The discussion focuses on the normalization of the (1 0 0) and (2 0 0) wave functions of the hydrogen atom. The wave functions are given as (100) = (2/a^(3/2)) exp^(-r/a) and (200) = (1/((2a)^(3/2))*(2-r/a) exp^(-r/2a). It is established that normalization does not require the use of the momentum operator, as the definition of normalization is sufficient for this task. Participants are encouraged to review the concept of wave function normalization to understand the process fully.
PREREQUISITESStudents of quantum mechanics, physicists working with atomic models, and anyone studying the properties of wave functions in quantum systems will benefit from this discussion.
rini said:Homework Statement
Show that the (1 0 0) and (2 0 0) wave functions of hydrogen atom are properly normalized.
Homework Equations
I know that (n l ml):
(100) = (2/a^(3/2)) exp^ (-r/a)
(200) = (1/((2a)^(3/2))*(2-r/a) exp^(-r/2a)
The Attempt at a Solution
I started with H=-ke^2/r+p^2/2m and don't know how to convert the p operator into spherical coordinates
rini said:I started with H=-ke^2/r+p^2/2m and don't know how to convert the p operator into spherical coordinates