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Anharmonic Oscillator

1973; American Physical Society; Volume: 7; Issue: 6 Linguagem: Inglês

10.1103/physrevd.7.1701

1538-4500

P. Lu, Sascha Wald, B. L. Young,

Quantum Mechanics and Applications

We solve the anharmonic-oscillator problem as given by Bender and Wu to include the ${\ensuremath{\hbar}}^{4}$ terms for the energy eignevalues and the ${\ensuremath{\hbar}}^{2}$ terms for the eigenfunctions by means of the Miller and Good modified WKB method. This is done by accepting the harmonic oscillator as a solved problem. We see that in doing so, not only can we get better energy eigenvalues, but also we can get improved eigenfunctions.