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Solving the anharmonic oscillator: tuning the boundary condition

Solving the anharmonic oscillator: tuning the boundary condition

We outline a remarkably efficient method for generating solutions to quantum anharmonic oscillators with an x^{2M} potential. We solve the Schroedinger equation in terms of a free parameter which is then tuned to give the correct boundary condition by generating a power series expansion of the wavefunction in x and …