Abstract
The generalized discrete variable representation, as opposed to the discrete variable representation, of a Hamiltonian is such that it can give accurate eigenvalues of the Hamiltonian even if non-Gaussian quadrature points and weights are used in its construction. A new method of building up the generalized discrete variable representation of a Hamiltonian has been described and its properties have been analyzed. This new method appears to be optimal, meaning that no other design based on the same points, weights, and basis functions can be conceived which would give more accurate eigenvalues. Numerical calculations have revealed that, remarkable accuracy can be achieved even with general, non-Gaussian quadrature points and weights.
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
