Problem 127. 1. Write down an expression for a spinor describing the equal superposition of states, in which an electron in the ground state of an infinite one- dimensional potential is also in a spin-up state, while an electron in the first excited state of this potential is also in the spin-down state. The potential is in a- direction, spin-up and spin-down states correspond to 2-component of the spin. 2. Imagine that you have measured a component of the spin in the x-direction and obtained value h/2. Find the probability distribution of the electron's coordinate right after this measurement.