Helium atom in an external electric field: Exact diagonalization
An exact diagonalization method is applied to solve the quantum-mechanical problem of spinless helium atom in an external electric field of arbitrary magnitude. The basis set for two-electron problem is built from different pair combinations ψnalama(αra)ψnblbmb(αrb) of orthonormalized single-particl...
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| Datum: | 2014 |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2014
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| Zitieren: | Helium atom in an external electric field: Exact diagonalization / T.N. Antsygina, K.A. Chishko // Физика низких температур. — 2014. — Т. 40, № 9. — С. 1035-1044. — Бібліогр.: 50 назв. — англ. |
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Antsygina, T.N. Chishko, K.A. 2017-06-07T18:59:00Z 2017-06-07T18:59:00Z 2014 Helium atom in an external electric field: Exact diagonalization / T.N. Antsygina, K.A. Chishko // Физика низких температур. — 2014. — Т. 40, № 9. — С. 1035-1044. — Бібліогр.: 50 назв. — англ. 0132-6414 PACS 31.15.ac https://nasplib.isofts.kiev.ua/handle/123456789/119653 An exact diagonalization method is applied to solve the quantum-mechanical problem of spinless helium atom in an external electric field of arbitrary magnitude. The basis set for two-electron problem is built from different pair combinations ψnalama(αra)ψnblbmb(αrb) of orthonormalized single-particle hydrogen-like wave functions ψnml(r) belonging to any possibly bound states of the individual a- and b-electrons in the Coulomb central field renormalized by the scale parameter α > 0. Within the selected basis the matrix elements of the total Hamiltonian allows an exact analytical representation in the form of finite numerical sums. The diagonalization procedure is performed by Jacobi algorithm for N×N square Hermitian matrix built on the basis of dimension N = 25. The systematics and the numerical values of the low-lying energy levels at zero field are in good agreement with known experimental data. The field dependences of low-lying levels (Stark effect) and polarizability in the ground state of helium atom are presented. It is shown that even extremely high external fields lead only to shifting or splitting of existing low levels, without disturbance of their systematics. Typically, no new lowenergy excitation can be created under external electric field of moderate intensity. Radical reconstruction in spectrum of individual helium atoms can be expected in condensed helium phases where each atom is deeply affected by interaction fields from neighbors. This result should be taken into account at interpretation of electrodynamic experiments on superfluid helium. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Квантовые жидкости и квантовые кpисталлы Helium atom in an external electric field: Exact diagonalization Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Helium atom in an external electric field: Exact diagonalization |
| spellingShingle |
Helium atom in an external electric field: Exact diagonalization Antsygina, T.N. Chishko, K.A. Квантовые жидкости и квантовые кpисталлы |
| title_short |
Helium atom in an external electric field: Exact diagonalization |
| title_full |
Helium atom in an external electric field: Exact diagonalization |
| title_fullStr |
Helium atom in an external electric field: Exact diagonalization |
| title_full_unstemmed |
Helium atom in an external electric field: Exact diagonalization |
| title_sort |
helium atom in an external electric field: exact diagonalization |
| author |
Antsygina, T.N. Chishko, K.A. |
| author_facet |
Antsygina, T.N. Chishko, K.A. |
| topic |
Квантовые жидкости и квантовые кpисталлы |
| topic_facet |
Квантовые жидкости и квантовые кpисталлы |
| publishDate |
2014 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
An exact diagonalization method is applied to solve the quantum-mechanical problem of spinless helium atom in an external electric field of arbitrary magnitude. The basis set for two-electron problem is built from different pair combinations ψnalama(αra)ψnblbmb(αrb) of orthonormalized single-particle hydrogen-like wave functions ψnml(r) belonging to any possibly bound states of the individual a- and b-electrons in the Coulomb central field renormalized by the scale parameter α > 0. Within the selected basis the matrix elements of the total Hamiltonian allows an exact analytical representation in the form of finite numerical sums. The diagonalization procedure is performed by Jacobi algorithm for N×N square Hermitian matrix built on the basis of dimension N = 25. The systematics and the numerical values of the low-lying energy levels at zero field are in good agreement with known experimental data. The field dependences of low-lying levels (Stark effect) and polarizability in the ground state of helium atom are presented. It is shown that even extremely high external fields lead only to shifting or splitting of existing low levels, without disturbance of their systematics. Typically, no new lowenergy excitation can be created under external electric field of moderate intensity. Radical reconstruction in spectrum of individual helium atoms can be expected in condensed helium phases where each atom is deeply affected by interaction fields from neighbors. This result should be taken into account at interpretation of electrodynamic experiments on superfluid helium.
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| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/119653 |
| citation_txt |
Helium atom in an external electric field: Exact diagonalization / T.N. Antsygina, K.A. Chishko // Физика низких температур. — 2014. — Т. 40, № 9. — С. 1035-1044. — Бібліогр.: 50 назв. — англ. |
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AT antsyginatn heliumatominanexternalelectricfieldexactdiagonalization AT chishkoka heliumatominanexternalelectricfieldexactdiagonalization |
| first_indexed |
2025-12-07T20:20:14Z |
| last_indexed |
2025-12-07T20:20:14Z |
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1850882197371748352 |