Answer to Question #156504 in Quantum Mechanics for Satyam

Question

What is energy of H atom.

Answer 1

The motion of the electron is not free. The electron is bound to the atom by the attractive force of the nucleus and consequently quantum mechanics predicts that the total energy of the electron is quantized. The expression for the energy is:

$$E_n=-\frac{2\pi^2 me^4z^2}{n^2h^2}$$

where m is the mass of the electron, e is the magnitude of the electronic charge, n is a quantum number, h is Planck's constant and Z is the atomic number (the number of positive charges in the nucleus).