1. Explain the time-independent Schrdinger equation for the hydrogen atom and what information is obtained from it. Also, in relation to electrons and their states, what does each of the four quantum numbers mean?

2. For the one-electron atom problem, determine the value of energy in its state fundamental (ground state).

Suppose the one-dimensional wave function of an electron is given by (x)=(x2+a2)a For a>0 and