Abstract:
The analytical transfer matrix method is applied to the quantum mechanical bound-state problem potential with $V(x)=(1/2)kx^2+\lambda x^4$. It is found that numerical values of phase contribution are unstable
when compared with standard methods like numerical shoot method, WKB approximation, this leads to substantial errors in excited-state energy calculation.
Key words:bound-state problem of quantum mechanics, analytical transfer matrix-method, numerical method for
quadrat – well problem.
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