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esradw
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According to Shrodinger Equation, The state function must change with time, soI wonder how do we know that after we normalize this state function, it will stay normalized ?
Thanks
Thanks
A state function is a mathematical function that describes the state of a physical system. It is used in quantum mechanics to represent the state of a particle or system, and it contains all the information needed to predict the behavior of the system.
Normalization is important for a state function because it ensures that the total probability of finding a particle in any possible state is equal to 1. This is necessary for the function to accurately represent the state of the system and make meaningful predictions.
To normalize a state function, we divide the function by the square root of the integral of the function multiplied by its complex conjugate. This ensures that the total probability is equal to 1.
If a state function is not normalized, it means that the total probability of finding a particle in any possible state is not equal to 1. This can lead to incorrect predictions and is not a valid representation of the state of the system.
No, a state function will always remain normalized as long as the system is isolated and not affected by external factors. However, if the system is disturbed or measured, the state function may change and need to be renormalized to accurately represent the new state of the system.