Chapter 5, Problem 5.21P

To determine

(a)

To compute:

The distances $r_e$ and $r_p$ in terms of $r,m_e$ and $M$ .

To determine

(b)

To compute:

Total kinetic energy, $K=\frac{1}{2}\mu r^2{\omega }^2$ and reduced mass, $\mu =0.9995m_e$ .

To determine

(c)

To compute:

Newton's law applied to either the electron or proton gives $\frac{k{e}^2}{r^2}=\mu {\omega }^{2}r$

To determine

(d)

To Compute:

$K=-\frac{U}{2}$ and $E=\frac{U}{2}$ .

To determine

(e)

To compute:

Total angular momentum, $L=\mu r^2\omega$ .

To determine

(f)

To compute:

The allowed energies are given by the usual formula: $U=-\frac{E_R}{n^2}$

To determine

(g)

To compute:

The energy of the ground state of hydrogen and compare with the fixed proton result, $E_R=\frac{m_e{\left(k{e}^2\right)}^2}{2{\hslash }^2}$