| Resumen |
The exact solutions of the 1D Schrodinger equation with the Mathieu potential V (x) = a(2) sin(2) (b x) - a b (2c + 1) cos(b x) v b(2) (a > 0, b > 0) are presented as a confluent Heun function H-C (alpha, beta, gamma, delta, eta; z). The eigenvalues are calculated precisely by solving the Wronskian determinant. The wave functions for the positive and negative parameter c, which correspond to two different potential wells with symmetric axis x = 0 and x = pi are plotted. It is found that the wave functions are shrunk to the origin for given values of the parameters a = 1, b = 1 and v = 2 when the potential parameter vertical bar c vertical bar increases. |
