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Paper Abstract and Keywords
Presentation 2014-05-13 15:40
Mathematical analysis for ground state energies of quantum complex systems
Yuya Dan (Matsuyama Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) We investigate the lower bound of ground state energy in quantum complex systems which interact by electrical and magnetic fields.
It is known that Lieb-Thirring inequalities for Schr"{o}dinger operators can improve the estimate of Riesz means for quantum complex systems.
Thus,
we give a sufficient condition for the coefficients in the inequalities and some contribution to Lieb-Thirring conjecture.
Keyword (in Japanese) (See Japanese page) 
(in English) Lieb-Thirring inequalities / Riesz means / Schrödinger operators / diamagnetic inequalities / spectral analysis / / /  
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Conference Information
Committee QIT  
Conference Date 2014-05-12 - 2014-05-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Nagoya Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2014-05-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Mathematical analysis for ground state energies of quantum complex systems 
Sub Title (in English)  
Keyword(1) Lieb-Thirring inequalities  
Keyword(2) Riesz means  
Keyword(3) Schrödinger operators  
Keyword(4) diamagnetic inequalities  
Keyword(5) spectral analysis  
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1st Author's Name Yuya Dan  
1st Author's Affiliation Matsuyama University (Matsuyama Univ.)
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Speaker Author-1 
Date Time 2014-05-13 15:40:00 
Presentation Time 20 minutes 
Registration for QIT 
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