Excitation spectrum of the Toda lattice for finite temperatures
Excitation spectrum of the Toda lattice for finite temperatures
复制标题
有限温度下 Toda 晶格的激发光谱
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
F. Mertens
中科院分区：
文献类型：
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作者：
P. Gruner;F. Mertens
对于Toda格，导出了Yang和Yang的经典极限积分方程，并给出了它们的解析解。引入重整化能量最终导致经典孤子和半经典声子的有限温度激发谱。用消失动量的群速度与声速的比较来检验激发能，声速可以直接由热力学计算得到。
For the Toda lattice, the integral equations of Yang and Yang are derived for the classical limit and their analytical solutions are given. The introduction of renormalized energies eventually leads to a finite temperature excitation spectrum of classical solitons and semiclassical phonons. The excitation energies are tested by a comparison of the group velocities for vanishing momentum with the sound velocity which can be calculated directly from the thermodynamics.