
Address:
Department of Mathematics
University of Virginia
Charlottesville, VA 22903
Office:
228 Kerchof Hall
Phone: 4349244933
FAX: 4349823084
Email: iwh @virginia.edu
Office hours:
Monday: 2:003:00pm; Wednesday: 4:005:00pm


Ira Herbst
Ph.D., Physics, University of CaliforniaBerkeley, 1971

Research: Most of my work is in quantum mechanics and covers a range of subjects from nonrelativistic quantum electrodynamics to the Laplacian on noncompact 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:

I. Herbst and J. Rama, Instability of preexisting resonances under a small constant electric field.
(arXiv:1310.4745)

I. Herbst and E. Skibsted, Decay of eigenfunctions of elliptic PDE's.
(arXiv:1306.6878)

D. Hasler and I. Herbst, Ground states in the spin boson model, Ann. Henri Poincaré 12 (2011), 621677.

I. Herbst and E. Skibsted: Analyticity estimates for the NavierStokes equations, Adv. Math.} 228 (2011), 19902033.
(arXiv:mathph/0907.4351)
 D. Hasler and I. Herbst: Absence of ground states for a class of translation invariant models of nonrelativistic QED, Comm. Math. Phys. 279 (2008), no. 3, 769787. (arXiv:mathph/0702096)
 H. Cornean, I. Herbst, and E. Skibsted: Spiraling attractors and quantum dynamics for a class of longrange magnetic fields, J. Funct. Anal. 247(2007), no. 1, 194.
[ARTICLE IN PDF]
 I. Herbst and E. Skibsted: Absence of quantum states corresponding to unstable classical channels,
Ann. Henri Poincaré 9 (2008), 509552. (arXiv:0710.0594)

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. 34, 547610.
[ARTICLE IN PDF]
 B. Froese and I. Herbst: Realizing holonomic constraints in classical and quantum mechanics, Comm. Math. Phys. 220 (2001) 489535.
[ARTICLE IN PDF]
 S. Agmon, I. Herbst, and E. Skibsted: Perturbation of embedded eigenvalues in the generalized Nbody problem, Comm. Math. Phys. 122 (1989), no. 3, 411438.
[ARTICLE IN PDF]
 R. Froese and I. Herbst: Exponential bounds and absence of positive eigenvalues for Nbody Schrödinger operators, Comm. Math. Phys. 87 (1982/83), no. 3, 429447.
[ARTICLE IN PDF]
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