26
A. V. Glushkov
72. Simon B (1979) The definition of molecular resonance curves by the method of exterior
complex scaling. Phys Lett A 71(2–3):211–214
73. Resonances (1989) The unifying route towards the formulation of dynamical processes—
foundations and applications. In: Brändas E, Elander N (eds) Nuclear, atomic and molecular
physics. Series: Lecture Notes in Physics, vol 325. Springer, Berlin, pp 1–564
74. Ostrovsky VN, Elander N (2005) Scattering resonances and background associated with an
asymmetric potential barrier via Siegert pseudostates. Phys Rev A 71:052707
75. Sigal IM (1988) Geometric theory of Stark resonances in multielectron systems. Commun
Math Phys 119(2):287–314
76. Herbst IW, Simon B (1978) Stark effect revisited. Phys Rev Lett 41(2):67–69
77. Silverstone HJ, Adams BG, Cizek et al (1979) Stark effect in hydrogen: dispersion relation,
asymptotic formulas, and calculation of the ionization rate via high-order perturbation theory.
Phys Rev Lett 43(20):1498–1501
78. Cerjan C, Hedges R, Holt C et al (1978) Complex coordinates and the Stark effect. Int J Quant
Chem 14(4):393–418
79. Luc-Koenig E, Bachelier A (1980) Systematic theoretical study of the Stark spectrum of
atomic hydrogen. I. Density of continuum states. J Phys B: At Mol Phys 13:1743–1756
80. Buyadzhi VV, Zaichko P A, Gurskaya M Y, Kuznetsova AA, Ponomarenko EL, Ternovsky
VB (2017) Relativistic theory of excitation and ionization of Rydberg atomic systems in a
Black-body radiation field. J Phys: Conf Ser 810:012047
81. Maquet A, Chu SI, Reinhardt WP (1983) Stark ionization in dc and ac fields: an L2 complexcoordinate approach. Phys Rev A 27(6):2946–2970
82. Reinhardt WP (1982) Padé summations for the real and imaginary parts of atomic stark
eigenvalues. Int J Quant Chem 21(1):133–146
83. Franceschini V, Grecchi V, Silverstone H (1985) Complex energies from real perturbation
series for the LoSurdo-Stark effect in hydrogen by Borel-Padé approximants. J Phys Rev A
32(3):1338
84. Benassi L, Grecchi V (1980) Resonances in the Stark effect and strongly asymptotic
approximants. J Phys B: At Mol Phys 13(5):911
85. Farrelly D, Reinhardt WP (1983) Uniform semiclassical and accurate quantum calculations
of complex energy eigenvalues for the hydrogen atom in a uniform electric field. J Phys B:
At Mol Phys 16(12):2103
86. Filho O, Fonseca A, Nazareno H et al (1990) Different approach to the Stark effect: application
to the hydrogen ground state. Phys Rev A 42(7):4008–4014
87. Kondratovich VD, Ostrovsky VN (1984) Resonance and interference phenomena in the photoionisation of a hydrogen atom in a uniform electric field. II. Overlapping resonances and
interference. J Phys B: At Mol Phys 17(10):2011
88. Telnov DA (1989) DC Stark effect in a hydrogen atom via Sturmian expansions. J Phys B:
At Mol Opt Phys 22(14):L399–L403
89. Ho Y-K (1983) The method of complex coordinate rotation and its applications to atomic
collision processes. Phys Rep 99(1):1–68
90. Ivanov IA, Ho Y-K (2004) Complex rotation method for the Dirac Hamiltonian. Phys Rev A
69:023407
91. González-Férez R, Schweizer W (2000) In: Hernández-Laguna A, Maruani J, McWeeny R,
Wilson S (eds) Quantum systems in chemistry and physics. Series: Progress in Theoretical
Chemistry and Physics, vol 23. Springer, Berlin, p 17
92. Sahoo S, Ho Y-K (2000) Stark effect on the low-lying excited states of the hydrogen and the
lithium atoms. J Phys B: At Mol Opt Phys 33:5151–5164
93. Sahoo S, Ho Y-K (2000) The complex absorbing potential method (CAP) to study the Stark
effect in hydrogen and lithium. J Phys B: At Mol Opt Phys 33:2195–2206
94. Zimmerman ML, Littman MG, Kash MM et al (1979) Stark structure of the Rydberg states
of alkali-metal atoms. Phys Rev A 20:2251–2275
95. Harmin DA (1982) Theory of the Stark effect. Phys Rev A 26:2656–2681
A. V. Glushkov
72. Simon B (1979) The definition of molecular resonance curves by the method of exterior
complex scaling. Phys Lett A 71(2–3):211–214
73. Resonances (1989) The unifying route towards the formulation of dynamical processes—
foundations and applications. In: Brändas E, Elander N (eds) Nuclear, atomic and molecular
physics. Series: Lecture Notes in Physics, vol 325. Springer, Berlin, pp 1–564
74. Ostrovsky VN, Elander N (2005) Scattering resonances and background associated with an
asymmetric potential barrier via Siegert pseudostates. Phys Rev A 71:052707
75. Sigal IM (1988) Geometric theory of Stark resonances in multielectron systems. Commun
Math Phys 119(2):287–314
76. Herbst IW, Simon B (1978) Stark effect revisited. Phys Rev Lett 41(2):67–69
77. Silverstone HJ, Adams BG, Cizek et al (1979) Stark effect in hydrogen: dispersion relation,
asymptotic formulas, and calculation of the ionization rate via high-order perturbation theory.
Phys Rev Lett 43(20):1498–1501
78. Cerjan C, Hedges R, Holt C et al (1978) Complex coordinates and the Stark effect. Int J Quant
Chem 14(4):393–418
79. Luc-Koenig E, Bachelier A (1980) Systematic theoretical study of the Stark spectrum of
atomic hydrogen. I. Density of continuum states. J Phys B: At Mol Phys 13:1743–1756
80. Buyadzhi VV, Zaichko P A, Gurskaya M Y, Kuznetsova AA, Ponomarenko EL, Ternovsky
VB (2017) Relativistic theory of excitation and ionization of Rydberg atomic systems in a
Black-body radiation field. J Phys: Conf Ser 810:012047
81. Maquet A, Chu SI, Reinhardt WP (1983) Stark ionization in dc and ac fields: an L2 complexcoordinate approach. Phys Rev A 27(6):2946–2970
82. Reinhardt WP (1982) Padé summations for the real and imaginary parts of atomic stark
eigenvalues. Int J Quant Chem 21(1):133–146
83. Franceschini V, Grecchi V, Silverstone H (1985) Complex energies from real perturbation
series for the LoSurdo-Stark effect in hydrogen by Borel-Padé approximants. J Phys Rev A
32(3):1338
84. Benassi L, Grecchi V (1980) Resonances in the Stark effect and strongly asymptotic
approximants. J Phys B: At Mol Phys 13(5):911
85. Farrelly D, Reinhardt WP (1983) Uniform semiclassical and accurate quantum calculations
of complex energy eigenvalues for the hydrogen atom in a uniform electric field. J Phys B:
At Mol Phys 16(12):2103
86. Filho O, Fonseca A, Nazareno H et al (1990) Different approach to the Stark effect: application
to the hydrogen ground state. Phys Rev A 42(7):4008–4014
87. Kondratovich VD, Ostrovsky VN (1984) Resonance and interference phenomena in the photoionisation of a hydrogen atom in a uniform electric field. II. Overlapping resonances and
interference. J Phys B: At Mol Phys 17(10):2011
88. Telnov DA (1989) DC Stark effect in a hydrogen atom via Sturmian expansions. J Phys B:
At Mol Opt Phys 22(14):L399–L403
89. Ho Y-K (1983) The method of complex coordinate rotation and its applications to atomic
collision processes. Phys Rep 99(1):1–68
90. Ivanov IA, Ho Y-K (2004) Complex rotation method for the Dirac Hamiltonian. Phys Rev A
69:023407
91. González-Férez R, Schweizer W (2000) In: Hernández-Laguna A, Maruani J, McWeeny R,
Wilson S (eds) Quantum systems in chemistry and physics. Series: Progress in Theoretical
Chemistry and Physics, vol 23. Springer, Berlin, p 17
92. Sahoo S, Ho Y-K (2000) Stark effect on the low-lying excited states of the hydrogen and the
lithium atoms. J Phys B: At Mol Opt Phys 33:5151–5164
93. Sahoo S, Ho Y-K (2000) The complex absorbing potential method (CAP) to study the Stark
effect in hydrogen and lithium. J Phys B: At Mol Opt Phys 33:2195–2206
94. Zimmerman ML, Littman MG, Kash MM et al (1979) Stark structure of the Rydberg states
of alkali-metal atoms. Phys Rev A 20:2251–2275
95. Harmin DA (1982) Theory of the Stark effect. Phys Rev A 26:2656–2681