《Table 1 Energy levels of the Schr¨odinger equation with potential (1) .》

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《Semi-exact Solutions of Konwent Potential》

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In this section we are going to study some basic properties of the wave functions as shown in Figs.2–5.We first consider the positive A.Since the energy spectrum cannot be given explicitly we have to solve the second order differential equation（3）numerically.Originally，we are going to calculate the energy levels numerically by using the M AP LE，which includes the confluent Heun function which is unavailable in M AT HEM AT ICA.However，the variable z≥1 makes the calculation difficult or impossible.We finally used the command“ParametricNDSolveValue”in M AT HEM AT ICA to solve this differential equation（3）.We denote the energy levels as?i（i∈[1，7]）and list them in Table 1.