Abstract
Stirling's interpolation formula is used to obtain a matrix representation of the time-independent Schrödinger equation. It is shown that an N-point Stirling interpolation formula is able to give an order of ϵ 2 N accuracy to the kinetic energy matrix. The potential matrix is diagonal and can be calculated exactly without involving any integration. Therefore, this formulation is able to yield any desired accuracy for a given discretized real space. A general formula is given explicitly for constructing the Hamiltonian matrix elements to any order of accuracy.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
