- PII
- 10.31857/S004445102411004X-1
- DOI
- 10.31857/S004445102411004X
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 166 / Issue number 5
- Pages
- 612-617
- Abstract
- 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).
- Keywords
- Date of publication
- 16.09.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 66
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