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arXiv 0710.2303math-phmath.MP
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量子非谐晶体中的相变与量子稳定

Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals

Alina Kargol, Yuri Kondratiev, Yuri Kozitsky

摘要:

本文提出了量子非谐晶体中相变和量子效应的统一理论。在其框架内,这两种现象之间的关系进行了分析。该理论是基于代表性的模型吉布斯状态的路径措施(欧几里德吉布斯措施)。它涵盖了没有平移不变性的晶体的情况下,以及不对称的非谐势的情况下。所得结果与文献中已知的结果进行了比较。

英文摘要:

A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. The theory is based on the representation of the model Gibbs states in terms of path measures (Euclidean Gibbs measures). It covers the case of crystals without translation invariance, as well as the case of asymmetric anharmonic potentials. The results obtained are compared with those known in the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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