热场中原子的电离
Ionization of Atoms in a Thermal Field
摘要：
研究了正温度下原子与黑体辐射耦合的量子力学系统的定态。非相互作用系统的定态由乘积态给出，其中粒子处于对应于粒子哈密顿量的本征值的束缚态，并且场处于其平衡态。我们表明，如果费米的黄金法则预测，一个固定状态后，耦合到辐射场解体，那么它是不稳定的，提供的耦合常数是足够小的（取决于温度）。在$W^*$ -动力系统的框架下，通过分析系统的热哈密顿量（Liouvillian）的谱，证明了这一结果.我们的谱分析的一个关键要素是积极的交换子方法。
英文摘要：
We study the stationary states of a quantum mechanical system describing an atom coupled to black-body radiation at positive temperature. The stationary states of the non-interacting system are given by product states, where the particle is in a bound state corresponding to an eigenvalue of the particle Hamiltonian, and the field is in its equilibrium state. We show that if Fermi's Golden Rule predicts that a stationary state disintegrates after coupling to the radiation field then it is unstable, provided the coupling constant is sufficiently small (depending on the temperature). The result is proven by analyzing the spectrum of the thermal Hamiltonian (Liouvillian) of the system within the framework of $W^*$-dynamical systems. A key element of our spectral analysis is the positive commutator method.
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