Research:
Most of my work is in quantum mechanics and covers a range of subjects from non-relativistic quantum electrodynamics to the Laplacian on non-compact Riemannian manifolds. My objective has been to choose problems with some relation to physics, but with the overriding factor to make sure that the mathematical content is interesting and challenging.

Selected papers:
1. I. Herbst and E. Skibsted: Analyticity estimates for the Navier-Stokes equations. (arXiv:math-ph/0907.4351)
2. D. Hasler, I. Herbst, and M. Huber: On the lifetime of quasi-stationary states in non-relativistic QED, Ann. Henri Poincaré 9 (2008), no. 5, 1005-1028. (arXiv:0709.3856)
3. D. Hasler and I. Herbst: Absence of ground states for a class of translation invariant models of non-relativistic QED, to appear in Comm. Math. Phys. 279 (2008), no. 3, 769--787. (arXiv:math-ph/0702096)
4. D. Hasler and I. Herbst: On the self-adjointness and domain of Pauli-Fierz type Hamiltonians, Rev. MAth. Phys. 20 (2008), no. 7, 787-800. (arXiv:0707.1713)
5. H. Cornean, I. Herbst, and E. Skibsted: Classical and quantum dynamics for 2D-electromagnetic potentials homogeneous of degree zero. (arXiv:math-ph/0703089)
6. H. Cornean, I. Herbst, and E. Skibsted: Spiraling attractors and quantum dynamics for a class of long-range magnetic fields, J. Funct. Anal. 247(2007), no. 1, 1-94. [ARTICLE IN PDF]
7. I. Herbst and E. Skibsted: Absence of quantum states corresponding to unstable classical channels. (arXiv:0710.0594)
8. I. Herbst and E. Skibsted: Quantum scattering for potentials independent of |x|: Asymptotic completeness for high and low energies, Comm. Partial Differential Equations 29 (2004), no. 3-4, 547-610. [ARTICLE IN PDF]
9. B. Froese and I. Herbst: Realizing holonomic constraints in classical and quantum mechanics, Comm. Math. Phys. 220 (2001) 489-535. [ARTICLE IN PDF]
10. S. Agmon, I. Herbst, and E. Skibsted: Perturbation of embedded eigenvalues in the generalized N-body problem, Comm. Math. Phys. 122 (1989), no. 3, 411-438. [ARTICLE IN PDF]
11. R. Froese and I. Herbst: Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators, Comm. Math. Phys. 87 (1982/83), no. 3, 429-447. [ARTICLE IN PDF]