Now that the workshop is over, we have a substantial amount of
material (such as PDF files of transparencies) on the
abstracts page.
These Web-accessible expositions deal with the topics of
the Workshop
on Semiclassical Approximation and Vacuum Energy.
(They should not be thought of as "prerequisites".
The program included a number of introductory lectures.)
- A. Uribe,
Trace formulae
(in First Summer School in Analysis and Mathematical
Physics: Quantization, the Segal-Bargmann Transform and
Semiclassical Analysis (Contemp. Math. 260), ed. by S.
Perez-Esteva and C. Villegas-Blas,
American Mathematical Society, Providence, 2000, pp.
61-90).
- D. Cohen, H. Primack, and U. Smilansky,
Quantal-classical duality and the semiclassical trace
formula
(Annals of Physics 264 (1998), 108-170).
- S. Zelditch,
Survey of the inverse spectral problem
(to appear in the JDG Surveys).
- J. Bolte,
Semiclassical trace formulae and eigenvalue statistics in
quantum chaos
(lectures at 3rd International Summer School/Conference
Let's Face Chaos through Nonlinear Dynamics,
Naribor, Slovenia, 1996).
- J. Marklof,
Selberg's trace formula: An introduction
(lectures at International School Quantum Chaos on Hyperbolic
Manifolds, Gunzburg, Germany, 2003).
- K. A. Milton,
The Casimir effect: Recent controversies and progress
(Journal of Physics A 37 (2004), R209-R277).
- S. A. Fulling,
Global and local vacuum energy and closed orbit theory
(in Quantum Field Theory Under the Influence of External
Conditions,
ed. by K. A. Milton, Rinton, Princeton, 2004,
pp. 166--174).
- R. L. Jaffe and A. Scardicchio,
Casimir effects: An optical approach. I (Nuclear Physics B
704 (2005), 552-582).
- S. De Bièvre,
Quantum chaos: A brief first visit
(in Second Summer School in Analysis and Mathematical
Physics: Topics in Analysis:
Harmonic, Complex, Nonlinear and Quantization (Contemp. Math. 289),
ed. by S.
Perez-Esteva and C. Villegas-Blas,
American Mathematical Society, Providence, 2001, pp. 161-218).
- Some references on quantum
graphs