Department of Mathematics
University of Virginia
Charlottesville, VA 22903

Office: 228 Kerchof Hall

Phone: 434-924-4933

FAX: 434-982-3084

Email: iwh

Office hours:
Monday:  2:00-3:00pm; Wednesday:  4:00-5:00pm

                 Ira Herbst
                 Ph.D., Physics, University of California-Berkeley, 1971

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 J. Rama, Instability of pre-existing resonances under a small constant electric field. (arXiv:1310.4745)
  2. I. Herbst and E. Skibsted, Decay of eigenfunctions of elliptic PDE's. (arXiv:1306.6878)
  3. D. Hasler and I. Herbst, Ground states in the spin boson model, Ann. Henri Poincaré 12 (2011), 621-677.
  4. I. Herbst and E. Skibsted: Analyticity estimates for the Navier-Stokes equations, Adv. Math.} 228 (2011), 1990--2033. (arXiv:math-ph/0907.4351)
  5. D. Hasler and I. Herbst: Absence of ground states for a class of translation invariant models of non-relativistic QED, Comm. Math. Phys. 279 (2008), no. 3, 769--787. (arXiv:math-ph/0702096)
  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, Ann. Henri Poincaré 9 (2008), 509-552. (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]