We had an entrance exam and in which there was a question that,
The smallest dimension of the Hilbert Space in which we can find operators $\hat{x}$, $\hat{p_{x}}$ that satisfy $[\hat{x},\hat{p_{x}}]=\iota\hbar$ is. I gave the answer as 1 but the answer is $\infty$. What is the concept behind it i don't know.
