On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrodinger equation: Interacting fermion case
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作者:
Its, AR
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Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USAIndiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
Its, AR
[1
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Slavnov, NA
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机构:Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
Slavnov, NA
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[1] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
We consider the local field dynamic temperature correlation function of the quantum nonlinear Schrodinger equation with a finite coupling constant. This correlation function admits a Fredholm determinant representation. The related operator-valued Riemann-Hilbert problem is used to analyze the leading term of the large time and distance asymptotic expansion of the correlation function.
机构:
China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Zhou, Xin-Mei
Tian, Shou-Fu
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Tian, Shou-Fu
Yang, Jin-Jie
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
Yang, Jin-Jie
Mao, Jin-Jin
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China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R ChinaChina Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
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Fudan Univ, Sch Math Sci, Inst Math, Shanghai 200433, Peoples R China
Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Inst Math, Shanghai 200433, Peoples R China
Zhang, Bo
Fan, Engui
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Fudan Univ, Sch Math Sci, Inst Math, Shanghai 200433, Peoples R China
Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Inst Math, Shanghai 200433, Peoples R China
机构:
Colorado State Univ, Dept Math, 1874 Campus Delivery, Ft Collins, CO 80523 USAColorado State Univ, Dept Math, 1874 Campus Delivery, Ft Collins, CO 80523 USA
Gharakhloo, Roozbeh
Its, Alexander
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Indiana Univ Purdue Univ, Dept Math Sci, 402 N Blackford St, Indianapolis, IN 46202 USA
St Petersburg State Univ, Univ Skaya Emb 7-9, St Petersburg 199034, RussiaColorado State Univ, Dept Math, 1874 Campus Delivery, Ft Collins, CO 80523 USA