二维环状δ势的束缚态

The bound states of two dimensional ring delta potential

讨论了二维自由空间和各向同性谐振子势下环状δ势束缚态波函数的表示,发现波函数由合流超几何函数和屈科米函数表示.由波函数在边界的衔接条件,得到了能谱方程,并给出了一定条件下前5个能级的数值解.

The bound state wavefunction inside and outside two-dimensional ring delta potential with and without homogeneous harmonic oscillator potential are given in term of confluent geometric and Tricomi function.The energy spectrum equation is obtained from the matching condition on the boundary.Some numerical results are also obtained for the first five energy levels of zero angular momentum state.