-infinity and +infinity, as in the first formula (the orange background)kuruman said:
L? so would it be from 0 to L ?kuruman said:
The expectation value of an eigenvalue function is the average value that would be obtained if the eigenvalue function were measured multiple times. It represents the most likely outcome of a measurement on a quantum system.
The expectation value of an eigenvalue function is calculated by taking the inner product of the eigenvalue function with the state vector of the quantum system. This is then multiplied by the complex conjugate of the inner product, and the result is the expectation value.
Yes, the expectation value of an eigenvalue function can be negative. This can occur when the eigenvalue function has both positive and negative values, and the state vector of the quantum system has a higher probability of being in the negative region.
The expectation value of an eigenvalue function is related to the uncertainty principle in that it represents the most likely outcome of a measurement. The uncertainty principle states that it is impossible to know both the exact position and momentum of a quantum system, and the expectation value helps to quantify this uncertainty.
Yes, the expectation value of an eigenvalue function can change over time. This is because the state vector of a quantum system can change over time, resulting in a different inner product with the eigenvalue function and therefore a different expectation value.