薛定谔系统H=-{1/2}（t_o/t）^a \partial_{xx} +（1/2）ω^2（t/t_o）^b x^2
The Schrödinger system H=-{1/2} (t_o/t)^a \partial_{xx} + (1/2) ω^2 (t/t_o)^b x^2
摘要：
本文研究了一类特殊的含时哈密顿问题H=-{1/2}（t_o/t）^a \partial_{xx} +（1/2）ω^2（t/t_o）^bx^2.这对应于与时间相关的质量（TM）薛定谔方程。我们给出了不同的含时二次薛定谔方程（TQ）和不同的含时振子（TO）方程的具体变换。对于每一个薛定谔系统，我们给出了时空对称性的李代数、数态、压缩态<x>和<p>（以及它们的经典运动）、（Δx）^2、（Δp）^2以及不确定性积。
英文摘要：
We attack the specific time-dependent Hamiltonian problem H=-{1/2} (t_o/t)^a \partial_{xx} + (1/2) ω^2 (t/t_o)^b x^2. This corresponds to a time-dependent mass (TM) Schrödinger equation. We give the specific transformations to a different time-dependent quadratic Schrödinger equations (TQ) and to a different time-dependent oscillator (TO) equation. For each Schrödinger system, we give the Lie algebra of space-time symmetries, the number states, the squeezed-state <x> and <p> (with their classical motion), (Δx)^2, (Δp)^2, and the uncertainty product.
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。
