Schrodinger's Equation & Measurement

StevieTNZ
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Hi there,

Ok, so if you know the interactions, etc., you can calculate from time0 the probabilities for certain results at say time8.

But say, however, we perform a measurement before time8. Will the original predictions for time8 still hold if a measurement is performed prior to that time? Or will it be different - in that case, what information do you need from the measurement, to plug into the unitary operator (which will include interactions, etc.) to find the new probabilities at time8?
 
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StevieTNZ said:
Hi there,

Ok, so if you know the interactions, etc., you can calculate from time0 the probabilities for certain results at say time8.

But say, however, we perform a measurement before time8. Will the original predictions for time8 still hold if a measurement is performed prior to that time? Or will it be different - in that case, what information do you need from the measurement, to plug into the unitary operator (which will include interactions, etc.) to find the new probabilities at time8?

The wave equation can be set up to be as complicated or simple as you like. It is possible to include variation of the equation over time, or make the simplifying assumption that nothing varies over time. It is up to you.
 
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If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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