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Hamiltonian Systems Inspired by the Schrödinger Equation
Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations of motion and conservation laws are obtained. Special ca...
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Інститут математики НАН України
2008
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/149037 |
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irk-123456789-1490372019-02-20T01:28:50Z Hamiltonian Systems Inspired by the Schrödinger Equation Kovalchuk, V. Slawianowski, J.J. Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations of motion and conservation laws are obtained. Special cases for the free evolution of the wave function with fixed G and the pure dynamics of G are calculated. The usual, first- and second-order modified Schrödinger equations are obtained. 2008 Article Hamiltonian Systems Inspired by the Schrödinger Equation / V. Kovalchuk, J.J. Slawianowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 16 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81P05; 81R05; 81Q99; 37J05; 15A04; 15A63; 15A90; 20G20 http://dspace.nbuv.gov.ua/handle/123456789/149037 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| description |
Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations of motion and conservation laws are obtained. Special cases for the free evolution of the wave function with fixed G and the pure dynamics of G are calculated. The usual, first- and second-order modified Schrödinger equations are obtained. |
| format |
Article |
| author |
Kovalchuk, V. Slawianowski, J.J. |
| spellingShingle |
Kovalchuk, V. Slawianowski, J.J. Hamiltonian Systems Inspired by the Schrödinger Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kovalchuk, V. Slawianowski, J.J. |
| author_sort |
Kovalchuk, V. |
| title |
Hamiltonian Systems Inspired by the Schrödinger Equation |
| title_short |
Hamiltonian Systems Inspired by the Schrödinger Equation |
| title_full |
Hamiltonian Systems Inspired by the Schrödinger Equation |
| title_fullStr |
Hamiltonian Systems Inspired by the Schrödinger Equation |
| title_full_unstemmed |
Hamiltonian Systems Inspired by the Schrödinger Equation |
| title_sort |
hamiltonian systems inspired by the schrödinger equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149037 |
| citation_txt |
Hamiltonian Systems Inspired by the Schrödinger Equation / V. Kovalchuk, J.J. Slawianowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 16 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kovalchukv hamiltoniansystemsinspiredbytheschrodingerequation AT slawianowskijj hamiltoniansystemsinspiredbytheschrodingerequation |
| first_indexed |
2023-05-20T17:32:03Z |
| last_indexed |
2023-05-20T17:32:03Z |
| _version_ |
1796153501868359680 |