Let us say that I apply a non-unitary transformation $\def\ket#1{| #1\rangle} \def\braket#1#2{\langle #1|#2\rangle} \hat A$ to the ket's: $$\ket{\psi} \rightarrow \hat A \ket{\psi}$$ $$\ket{\phi}\rightarrow \hat A \ket{\phi}$$ Clearly in this case the probability: $$P=|\braket{\phi}{\psi}|^2$$ Will change. What physically is going on here? i.e. why for unitary operators we can perform such a transformation but for non-unitary operators we can't?
Subscribe to:
Post Comments (Atom)
-
cosmology - The difference between comoving and proper distances in defining the observable universe"The radius of the observable universe is estimated to be about 46.5 Gly." If I understand correctly, it means the most distant ob...
-
It is always told as a fact without explaining the reason. Why do two objects get charged by rubbing? Why one object get negative charge and...
-
Everyone always talks about the efficiency of their appliances. I was wondering if everything was 100% efficient at heating its surroundings...
No comments:
Post a Comment