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An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles
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| Zeitschriftentitel: | International Journal of Quantum Chemistry |
|---|---|
| Personen und Körperschaften: | , |
| In: | International Journal of Quantum Chemistry, 109, 2009, 13, S. 2885-2896 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Wiley
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| Schlagwörter: |
| author_facet |
Huntington, Lee M. J. Nooijen, Marcel Huntington, Lee M. J. Nooijen, Marcel |
|---|---|
| author |
Huntington, Lee M. J. Nooijen, Marcel |
| spellingShingle |
Huntington, Lee M. J. Nooijen, Marcel International Journal of Quantum Chemistry An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles Physical and Theoretical Chemistry Condensed Matter Physics Atomic and Molecular Physics, and Optics |
| author_sort |
huntington, lee m. j. |
| spelling |
Huntington, Lee M. J. Nooijen, Marcel 0020-7608 1097-461X Wiley Physical and Theoretical Chemistry Condensed Matter Physics Atomic and Molecular Physics, and Optics http://dx.doi.org/10.1002/qua.22206 <jats:title>Abstract</jats:title><jats:p>We consider the nonrelativistic treatment of a hydrogenic atom in a four‐dimensional Euclidean space. The focus of this work is on the angular part of the problem, as this is potentially more generally applicable. Using a suitable coordinate system, the su(2)×su(2) structure of the so(4) Lie algebra is exploited. The hyperspherical harmonic solutions of the angular part of the problem are obtained in two ways: as solutions of a partial differential equation and by means of a ladder operator approach. The solutions of the radial equation and energy spectrum are determined and possible implications of the model are briefly discussed. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009</jats:p> An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles International Journal of Quantum Chemistry |
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| title |
An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_unstemmed |
An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_full |
An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_fullStr |
An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_full_unstemmed |
An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_short |
An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_sort |
an so(4) invariant hamiltonian and the two‐body bound state. i: coulomb interaction between two spinless particles |
| topic |
Physical and Theoretical Chemistry Condensed Matter Physics Atomic and Molecular Physics, and Optics |
| url |
http://dx.doi.org/10.1002/qua.22206 |
| publishDate |
2009 |
| physical |
2885-2896 |
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<jats:title>Abstract</jats:title><jats:p>We consider the nonrelativistic treatment of a hydrogenic atom in a four‐dimensional Euclidean space. The focus of this work is on the angular part of the problem, as this is potentially more generally applicable. Using a suitable coordinate system, the su(2)×su(2) structure of the so(4) Lie algebra is exploited. The hyperspherical harmonic solutions of the angular part of the problem are obtained in two ways: as solutions of a partial differential equation and by means of a ladder operator approach. The solutions of the radial equation and energy spectrum are determined and possible implications of the model are briefly discussed. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009</jats:p> |
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| author | Huntington, Lee M. J., Nooijen, Marcel |
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| description | <jats:title>Abstract</jats:title><jats:p>We consider the nonrelativistic treatment of a hydrogenic atom in a four‐dimensional Euclidean space. The focus of this work is on the angular part of the problem, as this is potentially more generally applicable. Using a suitable coordinate system, the su(2)×su(2) structure of the so(4) Lie algebra is exploited. The hyperspherical harmonic solutions of the angular part of the problem are obtained in two ways: as solutions of a partial differential equation and by means of a ladder operator approach. The solutions of the radial equation and energy spectrum are determined and possible implications of the model are briefly discussed. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009</jats:p> |
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| spelling | Huntington, Lee M. J. Nooijen, Marcel 0020-7608 1097-461X Wiley Physical and Theoretical Chemistry Condensed Matter Physics Atomic and Molecular Physics, and Optics http://dx.doi.org/10.1002/qua.22206 <jats:title>Abstract</jats:title><jats:p>We consider the nonrelativistic treatment of a hydrogenic atom in a four‐dimensional Euclidean space. The focus of this work is on the angular part of the problem, as this is potentially more generally applicable. Using a suitable coordinate system, the su(2)×su(2) structure of the so(4) Lie algebra is exploited. The hyperspherical harmonic solutions of the angular part of the problem are obtained in two ways: as solutions of a partial differential equation and by means of a ladder operator approach. The solutions of the radial equation and energy spectrum are determined and possible implications of the model are briefly discussed. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009</jats:p> An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles International Journal of Quantum Chemistry |
| spellingShingle | Huntington, Lee M. J., Nooijen, Marcel, International Journal of Quantum Chemistry, An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles, Physical and Theoretical Chemistry, Condensed Matter Physics, Atomic and Molecular Physics, and Optics |
| title | An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_full | An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_fullStr | An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_full_unstemmed | An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_short | An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| title_sort | an so(4) invariant hamiltonian and the two‐body bound state. i: coulomb interaction between two spinless particles |
| title_unstemmed | An SO(4) invariant Hamiltonian and the two‐body bound state. I: Coulomb interaction between two spinless particles |
| topic | Physical and Theoretical Chemistry, Condensed Matter Physics, Atomic and Molecular Physics, and Optics |
| url | http://dx.doi.org/10.1002/qua.22206 |