Thanks. So the Born rule and Born's ##\psi## interpretation are two different things?(Sorry I can't visit wiki )kith said:No, the probabilities for the different measurement outcomes are part of a another postulate which is called the Born rule.
Why do you say they are the same? Born rule is for measurement, while the Born's ##\psi## interpretation is for the probability distribution in the space of particles(which has nothing to do with measurement). Shouldn't they have nothing to do with each other?kith said:No, they are the same (or at least closely related).
That's not correct. There isn't a probability distribution independent of measurements in QM. ##|\psi(x)|^2## being a probability density is just the Born rule in the special case of position being measured.thaiqi said:Born rule is for measurement, while the Born's ##\psi## interpretation is for the probability distribution in the space of particles(which has nothing to do with measurement).
Sorry I don't understand this question.kith said:What is this thread about?
thaiqi said:Sorry I don't understand this question.
Are there any exercises examples that use this projection postulate and need to use Born rule when computing?PeterDonis said:His question means that we don't understand what your issue is.
thaiqi said:Are there any exercises examples that use this projection postulate and need to use Born rule when computing?
PeterDonis said:Have you tried looking in textbooks on QM? They have lots of exercises.
thaiqi said:I found two
The wave-function collapse is a fundamental concept in quantum mechanics that refers to the sudden transition of a quantum system from a superposition of multiple states to a single definite state when it is observed or measured.
The wave-function collapse affects probability by determining the likelihood of a quantum system being in a particular state after it has been observed. The collapse of the wave-function results in the system being in a single state, which then determines the probability of obtaining a specific measurement.
No, the wave-function collapse is a random and unpredictable process. According to the Copenhagen interpretation of quantum mechanics, the outcome of a measurement is determined by a probabilistic distribution, and it is impossible to predict which state the system will collapse into.
Yes, the wave-function collapse occurs every time a measurement is made on a quantum system. This is because the act of measurement involves interacting with the system, which causes it to collapse into a single state.
The observer plays a crucial role in the wave-function collapse. According to the Copenhagen interpretation, the collapse occurs due to the interaction between the observer and the quantum system. Therefore, the observer's presence and actions are essential in determining the outcome of a measurement.