电邮这篇文章 SEARCH FOR BOUND STATES IN A ONE-DIMENSIONAL QUANTUM SYSTEM USING THE POWER METHOD: PRACTICAL IMPLEMENTATION
- 作者: Vrublevskaya N.R.1,2, Shipilo D.E.1,2, Ilyushin P.Y.1,2, Nikolaeva I.A1,2, Kosareva O.G.1,2, Panov N.A1,2
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隶属关系:
- Faculty of Physics, Lomonosov Moscow State University
- Lebedev Physical Institute of the Russian Academy of Sciences
- 期: 卷 166, 编号 5 (2024)
- 页面: 612-617
- 栏目: ATOMS, MOLECULES, OPTICS
- URL: https://journals.rcsi.science/0044-4510/article/view/268670
- DOI: https://doi.org/10.31857/S004445102411004X
- ID: 268670
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详细
For numerical solution of the time-dependent Schrödinger equation describing the electron evolution in a given potential interacting with the high-intensity ultrashort pulse field, one has to find bound states of this potential with high accuracy. The paper considers the application of power algorithm using Chebyshev operator polynomials to search for bound states of one-dimensional quasi-Coulomb potential. The algorithm convergence improves with increasing polynomial degree m, saturating at m ≥ 8. For such degree, the ground state is found in ~103 Hamiltonian calculation operations, while higher states require ~105 operations (several seconds and several minutes respectively).
作者简介
N. Vrublevskaya
Faculty of Physics, Lomonosov Moscow State University; Lebedev Physical Institute of the Russian Academy of Sciences
Email: schipilo.daniil@physics.msu.ru
俄罗斯联邦, 119991, Moscow; 119991, Moscow
D. Shipilo
Faculty of Physics, Lomonosov Moscow State University; Lebedev Physical Institute of the Russian Academy of Sciences
Email: schipilo.daniil@physics.msu.ru
俄罗斯联邦, 119991, Moscow; 119991, Moscow
P. Ilyushin
Faculty of Physics, Lomonosov Moscow State University; Lebedev Physical Institute of the Russian Academy of Sciences
Email: schipilo.daniil@physics.msu.ru
俄罗斯联邦, 119991, Moscow; 119991, Moscow
I. Nikolaeva
Faculty of Physics, Lomonosov Moscow State University; Lebedev Physical Institute of the Russian Academy of Sciences
Email: schipilo.daniil@physics.msu.ru
俄罗斯联邦, 119991, Moscow; 119991, Moscow
O. Kosareva
Faculty of Physics, Lomonosov Moscow State University; Lebedev Physical Institute of the Russian Academy of Sciences
Email: schipilo.daniil@physics.msu.ru
俄罗斯联邦, 119991, Moscow; 119991, Moscow
N. Panov
Faculty of Physics, Lomonosov Moscow State University; Lebedev Physical Institute of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: schipilo.daniil@physics.msu.ru
俄罗斯联邦, 119991, Moscow; 119991, Moscow
参考
- C. Eckart, Phys.Rev. 35, 1303 (1930).
- J. Javanainen, J.H. Eberly, and Q. Su, Phys. Rev.A 38, 3430 (1988).
- Е.А. Волкова, А.М. Попов, ЖЭТФ 106, 735 (1994).
- A.Popov, O.Tikhonova, and E.Volkova, J.Phys.B 32, 3331 (1999).
- M. Kolesik, J.M. Brown, A. Teleki, P. Jakobsen, J.V. Moloney, and E.M. Wright, Optica 1, 323 (2014).
- A. Bogatskaya, E. Volkova, and A. Popov, Europhys. Lett. 116, 14003 (2016).
- J. Cooley, Math.Comp. 15, 363 (1961).
- J. F. Van der Maelen Ur´ıa, S. Garc´ıa-Granda, and A. Men´endez-Vel´azquez, Amer. J.Phys. 64, 3 (1996).
- R. Kosloff and H. Tal-Ezer, Chem.Phys. Lett. 127, 223 (1986).
- M. Feit, J. Fleck, Jr., and A. Steiger, J.Comput.Phys. 47, 412 (1982).
- Р.П. Федоренко. Введение в вычислительную физику: Учебное пособие для вузов, под ред. А.И. Лобанова, Издательский дом «Интеллект», Долгопрудный (2008).
- X. Antoine, A. Arnold, C. Besse, M. Ehrhardt, and A. Sch¨adle, Commun.Comput.Phys. 4, 729 (2008).
- X. Antoine, C. Besse, M. Ehrhardt, and P. Klein, Modeling Boundary Conditions for Solving Stationary Schr¨odinger Equations, Preprint 10/04 of the Chairs of Applied Mathematics & Numerical Analysis and Optimization and Approximation, University of Wuppertal, February (2010).
- M. Nurhuda and A. Rouf, Phys.Rev.E 96, 033302 (2017).
- Л.Д. Ландау, Е.М. Лифшиц, Квантовая механика: Нерелятивистская теория, Наука, Москва (1989).
- Н. Врублевская, Д.Шипило, И. Николаева, H. Панов, O. Косарева, Письма в ЖЭТФ 117, 400 (2023).
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