The value of x where the particle is most likely to be found.

Question

Consider the wave function phi(x) = A sin(kx) where k = 2pi/lambda and A is a real constant. (a) What are the values of x that have the highest probability of finding the particle described by this wave function? (b) What are the values of x that have zero probability of finding the particle described by this wave function?

Answer 1

Question

Chapter 41.1, Problem 41.1QQ

To determine

The value of x where the particle is most likely to be found.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Students have asked these similar questions

Consider the wave function phi(x) = A sin(kx) where k = 2pi/lambda and A is a real constant. (a) What are the values of x that have the highest probability of finding the particle described by this wave function? (b) What are the values of x that have zero probability of finding the particle described by this wave function?

At time t = 0 the wave function for a particle in a box is given by the function in the provided image, where ψ1(x) and ψ1(x) are the ground-state and first-excited-state wave functions with corresponding energies E1 and E2, respectively. What is ψ(x, t)? What is the probability that a measurement of the energy yields the value E1? What is <E>?

What is the probability of finding a particle in the last 10% of a one-dimensional box for n = 1 state? Find the solution(s) to the differential equations: a. y''(x) + y'(x) - 6y(x) = 0 and b. y''(x) - 4y'(x) + 4y(x) = 0.