Mathematics
Scientific paper
Oct 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..72..497b&link_type=abstract
Astrophysics and Space Science, vol. 72, no. 2, Oct. 1980, p. 497-507.
Mathematics
2
Ion Motion, Perturbation Theory, Quantum Mechanics, Three Body Problem, Boundary Conditions, Boundary Value Problems, Differential Equations, Scalars, Schroedinger Equation, Singularity (Mathematics), Wave Functions
Scientific paper
A new method is presented in a general form to solve the Schroedinger equation of helium-like ions. The wave function is expanded in terms of the eigenfunctions of a moving electron in the field of two Coulombic ions which are fixed in space. This makes the method similar to the Dirac perturbation theory (perturbation theory for time-dependent problems). In the present method an infinitely coupled system of infinitely many second-order ordinary differential equations must be solved instead of one second-order partial differential equation of three variables. The nature of the singular points and boundary conditions are discussed and some general relations are given which are useful for the numerical treatment.
No associations
LandOfFree
Restricted quantum-mechanical three-body problems. II - A general theory of helium-like ions 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 Restricted quantum-mechanical three-body problems. II - A general theory of helium-like ions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Restricted quantum-mechanical three-body problems. II - A general theory of helium-like ions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-947342