Sunday 16 August 2015

quantum mechanics - How to get the position operator in the momentum representation from knowing the momentum operator in the position representation?


I know that


$$\tag{1}\hat{p}~=~-i\hbar \frac{\partial}{\partial x}~.$$


How can I get


$$\tag{2}\hat{x}~=~i\hbar \frac{\partial}{\partial p}~?$$


I think this simple and I'm just over thinking it, but knowing the momentum operator (1), how can I get the position operator (2)?




No comments:

Post a Comment

Understanding Stagnation point in pitot fluid

What is stagnation point in fluid mechanics. At the open end of the pitot tube the velocity of the fluid becomes zero.But that should result...