Numerical Integration of Large Expression
- To: mathgroup at smc.vnet.net
- Subject: [mg43311] Numerical Integration of Large Expression
- From: reallymadsquid at hotmail.com (Musaddiq Awan)
- Date: Sun, 24 Aug 2003 04:55:08 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
I am trying to use Rayleigh-Schrodinger Perturbation theory to modify the harmonic oscillator. The wavefunctions are a product of the Hermite polynomials and an exponential function. I can integrate the 2nd order approximation up to n = 8. When I try to integrate for n = 9 the computer does not return a result. The Hermite Polynomial at n = 9 is as follows 30240 x - 80640 x^3 + 48384 x^5 - 9216 x^7 + 512 x^9. I am integrating this times an exponential the whole quantity squared. Is there any suggestion on how to integrate this efficiently with a computer. I was initially planning to go up to n = 50, and still hope to achieve that possibility. Any help would be greatly appreciated. Thank you, Musaddiq Awan