Cường độ cộng hưởng của hiệu ứng AC-Stark

Aguilar, J., Combes, J. M.: A class of analytic perturbations for one body Schrödinger Hamiltonians. Commun. Math. Phys.22, 269–279 (1971) Balslev, E., Combes, J. M.: Spectral properties of many-body Schrödinger operators with dilation analytic interactions. Commun. Math. Phys.22, 280–294 (1971) Eastham, M. S. P.: The spectral theory for periodic differential equations. Edinburgh-London: Scottish Academic Press 1973 Graffi, S., Grecchi, V.: Resonances in Stark effect and perturbation theory. Commun. Math. Phys.62, 83–96 (1978) Graffi, S., Grecchi, V.: Resonances in the Stark effect of atomic systems. Commun. Math. Phys.79, 91–109 (1981) Herbst, I. W.: Dilation analyticity in constant field. I. The two body problem, Commun. Math. Phys.64, 279–298 (1979) Herbst, I. W., Simon, B.: Dilation analyticity in constant electric field. II. The n-body case, Borel summability. Commun. Math. Phys.80, 181–216 (1981) Howland, J. S.: Stationary theory for time dependent Hamiltonians. Math. Ann.207, 315–335 (1974) Howland, J. S.: Scattering theory for Hamiltonians periodic in time. Ind. Univ. Math. J.28, 471–494 (1979) Howland, J. S.: Two problems with time dependent Hamiltonians, in Mathematical methods and applications of scattering theory. DeSanto, J. A. et al. In: Lecture Notes in Physics130, Berlin, Heidelberg, New York: Springer, 1980 Jensen, A.: Resonances in an abstract analytic scattering theory. Ann. Inst. Henri Poincaré33, 209–223 (1980) Kato, T.: Perturbation theory for linear Operators, New York: Springer, 1966 Kato, T.: Linear evolution equations of “hyperbolic type”. T. Fac. Sci. Univ. Tokyo, Sec. IA.17, 241–258 (1970) Kitada, H., Yajima, K.: A scattering theory for time-dependent long range potentials. Duke Math. J.49, 341–376 (1982) Kuroda, S. T.: An introduction to scattering theory. Lecture Notes. Series No.51, Aarhus Univ. (1978) Landau, L. D. Lifschitz, E. M.: Quantum mechanics. Non-relativistic theory. (2nd edn., New York: Pergamon Press 1965 Lanhoff, P. W., Epstein, S. T., Karplus, M.: Aspects of time-dependent perturbation theory. Rev. Mod. Phys.44, 602–644 (1974) Scully, M. O., Sargent, III, M.: The concept of the photon: Physics Today25, 38–47 (1972) Steinberg, S.: Meromorphic families of compact operators. Arch. Rat. Mech. Anal.31, 372–379 (1968/69) Tanabe, H.: Equations of evolution. London, San Francisco, Melbourne: Pitman, 1979 Yajima, K.: Scattring theory for Schrödinger equations with potentials periodic in time, J. Math. Soc. Jpn.29, 729–743 (1977) Yajima, K.: Spectral and scattering theory for Schrödinger operators with Stark-effect II. J. Fac. Sci. Univ. Tokyo, Sec. IA.28, 1–15 (1981) Reed, M. Simon, B.: Methods of modern mathematical Physics, IV. Analysis of Operators, New York: Academic Press 1978 Avron, J. E. Herbst, I. W.: Spectral and scattering theory for Schrödinger operators related to the Stark-effect. Comm. Math. Phys.52, 239–254 (1977) Hardy, J. H., Littlewood, J. E., Polya, G.: Inequalities. Cambridge: Cambridge Univ. Press, 1934. Kato, T.: Smooth operators and commutators. Studia Math.31, 132–140 (1968) Simon, B.: Resonances inN-body quantum systems with dilation analytic potentials and the foundation of time-dependent perturbation theory. Ann. Math.97, 247–274 (1973) Ginibre, J., Moulin, M.: Hilbert space approach to the quantum mechanical three body problem. Ann. Inst. H. Poincaré21, 97–145 (1974)