One-Dimensional Many Boson System. IV : Condensation and Excitation Energy

Kebukawa, Takeji; Sasaki, Shosuke

doi:info:doi/10.1143/PTP.66.831

このアイテムのアクセス数:35件（2018-12-12 04:48 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:https://doi.org/10.1143/PTP.66.831

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

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タイトル	One-Dimensional Many Boson System. IV : Condensation and Excitation Energy
著者	Kebukawa, Takeji Kebukawa, Takeji
著者	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_0a_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_0a_0∣Ψ_<0,…,0>>/n→0(for n→∞, g→∞). This result shows a striking contrast to the result ≪Ψ_<0,…,0>∣A_0A_0∣Ψ_<0,…,0>>/n=1 for an arbitrary g, where A_0A_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	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

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
DC.creator	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_0a_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_0a_0∣Ψ_<0,…,0>>/n→0(for n→∞, g→∞). This result shows a striking contrast to the result ≪Ψ_<0,…,0>∣A_0A_0∣Ψ_<0,…,0>>/n=1 for an arbitrary g, where A_0A_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
citation_author	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

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