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Explicit schemes for time propagating many-body wave functions

Bibliographic reference Frapiccini, Ana Laura ; Aliou Hamido ; Schröter, Sebastian ; Mota-Furtado, Francisca ; Piraux, Bernard ; et. al. Explicit schemes for time propagating many-body wave functions. In: Physical review. A, Atomic, molecular, and optical physics, Vol. 89, no. 2, p. 023418 (14/02/2014)
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  1. H. G. Muller, Atoms in Intense Laser Fields (1992)
  2. A. L'Huillier, Atoms in Intense Laser Fields (1992)
  3. Hansch P., Walker M. A., Van Woerkom L. D., Spatially dependent multiphoton multiple ionization, 10.1103/physreva.54.r2559
  4. Antoine Philippe, Milošević Dejan B., L’Huillier Anne, Gaarde Mette B., Salières Pascal, Lewenstein Maciej, Generation of attosecond pulses in macroscopic media, 10.1103/physreva.56.4960
  5. Corkum Paul B., Recollision physics, 10.1063/1.3563818
  6. Borot Antonin, Malvache Arnaud, Chen Xiaowei, Jullien Aurélie, Geindre Jean-Paul, Audebert Patrick, Mourou Gérard, Quéré Fabien, Lopez-Martens Rodrigo, Attosecond control of collective electron motion in plasmas, 10.1038/nphys2269
  7. P. G. Burke, Atomic, Molecular and Optical Physics Handbook (1996)
  8. Joachain J. C., Roper L. David, Quantum Collision Theory, 10.1063/1.3024665
  9. Sidky E. Y., Esry B. D., Boundary-Free Propagation with the Time-Dependent Schrödinger Equation, 10.1103/physrevlett.85.5086
  10. Pindzola M S, Robicheaux F, Loch S D, Berengut J C, Topcu T, Colgan J, Foster M, Griffin D C, Ballance C P, Schultz D R, Minami T, Badnell N R, Witthoeft M C, Plante D R, Mitnik D M, Ludlow J A, Kleiman U, The time-dependent close-coupling method for atomic and molecular collision processes, 10.1088/0953-4075/40/7/r01
  11. Runge Erich, Gross E. K. U., Density-Functional Theory for Time-Dependent Systems, 10.1103/physrevlett.52.997
  12. Marques M.A.L., Gross E.K.U., TIME-DEPENDENT DENSITY FUNCTIONAL THEORY, 10.1146/annurev.physchem.55.091602.094449
  13. Castro Alberto, Marques Miguel A. L., Rubio Angel, Propagators for the time-dependent Kohn–Sham equations, 10.1063/1.1774980
  14. J. D. Lambert, Numerical Methods for Ordinary Differential Systems. The Initial Value Problem (1991)
  15. L. Lapidus, Numerical Solution of Ordinary Differential Equations (1971)
  16. Fatunla Simeon Ola., An implicit two-point numerical integration formula for linear and nonlinear stiff systems of ordinary differential equations, 10.1090/s0025-5718-1978-0474830-0
  17. Fatunla Simeon Ola, Numerical integrators for stiff and highly oscillatory differential equations, 10.1090/s0025-5718-1980-0559191-x
  18. Smyth Edward S., Parker Jonathan S., Taylor K.T., Numerical integration of the time-dependent Schrödinger equation for laser-driven helium, 10.1016/s0010-4655(98)00083-6
  19. Leforestier C, Bisseling R.H, Cerjan C, Feit M.D, Friesner R, Guldberg A, Hammerich A, Jolicard G, Karrlein W, Meyer H.-D, Lipkin N, Roncero O, Kosloff R, A comparison of different propagation schemes for the time dependent Schrödinger equation, 10.1016/0021-9991(91)90137-a
  20. M. Rotenberg, Advances in Atomic and Molecular Physics (1970)
  21. Gottlieb David, Orszag Steven A., Numerical Analysis of Spectral Methods : Theory and Applications, ISBN:9780898710236, 10.1137/1.9781611970425
  22. Eiglsperger Johannes, Schönwetter Moritz, Piraux Bernard, Madroñero Javier, Spectral data for doubly excited states of helium with non-zero total angular momentum, 10.1016/j.adt.2011.11.003
  23. Kato Tosio, On the eigenfunctions of many-particle systems in quantum mechanics, 10.1002/cpa.3160100201
  24. Bachau H, Cormier E, Decleva P, Hansen J E, Martín F, Applications ofB-splines in atomic and molecular physics, 10.1088/0034-4885/64/12/205
  25. DI MENZA Laurent, Transparent and absorbing boundary conditions for the schrödinger equation in a bounded domain, 10.1080/01630569708816790
  26. MUGA J, PALAO J, NAVARRO B, EGUSQUIZA I, Complex absorbing potentials, 10.1016/j.physrep.2004.03.002
  27. He F., Ruiz C., Becker A., Absorbing boundaries in numerical solutions of the time-dependent Schrödinger equation on a grid using exterior complex scaling, 10.1103/physreva.75.053407
  28. Scrinzi Armin, Infinite-range exterior complex scaling as a perfect absorber in time-dependent problems, 10.1103/physreva.81.053845
  29. Colgan J., Pindzola M. S., Application of the time-dependent close-coupling approach to few-body atomic and molecular ionizing collisions, 10.1140/epjd/e2012-30517-2
  30. Laulan S., Bachau H., Correlation effects in two-photon single and double ionization of helium, 10.1103/physreva.68.013409
  31. Foumouo Emmanuel, Kamta Gérard Lagmago, Edah Gaston, Piraux Bernard, Theory of multiphoton single and double ionization of two-electron atomic systems driven by short-wavelength electric fields: Anab initiotreatment, 10.1103/physreva.74.063409
  32. Feist J., Nagele S., Pazourek R., Persson E., Schneider B. I., Collins L. A., Burgdörfer J., Nonsequential two-photon double ionization of helium, 10.1103/physreva.77.043420
  33. Malegat L, Bachau H, Piraux B, Reynal F, A novel estimate of the two-photon double-ionization cross section of helium, 10.1088/0953-4075/45/17/175601
  34. Palacios A., Rescigno T. N., McCurdy C. W., Time-dependent treatment of two-photon resonant single and double ionization of helium by ultrashort laser pulses, 10.1103/physreva.79.033402
  35. Malegat L, Bachau H, Hamido A, Piraux B, Analysing a two-electron wavepacket by semiclassically propagating its Fourier components in space, 10.1088/0953-4075/43/24/245601
  36. Scrinzi Armin, t-SURFF: fully differential two-electron photo-emission spectra, 10.1088/1367-2630/14/8/085008
  37. Hutchinson Steven, Lysaght Michael A, Hart Hugo W van der, Multi-electron Dynamics using Time Dependent R-Matrix theory, 10.1088/1742-6596/388/3/032022
  38. Hamido Aliou, Eiglsperger Johannes, Madroñero Javier, Mota-Furtado Francisca, O’Mahony Patrick, Frapiccini Ana Laura, Piraux Bernard, Time scaling with efficient time-propagation techniques for atoms and molecules in pulsed radiation fields, 10.1103/physreva.84.013422
  39. Madroñero Javier, Piraux Bernard, Explicit time-propagation method to treat the dynamics of driven complex systems, 10.1103/physreva.80.033409
  40. Y. Saad, Iterative Methods for Sparse Linear Systems (2000)
  41. Arnoldi W. E., The principle of minimized iterations in the solution of the matrix eigenvalue problem, 10.1090/qam/42792
  42. Park Tae Jun, Light J. C., Unitary quantum time evolution by iterative Lanczos reduction, 10.1063/1.451548
  43. Saad Y., Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator, 10.1137/0729014
  44. Hochbruck Marlis, Lubich Christian, On Krylov Subspace Approximations to the Matrix Exponential Operator, 10.1137/s0036142995280572
  45. Magnus Wilhelm, On the exponential solution of differential equations for a linear operator, 10.1002/cpa.3160070404
  46. On the solution of linear differential equations in Lie groups, 10.1098/rsta.1999.0362
  47. van der Houwen P. J., Sommeijer B. P., Iterated Runge–Kutta Methods on Parallel Computers, 10.1137/0912054
  48. van der Houwen P.J., Sommeijer B.P., Analysis of parallel diagonally implicit iteration of Runge-Kutta methods, 10.1016/0168-9274(93)90047-u
  49. van der Vorst H. A., Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems, 10.1137/0913035
  50. Schröter Sebastian, Hervieux Paul-Antoine, Manfredi Giovanni, Eiglsperger Johannes, Madroñero Javier, Exact treatment of planar two-electron quantum dots: Effects of anharmonicity on the complexity, 10.1103/physrevb.87.155413
  51. Gorin Thomas, Prosen Tomaž, Seligman Thomas H., Žnidarič Marko, Dynamics of Loschmidt echoes and fidelity decay, 10.1016/j.physrep.2006.09.003