Quantum Zeno Dynamics
Pavel Exner, Takashi Ichinose
Given a nonnegative self-adjoint operator acting on a separable Hilbert space and an orthogonal projection such that is densely defined, we…
Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide
Claudio Cacciapuoti, Pavel Exner
In distinction to the Neumann case the squeezing limit of a Dirichlet network leads in the threshold region generically to a quantum graph with disconnected edges, exceptions may c…
Lieb-Thirring inequalities for geometrically induced bound states
Pavel Exner, Helmut Linde, Timo Weidl
We prove new inequalities of the Lieb-Thirring type on the eigenvalues of Schrödinger operators in wave guides with local perturbations. The estimates are optimal in the weak-coupl…
Product formula related to quantum Zeno dynamics
P. Exner, T. Ichinose
We prove a product formula which involves the unitary group generated by a semibounded self-adjoint operator and an orthogonal projection on a separable Hilbert space $\HH$, wi…