Analyticity estimates for the Navier-Stokes equations (2009)
We study spatial analyticity properties of solutions of the Navier-Stokes equations and obtain new growth rate estimates for the analyticity radius. We also study stability properties of strong...
We investigate the large # behavior of #((p -#A) 2 ) when the zero set of B = dA has a non-empty interior. With certain technical hypotheses we show that if either B is bounded away from zero for...
On the Lifetime of Quasi-Stationary States in Non-Relativistic QED (2007)
Hasler, David, Herbst, Ira, Huber, Matthias
We consider resonances in the Pauli-Fierz model of non-relativistic QED. We use and slightly modify the analysis developed by Bach, Froehlich, and Sigal to obtain an upper and lower bound on the...
Cornean, Horia, Herbst, Ira, Skibsted, Erik
We consider a charged particle moving in the plane subject to electromagnetic potentials with non-vanishing radial limits. We analyse the classical and the quantum dynamics for large time in the case...
Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED (2007)
We consider a class of translation invariant models of non-relativistic QED with net charge. Under certain natural assumptions we prove that ground states do not exist in the Fock space.
Realizing holonomic constraints in classical and quantum mechanics (1999)
We consider the problem of constraining a particle to a submanifold Sigma of configuration space using a sequence of increasing potentials. We compare the classical and quantum versions of this...
$L^{2}$-exponential lower bounds to solutions of the Schrödinger equation (1982)
Froese, Richard, Herbst, Ira, Hoffmann-Ostenhof, Maria, Hoffmann-Ostenhof, Thomas
On the asymptotic behavior of Wightman functions in space-like directions (1972)
The asymptotic behavior of the truncated vacuum expectation value of a product of N (unbounded) quasilocal operators, F ( x )=〈 Q 1 ( x 1 ) ... Q N ( x N )〉 T , is investigated for some of the...