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arXiv 1302.1985cond-mat.mes-hallquant-ph
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自旋动力学中量子弛豫与经典弛豫的比较

Comparison of quantum and classical relaxation in spin dynamics

R. Wieser

摘要:

在非厄米Hamilton算符的假设下,由量子机械波函数的时间演化导出了经典的带阻尼项的Landau-Lifshitz方程.此外,经典自旋$\mathrm{S}$的轨迹已经与自旋算符$\mathrm{\hat{S}}$的期望值进行了比较。对于分别在$\mathrm{\hat{S}}$和$\mathrm{S}$中线性化的哈密顿量,可以发现经典和量子力学轨道之间的良好一致性.哈密顿量中的二次或更高阶项导致不一致。

英文摘要:

The classical Landau-Lifshitz equation with damping term has been derived from the time evolution of a quantum mechanical wave function under the assumption of a non-hermitian Hamilton operator. Further, the trajectory of a classical spin $\mathrm{S}$ has been compared with the expectation value of the spin operator $\mathrm{\hat{S}}$. A good agreement between classical and quantum mechanical trajectories can be found for Hamiltonians linear in $\mathrm{\hat{S}}$ respectively $\mathrm{S}$. Quadratic or higher order terms in the Hamiltonian result in a disagreement.

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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