SOLUTION OF SCHRODINGER EQUATION WITH A HAMILTONIAN PERIODIC IN TIME
SOLUTION OF SCHRODINGER EQUATION WITH A HAMILTONIAN PERIODIC IN TIME
复制标题
DOI：
10.1103/physrev.138.b979
复制
发表时间：
1965-01-01
期刊：
影响因子：
--
通讯作者：
SHIRLEY, JH
中科院分区：
文献类型：
--
作者：
SHIRLEY, JH
研究了量子系统与振荡场的相互作用，用无限矩阵表示的与时间无关的哈密顿量代替了半经典的含时哈密顿量。形式主义被发展为半经典处理的数学等价，并被解释为场的量子处理的经典近似。结合两个近简并态的微扰理论，该公式为确定包括频移和多次量子跃迁在内的共振跃迁几率提供了一种方便的方法。通过对强振荡场激发的两态系统的简单情况的详细研究，说明了该理论的正确性。
The interaction of a quantum system with an oscillating field is studied in a formalism which replaces the semiclassical time-dependent Hamiltonian with a time-independent Hamiltonian represented by an infinite matrix. The formalism is developed as a mathematical equivalent to the semiclassical treatment, and interpreted as a classical approximation to the quantum treatment of the field. Combined with a perturbation theory for two nearly degenerate states, the formalism provides a convenient method for determining resonance transition probabilities including frequency shifts and multiple quantum transitions. The theory is illustrated by a detailed study of the simple case of a two-state system excited by a strong oscillating field.