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journal = {J. Phys. Chem. Lett.},  }  @article{Hatano01022008,  author = {Hatano, Naomichi and Sasada, Keita and Nakamura, Hiroaki and Petrosky, Tomio},   title = {Some Properties of the Resonant State in Quantum Mechanics and Its Computation},  volume = {119},   number = {2},   pages = {187-222},   year = {2008},   doi = {10.1143/PTP.119.187},   abstract ={The resonant state of open quantum systems is studied from the viewpoint of the eigen-function with an outgoing momentum flux. We show that the number of particles is conserved for a resonant state if we use an expanding volume of integration in order to take account of the outgoing momentum flux; the number of particles in a fixed volume of integration would decay exponentially. Moreover, we introduce new numerical methods of treating the resonant state with the use of an effective potential. We first present a numerical method for finding a resonance pole in the complex energy plane. This method seeks an energy eigenvalue iteratively. We found that it leads to super-convergence, i.e., convergence whose rate is exponential with respect to the iteration step. Also, it is independent of the commonly used complex scaling. We also present a numerical trick for computing the time evolution of the resonant state in a limited spatial area. Because the wave function of the resonant state is diverging away from the scattering potential, it is difficult to follow its time evolution numerically in a finite area using previous methods.},   URL = {http://ptp.oxfordjournals.org/content/119/2/187.abstract},   eprint = {http://ptp.oxfordjournals.org/content/119/2/187.full.pdf+html},   journal = {Prog. Theor. Phys.}   }  @article{simon1973resonances,  title={Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory},  author={Simon, Barry},  journal={Ann. Math.},  pages={247--274},  year={1973},  publisher={JSTOR}  }  % Reinhardt big annurev  %journal = {Annual Review of Physical Chemistry},  @article{doi:10.1146/annurev.pc.33.100182.001255,  author = {Reinhardt, W P},  title = {Complex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics},  journal = {Annu. Rev. Phys. Chem.},  volume = {33},  number = {1},  pages = {223-255},  year = {1982},  doi = {10.1146/annurev.pc.33.100182.001255},  URL = {http://www.annualreviews.org/doi/abs/10.1146/annurev.pc.33.100182.001255},  }  % The big YK Ho review  @article{Ho19831,  title = "The method of complex coordinate rotation and its applications to atomic collision processes ",  journal = "Phys. Rep.",  volume = "99",  number = "1",  pages = "1 - 68",  year = "1983",  note = "",  issn = "0370-1573",  doi = "http://dx.doi.org/10.1016/0370-1573(83)90112-6",  url = "http://www.sciencedirect.com/science/article/pii/0370157383901126",  author = "Y.K. Ho",  abstract = "The recent developments of the method of complex coordinate rotation are the subject of this review. The theoretical and computational aspects of this method will be discussed, with emphasis on atomic resonance calculations. Furthermore, applications to other areas such as molecular resonances, Stark effect in atoms, photoionization cross section calculations, etc., will also be discussed. "  }  % Scrinzi He calculations  @article{PhysRevLett.83.706,  title = {Ionization Above the {C}oulomb Barrier},  author = {Scrinzi, Armin and Geissler, Michael and Brabec, Thomas},  journal = {Phys. Rev. Lett.},  volume = {83},  issue = {4},  pages = {706--709},  year = {1999},  month = {Jul},  doi = {10.1103/PhysRevLett.83.706},  url = {http://link.aps.org/doi/10.1103/PhysRevLett.83.706},  publisher = {American Physical Society}  }  % ADK  @article{adk,  title="Tunnel Ionization of Complex Atoms and Atomic Ions in a Varying Electromagnetic-Field",  author = "M. V. Ammosov and N. B. Delone and V. P. Krainov",  journal = "Zh. Éksp. Teor. Fiz.",  volume = "91",  pages = "2008-2013",  year = "1986",  }  % van Leeuwen LB94 and discussion of asymptotic forms vs ionization energy  @article{PhysRevA.49.2421,  title = {Exchange--correlation potential with correct asymptotic behavior},  author = {van Leeuwen, R. and Baerends, E. J.},  journal = {Phys. Rev. A},  volume = {49},  issue = {4},  pages = {2421--2431},  year = {1994},  month = {Apr},  doi = {10.1103/PhysRevA.49.2421},  url = {http://link.aps.org/doi/10.1103/PhysRevA.49.2421},  publisher = {American Physical Society}  }  @book{szabo1996modern,  title = {{Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory}},