User menu

Spectral representation of the three-body Coulomb problem: Perspectives for highly doubly excited states of helium

Bibliographic reference Eiglsperger, Johannes ; Piraux, Bernard ; Madronero, Javier. Spectral representation of the three-body Coulomb problem: Perspectives for highly doubly excited states of helium. In: Physical review. A, Atomic, molecular, and optical physics, Vol. 80, no. 2 (2009)
Permanent URL
  1. Madden R. P., Codling K., New Autoionizing Atomic Energy Levels in He, Ne, and Ar, 10.1103/physrevlett.10.516
  2. Lin C.D., Hyperspherical coordinate approach to atomic and other Coulombic three-body systems, 10.1016/0370-1573(94)00094-j
  3. Burgers A, Wintgen D, Rest J -M, Highly doubly excited S states of the helium atom, 10.1088/0953-4075/28/15/010
  4. Grémaud B, Delande D, Photo-ionization of the helium atom close to the double-ionization threshold: Towards the Ericson regime, 10.1209/epl/i1997-00472-2
  5. Rost Jan M, Schulz K, Domke M, Kaindl G, Resonance parameters of photo doubly excited helium, 10.1088/0953-4075/30/21/010
  6. Tanner Gregor, Richter Klaus, Rost Jan-Michael, The theory of two-electron atoms: between ground state and complete fragmentation, 10.1103/revmodphys.72.497
  7. 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
  8. Sinanoğlu Oktay, Herrick David R., Group theoretic prediction of configuration mixing effects due to Coulomb repulsions in atoms with applications to doubly‐excited spectra, 10.1063/1.430540
  9. Herrick David R., Sinanoǧlu Oktay, Comparison of doubly-excited helium energy levels, isoelectronic series, autoionization lifetimes, and group-theoretical configuration-mixing predictions with large-configuration-interaction calculations and experimental spectra, 10.1103/physreva.11.97
  10. Czasch A., Schöffler M., Hattass M., Schössler S., Jahnke T., Weber Th., Staudte A., Titze J., Wimmer C., Kammer S., Weckenbrock M., Voss S., Grisenti R. E., Jagutzki O., Schmidt L. Ph. H., Schmidt-Böcking H., Dörner R., Rost J. M., Schneider T., Liu Chien-Nan, Bray I., Kheifets A. S., Bartschat K., Partial Photoionization Cross Sections and Angular Distributions for Double Excitation of Helium up to theN=13Threshold, 10.1103/physrevlett.95.243003
  11. Domke M., Schulz K., Remmers G., Kaindl G., Wintgen D., High-resolution study of1Podouble-excitation states in helium, 10.1103/physreva.53.1424
  12. Jiang Y. H., Püttner R., Delande D., Martins M., Kaindl G., Explicit analysis of chaotic behavior in radial and angular motion in doubly excited helium, 10.1103/physreva.78.021401
  13. Handke G., Draeger M., Friedrich H., Classical dynamics of s-wave helium, 10.1016/0378-4371(93)90461-c
  14. Handke G., Draeger M., Ihra W., Friedrich H., Scattering and (e,2e) reactions in classicals-wave helium, 10.1103/physreva.48.3699
  15. Draeger M., Handke G., Ihra W., Friedrich H., One- and two-electron excitations of helium in thes-wave model, 10.1103/physreva.50.3793
  16. Ihra W., Draeger M., Handke G., Friedrich H., Time-dependent approach to electron scattering and ionization in thes-wave model, 10.1103/physreva.52.3752
  17. Le Anh-Thu, Morishita Toru, Tong X.-M., Lin C. D., Signature of chaos in high-lying doubly excited states of the helium atom, 10.1103/physreva.72.032511
  18. Xu Junliang, Le Anh-Thu, Morishita Toru, Lin C. D., Signature of Ericson fluctuations in helium inelastic scattering cross sections near the double ionization threshold, 10.1103/physreva.78.012701
  19. Madroñero J, Schlagheck P, Hilico L, Grémaud B, Delande D, Buchleitner A, Decay rates of planar helium, 10.1209/epl/i2004-10474-0
  20. Richter K., Wintgen D., Stable planetary atom configurations, 10.1103/physrevlett.65.1965
  21. Eiglsperger Johannes, Madroñero Javier, Highly doubly excited states of planar helium: Fluctuations in photoionization cross sections, 10.1103/physreva.80.022512
  22. Madroñero Javier, Buchleitner Andreas, Ab initioquantum approach to planar helium under periodic driving, 10.1103/physreva.77.053402
  23. Pekeris C. L., Ground State of Two-Electron Atoms, 10.1103/physrev.112.1649
  24. Rotenberg Manuel, Theory and Application of Sturmian Functions, Advances in Atomic and Molecular Physics (1970) ISBN:9780120038060 p.233-268, 10.1016/s0065-2199(08)60206-7
  25. Huens Etienne, Piraux Bernard, Bugacov Alejandro, Gajda Mariusz, Numerical studies of the dynamics of multiphoton processes with arbitrary field polarization: Methodological considerations, 10.1103/physreva.55.2132
  26. Lagmago Kamta G., Piraux B., Scrinzi A., Configuration-interaction approach for high-lying singly and doubly excited states of two-electron systems, 10.1103/physreva.63.040502
  27. Feng Liang, van der Hart Hugo W., Double photoionization of doubly exited helium, 10.1103/physreva.66.031402
  28. Feng Liang, Hart Hugo W van der, Two-photon double ionization of He, 10.1088/0953-4075/36/1/101
  29. McCurdy C. W., Horner D. A., Rescigno T. N., Martín F., Theoretical treatment of double photoionization of helium using aB-spline implementation of exterior complex scaling, 10.1103/physreva.69.032707
  30. Laulan S., Bachau H., One- and two-photon double ionization of beryllium with ultrashort ultraviolet laser fields, 10.1103/physreva.69.033408
  31. Antoine Philippe, Foumouo Emmanuel, Piraux Bernard, Shimizu Toshihiko, Hasegawa Hirokazu, Nabekawa Yasuo, Midorikawa Katsumi, Two-photon double ionization of helium: An experimental lower bound of the total cross section, 10.1103/physreva.78.023415
  32. Nubbemeyer T., Gorling K., Saenz A., Eichmann U., Sandner W., Strong-Field Tunneling without Ionization, 10.1103/physrevlett.101.233001
  33. Parker J. S., Doherty B. J. S., Taylor K. T., Schultz K. D., Blaga C. I., DiMauro L. F., High-Energy Cutoff in the Spectrum of Strong-Field Nonsequential Double Ionization, 10.1103/physrevlett.96.133001
  34. Parker J S, Meharg K J, McKenna G A, Taylor K T, Single-ionization of helium at Ti:Sapphire wavelengths: rates and scaling laws, 10.1088/0953-4075/40/10/008
  35. Zamastil J., Čı́žek J., Kalhous M., Skála L., Šimánek M., The use of so(2,1) algebra for the evaluation of atomic integrals: The study of two-electron atoms, 10.1063/1.1760844
  36. Zamastil J., Vinette F., Šimánek M., Calculation of atomic integrals using commutation relations, 10.1103/physreva.75.022506
  37. Varshalovich D A, Moskalev A N, Khersonskii V K, Quantum Theory of Angular Momentum, ISBN:9789971501075, 10.1142/0270
  38. Aguilar J., Combes J. M., A class of analytic perturbations for one-body Schrödinger Hamiltonians, 10.1007/bf01877510
  39. Balslev E., Combes J. M., Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions, 10.1007/bf01877511
  40. Simon Barry, Resonances in n-Body Quantum Systems With Dilatation Analytic Potentials and the Foundations of Time-Dependent Perturbation Theory, 10.2307/1970847
  41. Reinhardt W P, Complex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics, 10.1146/annurev.pc.33.100182.001255
  42. Ho Y.K., The method of complex coordinate rotation and its applications to atomic collision processes, 10.1016/0370-1573(83)90112-6
  43. S. Graffi, Ann. Inst. Henri Poincaré, Sect. A, 42, 215 (1985)
  44. M. Reed, Methods of Modern Mathematical Physics: Analysis of Operators (1978)
  45. Pont Marcel, Shakeshaft Robin, Analytic structure of the ac quasienergy in the complex-field plane, 10.1103/physreva.43.3764
  46. Bohm A., Gadella M., Mainland G. Bruce, Gamow vectors and decaying states, 10.1119/1.15797
  47. L. D. Landau, Lehrbuch der Theoretischen Physik: III Quantenmechanik (1979)
  48. McQuarrie Donald A., Handbook of Mathematical Functions, 10.1119/1.1972842
  49. C. Lanczos, J. Res. Natl. Bur. Stand., 45, 255 (1950)
  50. Parlett B. N., Scott D. S., The Lanczos Algorithm with Selective Orthogonalization, 10.2307/2006037
  51. Ericsson Thomas, Ruhe Axel, The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems, 10.2307/2006390
  52. Roothaan C. C. J., Weiss A. W., Correlated Orbitals for the Ground State of Heliumlike Systems, 10.1103/revmodphys.32.194
  53. Byun Chang Woo, Choi Nark Nyul, Lee Min-Ho, Tanner Gregor, Scaling Laws for the Photoionization Cross Section of Two-Electron Atoms, 10.1103/physrevlett.98.113001