The theory of a many boson system with the deformed Heisenberg algebra
We propose to consider nonlinear fluctuations in the theory of liquid ⁴He deforming the commutation relations between the generalized coordinates and momenta. The generalized coordinates are the coefficients of the density fluctuations of the Bose particles. The deformation parameter takes into acco...
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| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2015
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153552 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The theory of a many boson system with the deformed Heisenberg algebra / I.O. Vakarchuk, G.I. Panochko // Condensed Matter Physics. — 2015. — Т. 18, № 3. — С. 33002: 1–14. — Бібліогр.: 48 назв. — англ. |
Репозитарії
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irk-123456789-1535522019-06-15T01:27:32Z The theory of a many boson system with the deformed Heisenberg algebra Vakarchuk, I.O. Panochko, G.I. We propose to consider nonlinear fluctuations in the theory of liquid ⁴He deforming the commutation relations between the generalized coordinates and momenta. The generalized coordinates are the coefficients of the density fluctuations of the Bose particles. The deformation parameter takes into account effects of three- and four-particle correlations in the behavior of the system. This parameter is defined from the experimental values of the elementary excitation spectrum and the structure factor extrapolated to T=0 K. The numerical estimation of the ground state energy and the Bose condensate fraction is made. The elementary exitation spectrum and the potential of interaction between the helium atoms are recovered. Запропоновано врахувати нелiнiйнi флуктуацiї в теорiї рiдкого ⁴He, деформуючи комутацiйнi спiввiдношення мiж узагальненими координатами та iмпульсами. В якостi узагальнених координат обрано коефiцiєнти флуктуацiї густини бозе-частинок. Параметр деформацiї, що враховує вплив три- та чотиричастинкових кореляцiй на поведiнку бозе-систем, обрано виходячи з експериментальних значень для спектра елементарних збуджень та екстрапольованих експериментальних даних структурного фактора до температури T = 0 K. З модельним параметром деформацiї проведено чисельну оцiнку енергiї основного стану та кiлькостi Бозе-конденсату, вiдтворено спектр елементарних збуджень та потенцiал взаємодiї мiж атомами ⁴He. 2015 Article The theory of a many boson system with the deformed Heisenberg algebra / I.O. Vakarchuk, G.I. Panochko // Condensed Matter Physics. — 2015. — Т. 18, № 3. — С. 33002: 1–14. — Бібліогр.: 48 назв. — англ. 1607-324X arXiv:1503.04746 DOI:10.5488/CMP.18.33002 PACS: 05.30.Jp, 02.40.Gh, 67.25.-k, 67.25.dt, 03.65.-w http://dspace.nbuv.gov.ua/handle/123456789/153552 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We propose to consider nonlinear fluctuations in the theory of liquid ⁴He deforming the commutation relations between the generalized coordinates and momenta. The generalized coordinates are the coefficients of the density fluctuations of the Bose particles. The deformation parameter takes into account effects of three- and four-particle correlations in the behavior of the system. This parameter is defined from the experimental values of the elementary excitation spectrum and the structure factor extrapolated to T=0 K. The numerical estimation of the ground state energy and the Bose condensate fraction is made. The elementary exitation spectrum and the potential of interaction between the helium atoms are recovered. |
| format |
Article |
| author |
Vakarchuk, I.O. Panochko, G.I. |
| spellingShingle |
Vakarchuk, I.O. Panochko, G.I. The theory of a many boson system with the deformed Heisenberg algebra Condensed Matter Physics |
| author_facet |
Vakarchuk, I.O. Panochko, G.I. |
| author_sort |
Vakarchuk, I.O. |
| title |
The theory of a many boson system with the deformed Heisenberg algebra |
| title_short |
The theory of a many boson system with the deformed Heisenberg algebra |
| title_full |
The theory of a many boson system with the deformed Heisenberg algebra |
| title_fullStr |
The theory of a many boson system with the deformed Heisenberg algebra |
| title_full_unstemmed |
The theory of a many boson system with the deformed Heisenberg algebra |
| title_sort |
theory of a many boson system with the deformed heisenberg algebra |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153552 |
| citation_txt |
The theory of a many boson system with the deformed Heisenberg algebra / I.O. Vakarchuk, G.I. Panochko // Condensed Matter Physics. — 2015. — Т. 18, № 3. — С. 33002: 1–14. — Бібліогр.: 48 назв. — англ. |
| series |
Condensed Matter Physics |
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