Solving Faddeev-Merkuriev equations within the J-matrix approach: Application to coulomb problems
A version of the J-matrix method for solving three-body differential Faddeev-Merkuriev equations is proposed. This version permits taking into account the full spectrum of a two-body Coulomb subsystem. Laguerre functions are used as a basis in expanding the total wave function of the problem being c...
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| Veröffentlicht in: | Physics of atomic nuclei 2006-02, Vol.69 (2), p.255-262 |
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| container_title | Physics of atomic nuclei |
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| creator | Zaitsev, S. A. Knyr, V. A. Popov, Yu. V. |
| description | A version of the J-matrix method for solving three-body differential Faddeev-Merkuriev equations is proposed. This version permits taking into account the full spectrum of a two-body Coulomb subsystem. Laguerre functions are used as a basis in expanding the total wave function of the problem being considered. In order to test the efficiency of the proposed method, the differential cross section for single ionization of a helium atom is calculated where the emerging He{sup +} ion remains in an excited state. The result agrees satisfactorily with experimental data both in the shape of the respective curve and in magnitude. |
| doi_str_mv | 10.1134/S1063778806020098 |
| format | Article |
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The result agrees satisfactorily with experimental data both in the shape of the respective curve and in magnitude.</description><subject>ATOMIC AND MOLECULAR PHYSICS</subject><subject>ATOMS</subject><subject>DIFFERENTIAL CROSS SECTIONS</subject><subject>DIFFERENTIAL EQUATIONS</subject><subject>EFFICIENCY</subject><subject>EQUATIONS</subject><subject>EXCITED STATES</subject><subject>FADDEEV EQUATIONS</subject><subject>HELIUM</subject><subject>HELIUM IONS</subject><subject>IONIZATION</subject><subject>LICENSES</subject><subject>MATHEMATICAL SOLUTIONS</subject><subject>MATRICES</subject><subject>SPECTRA</subject><subject>THREE-BODY PROBLEM</subject><subject>TWO-BODY PROBLEM</subject><subject>WAVE FUNCTIONS</subject><issn>1063-7788</issn><issn>1562-692X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNplkMtOwzAQRS0EEqXwAewssQ6M4zRO2FUVTxWxKEjsImdsE0MSB9st8PeklB2rO9I5GuleQk4ZnDPGs4sVg5wLURSQQwpQFntkwmZ5muRl-rI_3iNOtvyQHIXwBsBYMYMJkSvXbmz_Sq-lUlpvkgft39fe6g3VH2sZresD_bSxsT2Njab3SSejt19UDoN3EptLOh-G1uKvSqOj6Nat62o64rrVXTgmB0a2QZ_85ZQ8X189LW6T5ePN3WK-TDAVPCYCDYBQRitlZGGyWvK0lJgLg0ahyArQUBomZsyoOlUZMuQARnMQheYIfErOdn9diLYKaKPGBl3fa4xVykDkY-XRYjsLvQvBa1MN3nbSf1cMqu2S1b8l-Q8_qmhk</recordid><startdate>20060201</startdate><enddate>20060201</enddate><creator>Zaitsev, S. 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Laguerre functions are used as a basis in expanding the total wave function of the problem being considered. In order to test the efficiency of the proposed method, the differential cross section for single ionization of a helium atom is calculated where the emerging He{sup +} ion remains in an excited state. The result agrees satisfactorily with experimental data both in the shape of the respective curve and in magnitude.</abstract><cop>United States</cop><doi>10.1134/S1063778806020098</doi><tpages>8</tpages></addata></record> |
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| ispartof | Physics of atomic nuclei, 2006-02, Vol.69 (2), p.255-262 |
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| subjects | ATOMIC AND MOLECULAR PHYSICS ATOMS DIFFERENTIAL CROSS SECTIONS DIFFERENTIAL EQUATIONS EFFICIENCY EQUATIONS EXCITED STATES FADDEEV EQUATIONS HELIUM HELIUM IONS IONIZATION LICENSES MATHEMATICAL SOLUTIONS MATRICES SPECTRA THREE-BODY PROBLEM TWO-BODY PROBLEM WAVE FUNCTIONS |
| title | Solving Faddeev-Merkuriev equations within the J-matrix approach: Application to coulomb problems |
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