Computation of the eigenvalues of the Schrödinger equation by exponentially-fitted Runge–Kutta–Nyström methods Export

@article{citeulike:3926273, abstract = {In this work we consider exponentially fitted and trigonometrically fitted Runge–Kutta–Nystr\"{o}m methods. These methods integrate exactly differential systems whose solutions can be expressed as linear combinations of the set of functions exp( w x ) , exp(− w x ) , or sin( w x ) , cos( w x ) , w . We modify existing RKN methods of fifth and sixth order. We apply these methods to the computation of the eigenvalues of the Schr\"{o}dinger equation with different potentials as the harmonic oscillator, the doubly anharmonic oscillator and the exponential potential.}, author = {Kalogiratou, Z. and Monovasilis, T. and Simos, T.}, citeulike-article-id = {3926273}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.cpc.2008.09.001}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0010465508002993}, doi = {10.1016/j.cpc.2008.09.001}, issn = {00104655}, journal = {Computer Physics Communications}, keywords = {numerical\_schrodinger}, month = {February}, number = {2}, pages = {167--176}, posted-at = {2009-01-23 01:40:11}, priority = {5}, title = {Computation of the eigenvalues of the Schr\"{o}dinger equation by exponentially-fitted Runge–Kutta–Nystr\"{o}m methods}, url = {http://dx.doi.org/10.1016/j.cpc.2008.09.001}, volume = {180}, year = {2009} }

TY - JOUR ID - citeulike:3926273 L3 - citeulike-article-id:3926273 N2 - In this work we consider exponentially fitted and trigonometrically fitted Runge–Kutta–Nyström methods. These methods integrate exactly differential systems whose solutions can be expressed as linear combinations of the set of functions exp( w x ) , exp(− w x ) , or sin( w x ) , cos( w x ) , w . We modify existing RKN methods of fifth and sixth order. We apply these methods to the computation of the eigenvalues of the Schrödinger equation with different potentials as the harmonic oscillator, the doubly anharmonic oscillator and the exponential potential. IS - 2 JF - Computer Physics Communications SN - 00104655 EP - 176 TI - Computation of the eigenvalues of the Schrödinger equation by exponentially-fitted Runge–Kutta–Nyström methods VL - 180 SP - 167 KW - numerical_schrodinger AU - Kalogiratou, Z AU - Monovasilis, T AU - Simos, T PY - 2009/02// UR - http://dx.doi.org/10.1016/j.cpc.2008.09.001 ER -