Bibliography

[1] Atkins, Peter; Physical Chemistry, New York: W.H. Freeman 1986.

[2] Combes, J.-M.; Duclos, P.; and Seiler, R.: The Born-Oppenheimer Approximation. In: Rigorous Atomic and Molecular Physics (eds. G. Velo, A. Wightman), pp. 139-159. Wien, New York: Springer 1977.

[3] Guerin, S.; Monti, F.; Dupont, J.-M.; and Jauslin, H.R.: On the relation between cavity- dressed states, Floquet states, RWA, and semiclassical models. J. Phys. A. Math. Gen. 30 (1997), 7193-7215.

[4] Hagedorn, George A.: High order corrections to the time-dependent Born-Oppenheimer Approximation I: Smooth Potentials. Ann. of Math. (2) 124 (1986), no.3, 571-590.

[5] Hagedorn, George A.: Molecular propagation through electron energy level crossings (Memoirs of the American Mathematical Society 111, No.536), Providence, RI: American Mathematical Society 1994.

[6] Hagedorn, George A.: Raising and lowering operators for semiclassical wave packets. Ann. Physics 269 (1998), no.1, 77-104.

[7] Time-reversal invariance and the time-dependent Born-Oppenheimer approximation. In: Forty more years of ramifications: spectral asymptotics and its applications, 161- 197, Discourses Math. Appl., 1, Texas A&M Univ., College Station, TX 1991.

[8] Hagedorn, George A.; Joye, Alain: Semiclassical dynamics with exponentially small error estimates. Comm. Math. Phys. 207 (1999), no.2, 439-465.

[9] Hagedorn, George A.: Semiclassical quantum mechanics IV. Large order asymptotics and more general states in more than one dimension. Ann. Inst. H. Poincare Phys. Theor. 42 (1985), no.4, 363-374.

[10] Hagedorn, George A.; Robinson, Sam L.: Bohr-Sommerfeld quantization rules in the semiclassical limit. J. Phys. A. Math. Gen. 31 (1998), 10113-10129.

[11] Johnson, Lee W.; Riess, R. Dean: Numerical Analysis, Reading, Massachusetts: Addison-Wesley Publishing Company, 1982.

[12] Lang, Serge: Analysis I, London: Addison-Wesley Publishing Company 1969.

[13] Muller, Harm Geert: Photoionization of Atoms in Strong Radiation Fields, Amsterdam: Vrije Universiteit te Amsterdam 1985.

[14] Norden, Bengt, 1999 Nobel Prize in Chemistry Press Release, http://www.nobel.se/chemistry/laureates/1999/chemback99.pdf.

[15] Reed, M., and Simon, B., Methods of Modern Mathematical Physics, New York, London: Academic Press 1978.

[16] Yajima, K.: Resonances for the AC-Stark Effect. Comm. Math. Phys. 87 (1982), 331- 352.