Note on the normalization of Dirac Functions

C. C. Lin

K. H. Bhaskara, K. Rama

G. Coddens

Mehdi Hage-Hassan

We determine the generating function of the harmonic oscillator by a new method. Using this generating function we derive the eigenfunctions of the moment p. We find that the normalization of these eigenfunctions is a real and not complex number with phase factor chosen equal one (standard books of quantum mechanics). We prove that the integral of the delta function is equal to one and we derive the oscillator propagator.

Leverett Davis

The radial functions for the discrete levels of Dirac's relativistic hydrogenic atom are expressed in terms of the generalized Laguerre polynomials which have known properties. This leads to an easy method of evaluating the normalization constants and the average values of ${r}^{q}$.

Dehai Bao, Z. Y. Zhu