一维NLHO相干态制备的复化与因式分解和形变方法：I.数学构造
Complexifier Versus Factorization and Deformation Methods For Generation of Coherent States of a 1D NLHO: I. Mathematical Construction
摘要：
三种方法：提出了一维非线性谐振子相干态的构造方法，即复化、因式分解和形变。由于通过对Jacobi多项式$P_n^{a,b}$的研究，可以弥补两者之间的差异，所以本文也给出了一维非线性高次光学薛定谔方程的Jacobi多项式的精确解。
英文摘要：
Three methods: complexifier, factorization and deformation, for construction of coherent states are presented for one dimensional nonlinear harmonic oscillator (1D NLHO). Since by exploring the Jacobi polynomials $P_n^{a,b}$'s, bridging the difference between them is possible, we give here also the exact solution of Schrödinger equation of 1D NLHO in terms of Jacobi polynomials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
