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[en] We consider a fundamental quantum mechanical bound-state problem in the form of the quartic-well potential V(x)=1/2 kx2+λx4. The analytical transfer matrix method is applied. This yields a quantization condition from which we can calculate the phase contributions and ground-state energy eigenvalues numerically. We also compare the results with those obtained from other typical means popular among physics students, namely the numerical shooting method, perturbation theory and the standard WKB method
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