According to Stone-von Neumann theorem, any two canonically conjugate self adjoint operators following the relation: $$[\hat{q},\hat{p}]=ih/2π$$ cannot be both bounded. I am confused about how we prove this part and what does it mean physically? Can anyone explain?

According to Stone-von Neumann theorem, any two canonically conjugate self adjoint operators following the relation: $$[\hat{q},\hat{p}]=i\hbar$$ cannot be both bounded. I am confused about how we prove this part and what does it mean physically? Can anyone explain?

According to Stone-von Neumann theoram, any two canonically conjugate self adjoint operators following the relation: [p,q]=ih/2π cannot be both bounded. I am confused about how we prove this part and what does it mean physically? Can anyone explain?

According to Stone-von Neumann theorem, any two canonically conjugate self adjoint operators following the relation: $$[\hat{q},\hat{p}]=ih/2π$$ cannot be both bounded. I am confused about how we prove this part and what does it mean physically? Can anyone explain?