1. The problem statement, all variables and given/known data Consider a particle that moves in one dimension. Two of its normalized energy eigenfunctions are [tex]\varphi_1(x) [/tex] and [tex] \varphi_2(x)[/tex], with energy eigenvalues [tex] E_1[/tex] and [tex] E_2[/tex]. At time t=0 the wave function for the particle is [tex]\phi[/tex]= [tex]c_1*\varphi_1+c_2*\varphi_2[/tex] and [tex] c_1[/tex] and [tex]c_2[/tex] a) The wave functions [tex] \phi(x,t)[/tex] , as a function of time , in terms of the given constants and initials condition. b) Find and reduce to the simplest possible form, an expression for the expectation value of the particle position, [tex] <x>=(\phi,x\phi) [/tex] , as a function , for the state [tex]\phi(x,t)[/tex] from part b. 2. Relevant equations 3. The attempt at a solution for part a, should i take the derivative of [tex]\phi[/tex] with respect to t?