A convergence theorem for Dirichlet forms with applications to boundary value problems with varying domains.
A decoupling approach to resonances for multiparticle quantum scattering systems
A functional model for a family of operators induced by Laguerre operator
The paper generalizes the instruction, suggested by B. Sz.-Nagy and C. Foias, for operatorfunction induced by the Cauchy problem A unitary dilatation for is constructed in the present paper. then a translational model for the family is presented using a model construction scheme, suggested by Zolotarev, V., [3]. Finally, we derive a discrete functional model of family and operator applying the Laguerre transform where are Laguerre polynomials [6, 7]. We show that the Laguerre transform...
A Note on Time Dependent Scattering Theory for P2 - P2 + (1 + |Q|) - 1 ... and P1 P2 + (1 + |Q|) - 1 - ... on L2 (R2).
A Remark on Two Hilbert Space Scattering Theory.
A scattering theory for automorphic functions
A Simple Example of Localized Parametric Resonance for the Wave Equation
2000 Mathematics Subject Classification: 35L05, 35P25, 47A40.The problem studied here was suggested to us by V. Petkov. Since the beginning of our careers, we have benefitted from his insights in partial differential equations and mathematical physics. In his writings and many discussions, the conjuction of deep analysis and specially interesting problems has been a source inspiration for us.The research of J. Rauch is partially supported by the U.S. National Science Foundation under grant NSF-DMS-0104096...
A tauberian theorem in quantum mechanical inverse scattering theory
A Two Hilbert Space Scattering Theorem.
Absolutely continuous and singular spectral shift functions [Book]
Addendum “Complex transformation method and resonances in one-body quantum systems”
An analog of the RAGE theorem for the impact parameter approximation to three particle scattering
An upper bound for the local time-decay of scattering solutions for the Schrödinger equation with Coulomb potential
Analytic scattering theory of quantum mechanical three-body systems
Applications de la méthode de Lavine au problème à trois corps
Approximation semi-classique de la phase de diffusion pour un potentiel (d'après un travail de D. Robert et H. Tamura)
Arrival time observables in quantum mechanics
Asymptotic completeness for the impact parameter approximation to three particle scattering
Asymptotic completeness in long range scattering. II
Asymptotic expansion in time of the Schrödinger group on conical manifolds
For Schrödinger operator on Riemannian manifolds with conical end, we study the contribution of zero energy resonant states to the singularity of the resolvent of near zero. Long-time expansion of the Schrödinger group is obtained under a non-trapping condition at high energies.