- #1

- 366

- 11

## Homework Statement

(f) At t = 0, a particle of mass m trapped in an infinite square well of width L is in a superposition of the first excited state and the fifth excited state, ψs(x, 0) = A (3φ1(x) − 2iφ5(x)) , where the φn(x) are correctly-normalized energy eigenstates with energies En. Which of the following values of A give a properly normalized wavefunction? ##\frac { 1 }{ \sqrt { 5 } }## ##\frac { i }{ 5 } ## ##\frac { i }{ \sqrt { 13 } }## ##\frac { 1 }{ 13 } ## None of these

## Homework Equations

A normalized wave function: ##A^{ 2 }\sum _{ i }{ a^{ * }_i a_i } =1##.

## The Attempt at a Solution

Since, ##\sum _{ i }{ a^{ * }_{ i }a_{ i } } =9-4=5##, ##A=\frac { 1 }{ \sqrt { 5 } } ##.

Does this look correct?

Thnx,

Chris