Consider a particle of mass m in a one-dimensional potential energy v(x)-kx y (x,0)-ays(x) + 2a explo) 414(x) + 3a expl-іфі y/3(x) for t-0, where a and ф are positive real constants, and v (x) denotes the (n+1)" owest energy eigenstate. suppose the wave function for the system at time t-o is a) find a b) what is the expression for (x, t)? c) what is the expectation value of the energy of this system at time t? d) without doing any integrals demonstrate whether is a function of time and at what frequency ω! (or frequencies) it oscillates what frequency o2 (or frequencies) it oscillates. what frequency os (or frequencies) it oscillates. e) without doing any integrals demonstrate whether is a function of time and at f) without doing any integrals demonstrate whether is a function of time and at