- #1
Chuckstabler
- 31
- 1
Hey all,
Here's my question : Given X is the position of a particle at time T, how would I go about finding the probability of finding said particle at any given position if i randomly pick a time out of the interval T1 to T2?
Let's say that my X(t) = cos(t). How can I find the probability of observing the value of X(t) to be equal to some value X if i randomly select a value for time from my interval T1<T<T2?
This is kind of inspired by quantum physics; in particular the time independent solutions to the shrodinger wave equation for a harmonic oscillator. Thanks :)
Here's my question : Given X is the position of a particle at time T, how would I go about finding the probability of finding said particle at any given position if i randomly pick a time out of the interval T1 to T2?
Let's say that my X(t) = cos(t). How can I find the probability of observing the value of X(t) to be equal to some value X if i randomly select a value for time from my interval T1<T<T2?
This is kind of inspired by quantum physics; in particular the time independent solutions to the shrodinger wave equation for a harmonic oscillator. Thanks :)