Enviar artigo por via de e-mail SEARCH FOR BOUND STATES IN A ONE-DIMENSIONAL QUANTUM SYSTEM USING THE POWER METHOD: PRACTICAL IMPLEMENTATION
- Autores: 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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Afiliações:
- Faculty of Physics, Lomonosov Moscow State University
- Lebedev Physical Institute of the Russian Academy of Sciences
- Edição: Volume 166, Nº 5 (2024)
- Páginas: 612-617
- Seção: 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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Resumo
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).
Sobre autores
N. Vrublevskaya
Faculty of Physics, Lomonosov Moscow State University; Lebedev Physical Institute of the Russian Academy of Sciences
Email: schipilo.daniil@physics.msu.ru
Rússia, 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
Rússia, 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
Rússia, 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
Rússia, 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
Rússia, 119991, Moscow; 119991, Moscow
N. Panov
Faculty of Physics, Lomonosov Moscow State University; Lebedev Physical Institute of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: schipilo.daniil@physics.msu.ru
Rússia, 119991, Moscow; 119991, Moscow
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