Consider a harmonic oscillator in the quantum state4(x, 0) = A(41(x) + 42 (x))where:Vn(x)→ energy eigenfunctionEn → energy eigenvaluea) Determine |4'(x, t)|2 and simplify in terms of |ln(x)[².b) Determine the normalization constant A.c) What values will you get in multiples of hw and in what probabilities ifthe energy is measured at t=0?d) Determine the mean position < x >.

Consider a harmonic oscillator in the quantum state 4(x, 0) = A(41(x) + 42 (x)) where: Vn(x) → energy eigenfunction En → energy eigenvalue a) Determine |Y(x,t)|² and simplify in terms of |n (x)|². b) Determine the normalization constant A. c) What values will you get in multiples of hw and in what probabilities if the energy is measured at t=0?

Consider a harmonic oscillator in the quantum state 4(x, 0) = A(41(x) + 42 (x)) where: Vn(x) → energy eigenfunction En → energy eigenvalue a) Determine |Y(x,t)|² and simplify in terms of |n (x)|². b) Determine the normalization constant A. c) What values will you get in multiples of hw and in what probabilities if the energy is measured at t=0?