Physics – Quantum Physics
Scientific paper
2001-02-05
Doklady Akademii Nauk Belarusi 45(4), 49 (2001)
Physics
Quantum Physics
6 pages, 1 figures, RevTeX
Scientific paper
The eigenvalue problem for one-dimensional Schr\"{o}dinger equation with the rational potential is numerically solved by the operator method. We show that the operator method, applied for solving the Schr\"{o}dinger equation with the nonpolynomial structure of the Hamiltonian, becomes more efficient if a nonunitary transformation of the Hamiltonian is used. We demonstrate on numerous examples that this method can handle both perturbative and nonperturbative regimes with very high accuracy and moderate computational cost.
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