| Baierlein猜测的反例 |
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| 引用本文： | 戴显熹 俞权. Baierlein猜测的反例[J]. 复旦学报(自然科学版), 1997, 36(3): 253-262 |
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| 作者姓名： | 戴显熹 俞权 |
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| 作者单位： | 复旦大学物理学系!上海，200433 |
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| 基金项目： | 国家自然科学基金，国家教委高等学校博士学科点专项科研基金 |
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| 摘 要： | 导出了量子统计下有相互作用体系下对应的无相互作用体系的熵差的普适关系。而Ｂａｉｅｒｌｅｉｎ不等式为它在经典统计下的特例，利用一个可解模型，举出一类违反Ｂａｉｅｒｌｅｉｎ猜测的实例，并对其物理机制作了分析，从而否定了维持２０多年的Ｂａｉｅｒｌｅｉｎ猜测普遍存在的可能性。
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| 关 键 词： | Baierlein猜测 熵 量子统计 熵差 |
A counter-example of the Baierlein conjecture |
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| Dai Xianxi,Yu Quan,Zhang Chen,Ding Feng,Ma Guicun. A counter-example of the Baierlein conjecture[J]. Journal of Fudan University(Natural Science), 1997, 36(3): 253-262 |
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| Authors: | Dai Xianxi Yu Quan Zhang Chen Ding Feng Ma Guicun |
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| Affiliation: | Department of Physics |
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| Abstract: | In this paper an universal entropy relation between the interacting system andcorresponding non-interacting system are derived in quantum statistics. It includes theBaierlain inequality in classieal statistics as its special case. A set of counter-examples of theBaierlain conjecture (The entropy of any thermodynamic system will decrease when the interaction or the external field are switched on it. ) are found by an exactly soluble model. Itsphysical mechanism is analyzed. It rejects the possibility of the universal existence of thefamous Baierlain conjecture, which was proposed about 28 years agO, but has not beenproved or negated up to now. |
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| Keywords: | Baierlain conjecture entroyp quantum statistics |
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