Well. I've gotten one sum of three integrals. Say:
1º \int^{\infty}_{-\infty} A e^{\alpha_{z}z²} H_{n_{z}}(\sqrt{\alpha_{z}} z) H_{n_{z}}(\sqrt{\alpha_{z}} z)(\alpha_{z}-\alpha_{z}²z²) dz
2º \int^{\infty}_{-\infty} -4n_{z}\alpha_{z}A e^{\alpha_{z}z²} z H_{n_{z}}(\sqrt{\alpha_{z}} z)...
Hi,
I'm trying to resolve a problem (17-2) of Pauling's book (Introduction to Quantum Mechanics ), but I'm not achieving this integration. So, I ask for your help. The problem says:
Calculate \overline{p_{z}²} (where p_{z} = momentum in z direction and \overline{x} = average value of x...