Stephen J. Gustafson Israel Michael Sigal Third Edition Page 1 Universitext Stephen J.
Gustafson Israel Michael Sigal Mathematical Concepts of Quantum Mechanics Third Edition …

By this we mean that</>> 0 and that (f> E C2 (R3) Coffman [10]) that such solutions exist and
are uniqu ity. Moreover, they are radial and smooth. Similar f general nonlinearities; see eg …

This paper is mainly devoted to the study of time decay estimates of the higher-order
Schrödinger-type operator $ H=(-\Delta)^{m}+ V (x) $ in $\mathbf {R}^{n} $ for $ n> 2m $ and …

We consider a family H ˆ a, b (μ)= H ˆ 0+ μ V ˆ a, b μ> 0, of Schrödinger-type operators on the
two dimensional lattice Z 2, where H ˆ 0 is a Laurent-Toeplitz-type convolution operator with …

We study the perturbation of bound states embedded in the continuous spectrum which are
unstable by the Fermi Golden Rule. The approach to resonance theory based on spectral …

In this paper we study the decay estimates of the fourth order Schrödinger operator H= Δ 2+
V (x) on R 2 with a bounded decaying potential V (x). We first deduce the asymptotic …

This paper is devoted to establishing several types of L p-boundedness of wave operators
W±= W±(H, Δ 2) associated with the bi-Schrödinger operators H= Δ 2+ V (x) on the line R …

This paper is devoted to studying time decay estimates of the solution for Beam equation
(higher order type wave equation) with a potential ut t+(Δ 2+ V) u= 0, u (0, x)= f (x), ut (0, x) …

A notion of resolvent set for an operator acting in a rigged Hilbert space D⊂ H⊂ D× is
proposed. This set depends on a family of intermediate locally convex spaces living …

Motivated by the long-time transport properties of quantum waves in weakly disordered
media, the present work puts random Schrödinger operators into a new spectral perspective …