Quantum Equations: Exploring Predictions in Research

[stef3679]

TL;DR Summary

How to use quantum mechanics' equations for predictions?

Hello,
I was always wondering how in research centres scientists are able to apply quantum mechanics' equations to predict an outcome. I mean, let's say you do an experiment and then collect the results, how can someone use quantum mechanics to predict the outcome ,if he can? For example,in semiconductors they've used Quantum mechanics to predict the outcome. Maybe this is a silly question,but I don't know the answer. All answers greatly appreciated,thank you!

 

[PeroK]

Summary: How to use quantum mechanics' equations for predictions?

Hello,
I was always wondering how in research centres scientists are able to apply quantum mechanics' equations to predict an outcome. I mean, let's say you do an experiment and then collect the results, how can someone use quantum mechanics to predict the outcome ,if he can? For example,in semiconductors they've used Quantum mechanics to predict the outcome. Maybe this is a silly question,but I don't know the answer. All answers greatly appreciated,thank you!

In principle, QM is no different in this respect from any other branch of physics. You have a system modeled by QM. The mathematics of QM implies (or predicts) something about that system. You run an experiment to see what happens. And, if the experiment and the theory match then all well and good.

For example, QM can model a hydrogen atom and predicts that the binding energy is $13.6 eV$. You then do an experiment to ionise a hydrogen atom and if it takes $13.6 eV$ to achieve this then experiment matches theory.

 

[HallsofIvy]

Are you asking, "If quantum mechanics is statistical, so you can only calculate the probability of a given outcome, how do they no if an experiment gives a valid result?"

If so then the answer is that they repeat the experiment many times, interpreting the results statistically.

 

[stef3679]

All of you covered me with your answers thank you very much!