论文标题
有效的Heisenberg方程式
Effective Heisenberg equations for quadratic Hamiltonians
论文作者
论文摘要
我们讨论通过平均投影仪相对于自由动力学获得的有效量子动力学。对于二次费米子哈密顿人产生的统一动力学,我们获得了有效的海森伯格动力学。通过扰动扩展,我们获得了对应的有效时间内定位的海森堡方程。我们还讨论了类似的玻色疾病问题。
We discuss effective quantum dynamics obtained by averaging projector with respect to free dynamics. For unitary dynamics generated by quadratic fermionic Hamiltonians we obtain effective Heisenberg dynamics. By perturbative expansions we obtain the correspondent effective time-local Heisenberg equations. We also discuss a similar problem for bosonic case.