Ruo-Lin Chai, Qiong-Tao Xie, Xiao-Liang Liu. Exact scattering states in one-dimensional Hermitian and non-Hermitian potentials[J]. Chinese Physics B, 2020, 29(9):
- Chinese Physics B
- Vol. 29, Issue 9, (2020)
Fig. 1. Profiles of the potential V (x ) for (a) V 1 = –1.8, (b) V 1 = –1.5, (c) V 1 = –1.2 with g = 3, V 2 = 6, and V 3 = 0. In the right column, we plot the corresponding numerical results for the transmission probabilities T as a function of the incident energies E . The circles are for the exact results T = 1 at E = E ex 1
Fig. 2. Profiles of the potential V (x ) for (a) V 1 = –0.8, (b) V 1 = 0.6, (c) V 1 = 0.75, and (d) V 1 = 1.6 with g = V 3 = 0 and V 2 = –3/4. The corresponding transmission probabilities as a function of the incident energies E are plotted in the right column. The circles are for the exact results T = 1 at E = E ex 1
Fig. 3. Profiles of the real (solid lines) and imaginary (dashed lines) parts of the generalized PT symmetric Scarf II potential for (a) k = –2, (b) k = –1, (c) k = –0.5, and (d) k = 0.5. The potential parameters are given as V 1 = –2kA , V 2 = –A 2, and V 3 = –A with A = 2 and g = 0.
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