State/wave function after measurement?

In summary, the new wave function after measuring an observable is the eigenfunction of the observable corresponding to the measured value. However, it does not stay in this state indefinitely and will evolve according to the Schrodinger equation with this state as the initial condition.
  • #1
z00maffect
5
0
If i already know the wave function then measure an observable what is the new wave function?

Is it just the eigenfunction of the observable corresponding to the measured value?

And does it stay in this state until something interacts with it?
 
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  • #2
z00maffect said:
If i already know the wave function then measure an observable what is the new wave function? Is it just the eigenfunction of the observable corresponding to the measured value?
Yes, at least according to the simplest measurement model.

z00maffect said:
And does it stay in this state until something interacts with it?
No, it evolves according the the Schrodinger equation with this state as the initial condition.
 
  • #3
ahh yes of course, much thanks
 

FAQ: State/wave function after measurement?

What is the state/wave function after measurement?

The state or wave function after measurement refers to the quantum state of a system after it has been observed or measured. It is a mathematical representation of the probability of finding a particular value for a physical property of the system.

How is the state/wave function affected by measurement?

The state or wave function is affected by measurement in that it collapses into one of the possible states determined by the measurement. This is known as the "collapse of the wave function" and it represents the transition from a probabilistic state to a definite state.

Can the state/wave function after measurement change?

Yes, the state or wave function after measurement can change depending on the specific properties being measured and the measurement process itself. In some cases, the measurement can cause the system to evolve into a different state or wave function.

How does the state/wave function after measurement relate to uncertainty?

The state or wave function after measurement can help to reduce uncertainty about the state of a system. By measuring certain properties, the state can become more defined and less probabilistic, reducing the uncertainty of the system's state.

What is the significance of the state/wave function after measurement in quantum mechanics?

The state or wave function after measurement is a fundamental concept in quantum mechanics. It represents the connection between the quantum world of probabilities and the classical world of definite outcomes. It also plays a crucial role in understanding how measurements affect quantum systems and how they evolve over time.

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