论文标题
E.C.G. Sudarshan及其对角度表示
E.C.G.Sudarshan and his Diagonal Representation in Quantum Optics
论文作者
论文摘要
该专着的必要条件是重现Sudarshans纸张的结果，即1963年发表的统计光束的半经典和量子机械描述的结果。为了朝着该方向迈进，我们还描述了线性谐波振荡器及其代数等效性，并具有单模式量化光束。连贯的状态及其过度的特性以及密度矩阵的对角线表示是重现结果的先决条件。大多数针对研究生的教科书都非常详细地描述了线性谐波振荡器，但他们神秘地提到了连贯的状态及其相关特性。因此，学生很难理解仅包含七个方程式的Sudarshans论文的本质。该专着以清晰的方式写成，没有专家的帮助，就能理解它。
The essential of this monograph is to reproduce the results of Sudarshans paper Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams published in 1963. To go in that direction we also describe the linear harmonic oscillator and its algebraic equivalence with a single-mode quantized beam of light. Coherent states and their overcompleteness properties along with the diagonal representation of the density matrix are essential as a prerequisite to reproduce the result. Most of the textbooks meant for graduate students describe linear harmonic oscillators in great detail but they cryptically mention coherent states and their associated properties. So it is difficult for the students to understand the essence of Sudarshans paper which contains only seven equations. This monograph is written in such a lucid manner that without the help of experts one can understand it.
