Algorithm for reduction of boundary-value problems in multistep adiabatic approximation

Autor:	Gusev, A. A., Chuluunbaatar, O., Gerdt, V. P., Markovski, B. L., Serov, V. V., Vinitsky, S. I.
Rok vydání:	2010
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics
Druh dokumentu:	Working Paper
Popis:	The adiabatic approximation is well-known method for effective study of few-body systems in molecular, atomic and nuclear physics, using the idea of separation of "fast" and "slow" variables. The generalization of the standard adiabatic ansatz for the case of multi-channel wave function when all variables treated dynamically is presented. For this reason we are introducing the step-by-step averaging methods in order to eliminate consequently from faster to slower variables. We present a symbolic-numerical algorithm for reduction of multistep adiabatic equations, corresponding to the MultiStep Generalization of Kantorovich Method, for solving multidimensional boundary-value problems by finite element method. An application of the algorithm to calculation of the ground and first exited states of a Helium atom is given. Comment: 7 figures; Submitted to Mathematics and Computer in Simulation
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1005.2089 Zobrazit plný text záznamu View this record from Arxiv