An operator having two normalized eigenstates indicates that it can yield one of two distinct measurement values when observed. This concept is fundamental in quantum mechanics, where operators represent physical observables. The normalized eigenstates ensure that the probabilities of measuring these values are well-defined and can be interpreted physically. Understanding this principle is crucial for grasping how measurements in quantum systems are conducted.
PREREQUISITESStudents of quantum mechanics, physicists, and anyone interested in the mathematical foundations of quantum theory and measurement processes.
It means that when you make the measurement corresponding to the operator you will measure one of two values.Slepton said:What does "an operator has two normalized eigenstates" mean ? Is there a way I can make a physical interpretation ?