D维各向异性q变形振子及其波函数

D-DIMENSIONAL q-DEFORMED OSCILLATOR AND THEIR WAVE FUNCTIONS

把一维 q变形振子的结论推广到 D维 q变形振子体系 ,得到了 D维 q变形振子体系的哈密顿算符形式 ,并求出了其本征值和在坐标象中的本征函数 .结果显示 ,这是一个非线性振子 .

Using the theory of one dimensional q deformed oscillator,it is constructed the Hamiltonian operator of D dimensional q deformed oscillator,and work out its eigenvalues and eigenfunctions in coordinate representation.The result shows this oscillator is nonlinear.