Artit Hutem and Chanun Sricheewin 2008 Eur. J. Phys. 29 577 doi:10.1088/0143-0807/29/3/017
Ground-state energy eigenvalue calculation of the quantum mechanical well 
via analytical transfer matrix method
Artit Hutem and Chanun Sricheewin
Show affiliationsWe consider a fundamental quantum mechanical bound-state problem in the form of the quartic-well potential 
. 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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Issue 3 (May 2008)
Received 16 November 2007, in final form 22 February 2008
Published 25 April 2008
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Ground-state energy eigenvalue calculation of the quantum mechanical well via analytical transfer matrix method
Artit Hutem and Chanun Sricheewin 2008 Eur. J. Phys. 29 577
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