标题： N 分子量子化辐射场哈密顿量的研究 显示英文标题

标题： A Study of an N Molecule Quantized-Radiation-Field Hamiltonian

摘要： 在本论文中，从一个由N个双能级分子通过偶极近似与单模量子化辐射场相互作用的模型出发，发展出一个简单的分子与辐射场系统哈密顿量。这个哈密顿量的精确本征值和本征向量与应用到简单模型的不同近似方案所得到的解析结果进行了比较。这种比较的结果是发展出了利用这些近似方案解决更复杂问题的有效性标准。例如，这里的分析表明，在解释气体激光器（微波激射器）中相干辐射“积累”现象时，使用独立分子近似可能是不合适的。 显示英文摘要

摘要： In this dissertation a simple Hamiltonian for a system of inter-acting molecules and radiation field is developed from a model of N Two-Level Molecules interacting, via a dipole approximation, with a single mode, quantized radiation field. The exact eigenvalues and eigenvectors of this Hamiltonian are compared with analytical results obtained from several different approximation schemes applied to the simple model. The consequence of this comparison is the development of validity criteria for the utilization of these approximation schemes to more difficult problems. For example, an analysis done here indicates that using an independent molecule approximation in an explanation of the "build up" of coherent radiation in a gas laser (maser) may be inappropriate.