%0 Journal Article %1 springerlink:10.1134/S0965542511030079 %A Hutem, A. %D 2011 %I MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC. %J Computational Mathematics and Mathematical Physics %K equation mechanics physics quantum schrodinger solution %N 3 %P 435-443 %T Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential $$ Vłeft( x \right) = 1 2kx^2 + x^4 $$ %U http://dx.doi.org/10.1134/S0965542511030079 %V 51 %X The analytical transfer matrix method is applied to the quantum mechanical bound-state problem potential with V(x) = (1/2)kx 2 + λx 4. It is found that numerical values of phase contribution are unstable when compared with standard methods like numerical WKB approximation, this leads to substantial errors in excited-state energy calculation.

@article{springerlink:10.1134/S0965542511030079, abstract = {The analytical transfer matrix method is applied to the quantum mechanical bound-state problem potential with V(x) = (1/2)kx 2 + λx 4. It is found that numerical values of phase contribution are unstable when compared with standard methods like numerical WKB approximation, this leads to substantial errors in excited-state energy calculation.}, added-at = {2011-07-02T05:06:27.000+0200}, affiliation = {Physics Division, Faculty of Science and Technology, Chiangmai Rajabhat University, Chiang mai, 50300 Thailand}, author = {Hutem, A.}, biburl = {https://www.bibsonomy.org/bibtex/23503f14a878c6017600f1eb9f9ba7207/drmatusek}, interhash = {4cc31736a5e605b4a892b552189b47fd}, intrahash = {3503f14a878c6017600f1eb9f9ba7207}, issn = {0965-5425}, journal = {Computational Mathematics and Mathematical Physics}, keyword = {Physics and Astronomy}, keywords = {equation mechanics physics quantum schrodinger solution}, month = {March}, note = {10.1134/S0965542511030079}, number = 3, pages = {435-443}, publisher = {MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.}, timestamp = {2013-04-02T05:29:56.000+0200}, title = {Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential $$ V\left( x \right) = \frac{1} {2}kx^2 + \lambda x^4 $$}, url = {http://dx.doi.org/10.1134/S0965542511030079}, volume = 51, year = 2011 }