In quantum mechanics, the probability of finding a particle z in domain [a, b] can be calculated from the following formula P(a < r< b) = [ p{z}dz ¤)dx where the probability density p(x) satisfies p(x) x 1/x for r € [1, e²] and being 0 elsewhere. Please determine the exact form of the probability density and calculate the probability of finding a particle in domain [1, 2].
In quantum mechanics, the probability of finding a particle z in domain [a, b] can be calculated from the following formula P(a < r< b) = [ p{z}dz ¤)dx where the probability density p(x) satisfies p(x) x 1/x for r € [1, e²] and being 0 elsewhere. Please determine the exact form of the probability density and calculate the probability of finding a particle in domain [1, 2].
Related questions
Question

Transcribed Image Text:In quantum mechanics, the probability of finding a particle æ in domain (a, b) can
be calculated from the following formula
P(a < # < b) = / Mla
p(x)dr
where the probability density p(a') satisfies p(x) « 1/x for æ e (1, e²) and being 0 elsewhere.
Please determine the exact form of the probability density and calculate the probability of
finding a particle in domain [1, 2).
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
