Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations
We establish that the averages per volume of the BCS and approximating Hamiltonians over all excited states coincide in the thermodynamic limit. Earlier, this was established only for the ground state.
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| Date: | 2001 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4328 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510459375910912 |
|---|---|
| author | Petrina, D. Ya. Петрина, Д. Я. |
| author_facet | Petrina, D. Ya. Петрина, Д. Я. |
| author_sort | Petrina, D. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:26:41Z |
| description | We establish that the averages per volume of the BCS and approximating Hamiltonians over all excited states coincide in the thermodynamic limit. Earlier, this was established only for the ground state. |
| first_indexed | 2026-03-24T02:57:20Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4328 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:57:20Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ca/684706125a4885f11da944c88c573eca.pdf |
| spelling | umjimathkievua-article-43282020-03-18T20:26:41Z Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations Спектр та стани гамільтошана БКШ в скінченній області. II. Спектри збуджень Petrina, D. Ya. Петрина, Д. Я. We establish that the averages per volume of the BCS and approximating Hamiltonians over all excited states coincide in the thermodynamic limit. Earlier, this was established only for the ground state. Встановлено, що у термодинамічній границі середні по усіх збуджених станах на одиницю об'єму від модельного гамільтоніанаБКШта відповідного апроксимуючого гамільтоніана збігаються. Раніше це було встановлено тільки для основного стану. Institute of Mathematics, NAS of Ukraine 2001-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4328 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 8 (2001); 1080-1100 Український математичний журнал; Том 53 № 8 (2001); 1080-1100 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/4328/5360 https://umj.imath.kiev.ua/index.php/umj/article/view/4328/5361 Copyright (c) 2001 Petrina D. Ya. |
| spellingShingle | Petrina, D. Ya. Петрина, Д. Я. Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations |
| title | Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations |
| title_alt | Спектр та стани гамільтошана БКШ в скінченній області. II. Спектри збуджень |
| title_full | Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations |
| title_fullStr | Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations |
| title_full_unstemmed | Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations |
| title_short | Spectrum and States of the BCS Hamiltonian in a Finite Domain. II. Spectra of Excitations |
| title_sort | spectrum and states of the bcs hamiltonian in a finite domain. ii. spectra of excitations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4328 |
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