雑誌ブラウズ
雑誌 全て
大阪大学 刊行物
ランキング
アクセスランキング
ダウンロードランキング
博士論文のみをさがす
リポジトリ登録支援システム
附属図書館
このアイテムのアクセス数:
161
件
(
2022-08-12
04:52 集計
)
このアイテムへのリンクには次のURLをご利用ください:http://hdl.handle.net/11094/27278
閲覧可能ファイル
ファイル
フォーマット
サイズ
閲覧回数
説明
PTP66_3_831
pdf
863 KB
190
論文情報
タイトル
One-Dimensional Many Boson System. IV : Condensation and Excitation Energy
著者
Kebukawa, Takeji
Kebukawa, Takeji
Sasaki, Shosuke
Sasaki, Shosuke
抄録
The analysis for a one-dimensional many boson system with a repulsive delta-function potential is continued. It is shown that the expectation value of the number a_0*a_0 of bare bosons with zero momentum for the exact ground state ∣Ψ_<0,0,…,0>> is negligibly small compared with the total number n in the limit of an infinitely large coupling constant g; i.e., ≪Ψ_<0,…,0>∣a_0*a_0∣Ψ_<0,…,0>>/n→0(for n→∞, g→∞). This result shows a striking contrast to the result ≪Ψ_<0,…,0>∣A_0*A_0∣Ψ_<0,…,0>>/n=1 for an arbitrary g, where A_0*A_0 indicates the number operator of exactly dressed bosons with zero momentum. It is clarified that the energy of a dressed boson strongly depends upon the number distribution {n_q} of the other dressed bosons in the system. The excitation energy of a dressed boson has phonon character when n_0/n ≠0, where n_0 denotes the number of dressed bosons with zero momentum. When n_0/n tends to zero, the phonon character disappears in a drastic way. Some characteristic phenomena in liquid helium II are discussed on the basis of the results of our previous papers and the present paper.
公開者
Oxford University Press
掲載誌名
Progress of Theoretical Physics
巻
66
号
3
開始ページ
831
終了ページ
851
刊行年月
1981-09
ISSN
0033068X
NCID
AA00791455
DOI (出版社版)
info:doi/10.1143/PTP.66.831
URL
http://hdl.handle.net/11094/27278
関連情報 (references)
http://ptp.oxfordjournals.org/content/66/3/831.abstract
言語
英語
カテゴリ
学術雑誌論文 Journal Article
論文詳細を表示
著者版フラグ
publisher
NII資源タイプ
学術雑誌論文
ローカル資源タイプ
学術雑誌論文
dcmi資源タイプ
text
DCTERMS.bibliographicCitation
Progress of Theoretical Physics.66(3) P.831-P.851
DC.title
One-Dimensional Many Boson System. IV : Condensation and Excitation Energy
DC.creator
Kebukawa, Takeji
Sasaki, Shosuke
DC.publisher
Oxford University Press
DC.language" scheme="DCTERMS.RFC1766
英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF
1981-09
DC.identifier
info:doi/10.1143/PTP.66.831
DC.identifier" scheme="DCTERMS.URI
http://hdl.handle.net/11094/27278
DCTERMS.abstract
The analysis for a one-dimensional many boson system with a repulsive delta-function potential is continued. It is shown that the expectation value of the number a_0*a_0 of bare bosons with zero momentum for the exact ground state ∣Ψ_<0,0,…,0>> is negligibly small compared with the total number n in the limit of an infinitely large coupling constant g; i.e., ≪Ψ_<0,…,0>∣a_0*a_0∣Ψ_<0,…,0>>/n→0(for n→∞, g→∞). This result shows a striking contrast to the result ≪Ψ_<0,…,0>∣A_0*A_0∣Ψ_<0,…,0>>/n=1 for an arbitrary g, where A_0*A_0 indicates the number operator of exactly dressed bosons with zero momentum. It is clarified that the energy of a dressed boson strongly depends upon the number distribution {n_q} of the other dressed bosons in the system. The excitation energy of a dressed boson has phonon character when n_0/n ≠0, where n_0 denotes the number of dressed bosons with zero momentum. When n_0/n tends to zero, the phonon character disappears in a drastic way. Some characteristic phenomena in liquid helium II are discussed on the basis of the results of our previous papers and the present paper.
citation_title
One-Dimensional Many Boson System. IV : Condensation and Excitation Energy
citation_author
Kebukawa, Takeji
Sasaki, Shosuke
citation_publisher
Oxford University Press
citation_language
英語
citation_date
1981-09
citation_journal_title
Progress of Theoretical Physics
citation_volume
66
citation_issue
3
citation_firstpage
831
citation_lastpage
851
citation_issn
0033068X
citation_doi
info:doi/10.1143/PTP.66.831
citation_public_url
http://hdl.handle.net/11094/27278