Schrodinger's Equation & Measurement

In summary, the conversation discusses the calculation of probabilities for certain results at a specific time, based on known interactions and measurements. It raises the question of whether performing a measurement before the predicted time will affect the original predictions, and if so, what information is needed to modify the unitary operator and find new probabilities at that time. The complexity of the wave equation is also mentioned as a factor in these calculations.
  • #1
StevieTNZ
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878
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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  • #2
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.
 

Related to Schrodinger's Equation & Measurement

1. What is Schrodinger's equation?

Schrodinger's equation is a fundamental equation in quantum mechanics that describes how a quantum system evolves over time. It is an equation that describes the wave function of a quantum system, which contains all the information about the system's physical state.

2. What does Schrodinger's equation govern?

Schrodinger's equation governs the behavior of particles on the atomic and subatomic level. It is used to describe the motion and interactions of quantum objects, such as electrons, atoms, and molecules.

3. How does Schrodinger's equation relate to measurement?

Schrodinger's equation plays a crucial role in the process of measurement in quantum mechanics. It describes the evolution of the wave function, which represents the probability of finding a particle in a particular state. When a measurement is made, the wave function collapses to a specific state, and Schrodinger's equation is used to calculate the probability of obtaining that measurement result.

4. Why is Schrodinger's equation important?

Schrodinger's equation is essential because it provides a mathematical framework for understanding the behavior of quantum systems. It allows scientists to make predictions about the behavior of particles at the atomic and subatomic level, which is crucial for many technological advancements, such as developing new materials and technologies.

5. Is Schrodinger's equation the only equation used in quantum mechanics?

No, there are other equations used in quantum mechanics, such as the Heisenberg uncertainty principle, the Pauli exclusion principle, and the Dirac equation. However, Schrodinger's equation is one of the most fundamental and widely used equations in quantum mechanics.

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