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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 3, Pages 470–479 (Mi zvmmf8084)  
Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential $V(x)=(1/2)kx^2+\lambda x^4$

A. Hutem

Physics Division, Faculty of Science and Technology, Chiangmai Rajabhat University, Chiang mai 50300, Thailand
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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.
Received: 27.07.2009
Revised: 17.05.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 3, Pages 435–443
DOI: https://doi.org/10.1134/S0965542511030079
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: English
Citation: A. Hutem, “Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential $V(x)=(1/2)kx^2+\lambda x^4$”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 470–479; Comput. Math. Math. Phys., 51:3 (2011), 435–443
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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