Mathematics, 15.04.2020 02:59 officialrogerfp3gf2s
If a particle conned to move in one dimension has wavefunction ψ(x), then the probability of nding it between any two points x1 and x2 is: P(x1, x2) = ˆx2 x1 dx |ψ(x)| 2 Calculate the probability of nding a particle between x1 = 0 and x2 = a/3 for the ground-state of a one-dimensional rigid box of size a. [Hint: the calculation involves an integral of the function sin2 θ. Use the identity 2 sin2 θ = 1 − cos 2θ.]
Answers: 3
![P(0,a/3)=(\frac{2}{a})(\frac{1}{2})\int_{0}^{\frac{a}{3}}(1-cos(\frac{2\pi x}{a}))dx\\\\P(0,a/3)=(\frac{2}{a})(\frac{1}{2})[\frac{a}{3}-(\frac{a}{2\pi})sin(\frac{2\pi (a/3)}{a})]\\\\P(0,a/3)=(\frac{1}{a})[\frac{a}{3}-(\frac{a}{2\pi})(\frac{\sqrt{3}}{2})]=\frac{1}{3}-\frac{\sqrt{3}}{4\pi}](/tpl/images/0600/9376/f2895.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 13:40, jonmorton159
Although changes result from business transactions, the equality of the fundamental bookkeeping equation must remain. t/f
Answers: 2
Mathematics, 21.06.2019 18:00, mattsucre1823
Adriveway is 40 yards long about how many meters long is it
Answers: 2
Mathematics, 21.06.2019 19:00, ethangeibel93
In a class, there are 12 girls. if the ratio of boys to girls is 5: 4 how many boys are there in the class
Answers: 1
Mathematics, 21.06.2019 22:00, jessejames48
The coordinates r(1, -3), s(3, -1) t(5, -7) form what type of polygon? a right triangle an acute triangle an equilateral triangle an obtuse triangle
Answers: 1
You know the right answer?
If a particle conned to move in one dimension has wavefunction ψ(x), then the probability of nding i...
Questions in other subjects:
Biology, 18.03.2021 01:40
History, 18.03.2021 01:40
Health, 18.03.2021 01:40
Mathematics, 18.03.2021 01:40
Mathematics, 18.03.2021 01:40
Mathematics, 18.03.2021 01:40
