How to Estimate Transition Probability

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Estimating transition probability will require you to think about a quantum mechanical system. Estimate transition probability with help from an experienced math professional in this free video clip.

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Hi. I'm Ryan Ault. I'm a physicist and this is how to estimate transition probability. When we speak of transition probability we're actually thinking about a quantum mechanical system. So if we have something in state 1 we can estimate the probability that it will transition to state 2. Now the equation, transition probability from 1 to 2 can actually be written as some matrix element, 1, v 2 multiplied by the density of states and that is multiplied by 2 Pi over h bar. So you're probably wondering what these are. So the first thing is just the matrix element and it's a measure of how much of state 1 is coupled with state 2. And what this means is how much they influence each other. The closer 2 quantum particles are allowed to approach one another the more influence they have on each other. So this is really just a measure of that. The next one's the density of states. And this is simply the number of states per unit energy level. And the last one is simply 2 Pi over h bar. H bar is plunks constant. So calculating each one of these separately we can find the transition probability going from state 1 to state 2. I'm Ryan Ault and this is how to estimate transition probability.

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