Question
Physical Chemistry Question on Atomic Structure
Consider the wavefunction 𝜓(𝑥) = 𝑁[exp(𝑖𝑘𝑥) + exp(−𝑖𝑘𝑥)]. The complex conjugate 𝜓 ∗ (𝑥) is [Given: 𝑁 is the normalization constant; 𝑖=−1]
A
𝑁[exp(−𝑖𝑘𝑥) − exp(𝑖𝑘𝑥)]
B
𝑁∗[exp(−𝑖𝑘𝑥) − exp(𝑖𝑘𝑥)]
C
𝑁∗[exp(𝑖𝑘𝑥) + exp(−𝑖𝑘𝑥)]
D
2𝑁[sin(𝑘𝑥)]
Answer
𝑁∗[exp(𝑖𝑘𝑥) + exp(−𝑖𝑘𝑥)]
Explanation
Solution
The correct option is (C): 𝑁∗[exp(𝑖𝑘𝑥) + exp(−𝑖𝑘𝑥)]