Диссертация (Единый аналитический и вычислительный подход к решению квантовой задачи трёх тел), страница 33

Mod. Phys. 1963. — Jul. Vol. 35. P. 421–430.2. Pekeris C. L. Ground State of Two-Electron Atoms // Phys. Rev. 1958. — Dec.Vol. 112. P. 1649–1658.3. Бете Г., Солпитер Э. Квантовая механика атомов с одним и двумяэлектронами. М.: Государственное издательство физико-математическойлитературы, 1960. 562 p.4. Виницкий С. И., Пономарев Л. И. Адиабатическое представление в за­даче трех тел с кулоновским взаимодействием // ЭЧАЯ. 1982. Т. 13.С. 1336–1418.5. Korobov V.

I. Variational calculation of energy levels in He+ molecular sys­tems // Phys. Rev. A. 1996. — Sep. Vol. 54. P. R1749–R1752.6. Korobov V. I. Metastable states in the antiprotonic helium atom decaying viaAuger transitions // Phys. Rev. A. 2003. — Jun. Vol. 67. P. 062501.7. Hislop P. D., Sigal I. M. Introduction to Spectral Theory. Springer New York,1996.

338 p.8. Мотовилов А. К. Теория резонансов в многоканальных системах. Дисс. насоиск. уч. ст. д.ф.–м.н. Дубна: ОИЯИ, 2006.9. Kukulin V. I., Krasnopol’sky V. M., Horáĉek J. Theory of Resonances. SpringerNetherlands, 1989. 355 p.10. Aguilar J., Combes J. M. A class of analytic perturbations for one-bodySchrödinger Hamiltonians // Communications in Mathematical Physics. 1971.Vol. 22, no. 4. P. 269–279.11. Balslev E., Combes J.

M. Spectral properties of many-body Schrödinger opera­tors with dilatation-analytic interactions // Communications in MathematicalPhysics. 1971. Vol. 22, no. 4. P. 280–294.12. Simon B. Resonances in n-Body Quantum Systems With Dilatation Analytic215Potentials and the Foundations of Time-Dependent Perturbation Theory //Annals of Mathematics. 1973.

Vol. 97, no. 2. P. 247–274.13. Moiseyev N. Quantum theory of resonances: calculating energies, widths andcross-sections by complex scaling // Physics Reports. 1998. Vol. 302, no. 5-6.P. 212–293.14. Фаддеев Л. Д. Теория рассеяния для системы трёх частиц // Журналэкспериментальной и теоретической физики. 1960. Т.

39. С. 1459–1467.15. Фаддеев Л. Д. Математические вопросы квантовой теории рассеяния длясистемы трёх частиц // Труды математического института им. В.А. Стек­лова. 1963. Т. 69. С. 1–122.16. Меркурьев С. П., Фаддеев Л. Д. Квантовая теория рассеяния для системнескольких частиц. М.: Наука, 1985. 400 с.17. Петеркоп Р. К. Теория ионизации атомов электронным ударом. Рига: Зи­натне, 1975. 190 с.18. Merkuriev S., Gignoux C., Laverne A. Three-body scattering in configurationspace // Annals of Physics. 1976.

Vol. 99, no. 1. P. 30–71.19. Меркурьев С. П. О теории рассеяния для системы трёх частиц с кулонов­ским взаимодействием // Ядерная физика. 1976. Т. 24. С. 289.20. Merkuriev S. On the three-body Coulomb scattering problem // Annals ofPhysics. 1980. Vol. 130, no. 2. P. 395–426.21. Descouvemont P., Baye D. The R-matrix theory // Reports on Progress inPhysics. 2010. Vol. 73, no. 3. P. 036301.22. Bray I., Stelbovics A. T. Convergent close-coupling calculations of electron-hy­drogen scattering // Phys. Rev.

A. 1992. — Dec. Vol. 46. P. 6995–7011.23. Bray I., Fursa D. V., Kheifets A. S., Stelbovics A. T. Electrons and photonscolliding with atoms: development and application of the convergent close-cou­pling method // Journal of Physics B: Atomic, Molecular and Optical Physics.2002. Vol. 35, no. 15. P. R117.24. Nuttall J., Cohen H. L.

Method of Complex Coordinates for Three-Body Cal­216culations above the Breakup Threshold // Phys. Rev. 1969. — Dec. Vol. 188.P. 1542–1544.25. Rescigno T. N., Baertschy M., Byrum D., McCurdy C. W. Making complexscaling work for long-range potentials // Phys.

Rev. A. 1997. — Jun. Vol. 55.P. 4253–4262.26. Rescigno T. N., Baertschy M., Isaacs W. A., McCurdy C. W. CollisionalBreakup in a Quantum System of Three Charged Particles // Science. 1999.Vol. 286, no. 5449. P. 2474–2479.27. Lazauskas R., Carbonell J. Application of the complex-scaling method to few­body scattering // Phys. Rev. C. 2011.

— Sep. Vol. 84. P. 034002.28. Yarevsky E., Elander N. A finite-element approach to transition wavelengthsin antiprotonic helium // EPL (Europhysics Letters). 1997. Vol. 37, no. 7.P. 453–458.29. Elander N., Yarevsky E. Finite-element calculations of the antiprotonic heliumatom including relativistic and QED corrections // Phys. Rev.

A. 1997. — Sep.Vol. 56. P. 1855–1864.30. Elander N., Yarevsky E. Erratum: Finite-element calculations of the antipro­tonic helium atom including relativistic and QED corrections [Phys. Rev. A56,1855 (1997)] // Phys. Rev. A. 1998. — Mar.

Vol. 57. P. 2256–2256.31. Andersson S., Elander N., Yarevsky E. A study of isotope effects in the antipro­tonic helium system // Journal of Physics B: Atomic, Molecular and OpticalPhysics. 1998. Vol. 31, no. 3. P. 625–632.32. Elander N., Yarevsky E. Exterior complex scaling method applied to doublyexcited states of helium // Phys.

Rev. A. 1998. — Apr. Vol. 57. P. 3119–3122.33. Elander N., Levin S., Yarevsky E. Low non-zero total angular momentum res­onant levels in the NeICl van der Waals complex // Nuclear Physics A. 2001.Vol. 684, no. 1–4. P. 678–680. Few-Body Problems in Physics.34.

Elander N., Levin S., Yarevsky E. Dependence of the NeICl van der Waalscomplex resonance width on the total angular momentum // Nuclear Physics217A. 2001. Vol. 689, no. 1–2. P. 541–544. European Few-Body Problems inPhysics.35. Elander N., Levin S., Yarevsky E. Full-angular-momentum, three-dimensional,smooth-exterior complex dilated, finite-element method for computing reso­nances in triatomic molecules: Application to a model of the NeICl van derWaals complex // Phys. Rev. A. 2001.

— Jun. Vol. 64. P. 012505.36. Antoniou I., Melnikov Y., Yarevsky E. The connection between the riggedHilbert space and the complex scaling approaches for resonances. TheFriedrichs model // Chaos, Solitons & Fractals. 2001. Vol. 12, no. 14–15.P. 2683–2688. Irreversibility, Probability and Complexity.37. Alferova T., Andersson S., Elander N. et al. Finite element three-body studiesof bound and resonant states in atoms and molecules. Academic Press, 2001.Vol. 40 of Advances in Quantum Chemistry. P. 323–344.38. Alferova T., Andersson S., Elander N.

et al. Resonances in Three-Body Sys­tems Studied by a Full Angular-Momentum, Smooth-Exterior Complex-ScalingFinite-Element Method // Few-Body Systems. Vol. 31, no. 2. P. 177–182.39. Elander N., Levin S., Yarevsky E. Smooth exterior complex-scaling, full-angu­lar-momentum, and three-dimensional finite-element method applied to doublyexcited states of helium // Phys. Rev. A. 2003. — Jun. Vol. 67. P. 062508.40. Elander N., Shilyaeva K., Ostrovsky N. V.

et al. Tools for Assigning ResonanceStructures in Collisions of Few-Body Quantum Systems // Few-Body Systems.2006. Vol. 38, no. 2. P. 109–114.41. Salci M., Yarevsky E., Levin S. B., Elander N. Finite element investigation ofthe ground states of the helium trimers 4He3 and 4He2-3He // InternationalJournal of Quantum Chemistry. 2007.

Vol. 107, no. 2. P. 464–468.42. Shilyaeva K., Elander N., Yarevsky E. Role of resonances in building cross sec­tions: Comparison between the Mittag–Leffler and the T-matrix Green functionexpansion approaches // International Journal of Quantum Chemistry. 2007.Vol. 107, no. 6. P. 1301–1315.21843. Elander N., Shilyeava K., Volkov M. et al. The resonance wave function – is itrelevant? // AIP Conference Proceedings.

2008. Vol. 998, no. 1. P. 43–58.44. Salci M., Levin S. B., Elander N., Yarevsky E. A theoretical study of therovibrational levels of the bosonic van der Waals neon trimer // The Journalof Chemical Physics. 2008. Vol. 129, no. 13. P. 134304.45. Volkov M. V., Elander N., Yarevsky E., Yakovlev S. L. Solving the Coulombscattering problem using the complex-scaling method // EPL (EurophysicsLetters). 2009. Vol.

85, no. 3. P. 30001.46. Elander N., Levin S. B., Yarevsky E. Convergence and quantum number assign­ment studies of rovibrational eigenstates in a model of predissociating NeIClvan der Waals complex // International Journal of Quantum Chemistry. 2009.Vol. 109, no. 3. P. 459–468.47. Shilyaeva K., Yarevsky E., Elander N. Identifying resonance structures in ascattering cross section using the 3+ + → 3+ → 2+ + + reaction asan example // Journal of Physics B: Atomic, Molecular and Optical Physics.2009. Vol.

42, no. 4. P. 044011.48. Shilyaeva K., Elander N., Yarevsky E. The role of resonances in building crosssections: The Mittag-Leffler expansion in a two-channel scattering // Interna­tional Journal of Quantum Chemistry. 2009. Vol. 109, no. 3. P. 414–424.49. Elander N., Volkov M., Larson Å. et al. Quantum Scattering with the Driv­en Schrödinger Approach and Complex Scaling // Few-Body Systems. 2009.Vol. 45, no. 2.

P. 197–201.50. Волков М. В., Эландер Н., Яковлев С. Л., Яревский Е. А. Задача рассеяниязаряженных частиц и метод комплексного вращения координат // Вестн.С.-Петерб. ун-та. Сер. 4. 2009. Т. 4. С. 275–284.51. Gagin A., Yarevsky E., Salci M., Elander N. Eigen Energies and the StatisticalDistributions of the Rovibrational Levels of the Bosonic van der Waals ArgonTrimer // The Journal of Physical Chemistry A. 2009. Vol.

113, no. 52.P. 14979–14986. PMID: 19883054.21952. Пузырев Д. А., Яревский Е. А. Использование CUDA BLAS в решенииквантовой задачи трёх частиц методом конечных элементов высоких по­рядков // Вестн. С.-Петерб. ун-та. Сер. 4. 2010. Т. 2. С. 123–126.53. Гагин А. В., Яревский Е. А. Численное моделирование спектра и струк­турных свойств ван-дер-ваальсова тримера аргона с помощью трёхмерно­го метода конечных элементов // Вестн. С.-Петерб.