Quick search Find article
Quick search
Find article

Use of the Rayleigh-Ritz-Galerkin method with cubic splines for constructing single-particle bound-state radial wavefunctions: The hydrogen atom and its spectrum

B W Shore

Show affiliations


The author presents a simple scheme of basis functions piecewise-continuous cubic polynomials, together with a simple quadrature approximation for matrix elements. Applied to the hydrogen atom, the method allows a dozen basis functions to approximate the 14 bound states 1s ... 5f with an average error of 0.03% in energies and 0.2% in the oscillator strengths of the 28 allowed transitions.


PACS

32.70.Cs Oscillator strengths, lifetimes, transition moments

31.15.-p Calculations and mathematical techniques in atomic and molecular physics

Subjects

Atomic and molecular physics

Computational physics

Dates

Issue 10 (October 1973)



Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Use of boundary-condition wavefunctions for bound states, continuum states, and resonances
  2. Hartree-Fock mesh calculations of the energy levels of the helium atom in magnetic fields

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.