Physics – Computational Physics
Scientific paper
2006-02-21
Physics
Computational Physics
56 pages, 11 figures
Scientific paper
We present a non-variational, kinetic energy operator approach to the solution of quantum three-body problem with Coulomb interactions, based on the utilization of symmetries intrinsic to the kinetic energy operator, i.e., the three-body Laplacian operator with the respective masses. Through a four-step reduction process, the nine dimensional problem is reduced to a one dimensional coupled system of ordinary differential equations, amenable to accurate numerical solution as an infinite-dimensional algebraic eigenvalue problem. A key observation in this reduction process is that in the functional subspace of the kinetic energy operator where all the rotational degrees of freedom have been projected out, there is an intrinsic symmetry which can be made explicit through the introduction of Jacobi-spherical coordinates. A numerical scheme is presented whereby the Coulomb matrix elements are calculated to a high degree of accuracy with minimal effort, and the truncation of the linear equations is carried out through a systematic procedure
Chi Xuguang
Hsiang Wuyi
Sheng Ping
No associations
LandOfFree
Kinetic energy operator approach to the quantum three-body problem with Coulomb interactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Kinetic energy operator approach to the quantum three-body problem with Coulomb interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kinetic energy operator approach to the quantum three-body problem with Coulomb interactions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-454587