Recently, a ‘‘shooting’’ method has been used to obtain exact expressions for eigenvalues and eigensolutions of the two‐dimensional hydrogen atom. This paper shows that the shooting method is easy for undergraduate students to understand and implement numerically. The highly accurate approximations for both eigenvalues and eigensolutions are then used to contrast the two‐dimensional and three‐dimensional hydrogen atoms. Finally, previous methods for solving the two‐dimensional hydrogen atom are compared with the shooting method.

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