Geodesic
Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 470-479 
A. Hutem. Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 470-479. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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