Solution to the Equations of the Moment Expansions

Details Solution to the Equations of the Moment Expansions Solution to the Equations of the Moment Expansions

2011-10-04

arxiv.org/abs/1110.0782v1

Physics

Quantum Physics

Scientific paper

We develop a formula for matching a Taylor series about the origin and an asymptotic exponential expansion for large values of the coordinate. We test it on the expansion of the generating functions for the moments and connected moments of the Hamiltonian operator. In the former case the formula produces the energies and overlaps for the Rayleigh-Ritz method in the Krylov space. We choose the harmonic oscillator and a strongly anharmonic oscillator as illustrative examples for numerical test. Our results reveal some features of the connected-moments expansion that were overlooked in earlier studies and applications of the approach.

Affiliated with

Also associated with

No associations

Rating

Solution to the Equations of the Moment Expansions 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 Solution to the Equations of the Moment Expansions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Solution to the Equations of the Moment Expansions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-270050