Exact Polynomial Eigensolutions of the Schrödinger Equation for the Pseudoharmonic Potential
نویسندگان
چکیده
Abstract The polynomial solution of the Schrödinger equation for the Pseudoharmonic potential is found for any arbitrary angular momentum l. The exact bound-state energy eigenvalues and the corresponding eigen functions are analytically calculated. The energy states for several diatomic molecular systems are calculated numerically for various principal and angular quantum numbers. By using a proper transformation, this problem can be also solved very simply using the known eigensolutions of anharmonic oscillator potential.
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