Numerical solving of the 2D-eigenvalue problem in a self-consistent basis

S. I. Vinitsky; D. N. Pak; V. A. Rostovtsev; N. A. Chekanov; Yu. A. Ukolov

doi:10.1117/12.636967

9 June 2005 Numerical solving of the 2D-eigenvalue problem in a self-consistent basis

S. I. Vinitsky, D. N. Pak, V. A. Rostovtsev, N. A. Chekanov, Yu. A. Ukolov

Proceedings Volume 5773, Saratov Fall Meeting 2004: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling V; (2005) https://doi.org/10.1117/12.636967
Event: Saratov, Russia, 2004, Saratov, Russian Federation

Abstract

An economy method of numerical solving the partial isospectral 2D boundary problem in self-consistent basis is elaborated. An efficiency of the method is shown for an integrable system described by a generalized Henon-Heiles Hamiltonian depended on two real-values parameters.

Citation Download Citation

S. I. Vinitsky, D. N. Pak, V. A. Rostovtsev, N. A. Chekanov, and Yu. A. Ukolov "Numerical solving of the 2D-eigenvalue problem in a self-consistent basis", Proc. SPIE 5773, Saratov Fall Meeting 2004: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling V, (9 June 2005); https://doi.org/10.1117/12.636967

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