Answered: Find the probabilities that a particle… | bartleby

Related questions

Question

Find the probabilities that a particle can be found between x = 0.45 and 0.55 when the particle in limited to the x axis and has wave function.

ψ = {ax, 0 ≤ x ≤ 1 ; 0, x< 0 and x >1.

Also find the average (expectation value) of x.

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A particle confined in a one-dimensional box of length L(<= X <= L) is in a state described by the wave function where **check attached image** where A and B are constants given by real numbers. A) Determine which relationship A and B must satisfy for the wavefunction to be normalized. B) Suppose that A = B. What is the probability of the particle being found in the interval 0 <= X <= L/2? C) What are the values of A and B that minimize the probability of finding the particle in the range of positions 0 <= X <= L/2?
Find the corresponding Schrödinger equation and wave function, The energy for the infinite-walled well problem of size L, The expected value of x (<x>) on the interval [0,a/4], The expected value of p (<p>) for the same interval and the probability of finding at least one particle in the same interval. Do not forget the normalization, nor the conditions at the border.
For a particle in a square box of side L, at what position (or positions) is the probability density a maximum if the wavefunction has n1 = 1, n2 = 3? Also, describe the position of any node or nodes in the wavefunction.
Consider the potential barrier problem as illustrated in the figure below. Considering the case where E > V0: (a) find the wave function up to a constant (that is, you don't need to compute the normalization constant) (b) Calculate the reflection coefficient of the wave function. This result is expected classically?
Show that the following wave function is normalized. Remember to square it first. Limits of integration go from -infinity to infinity. DO NOT SKIP ANY STEPS IN THE PROCEDURE
By employing the prescribed definitions of the raising and lowering operators pertaining to the one-dimensional harmonic oscillator: x = ħ 2mω -(â+ + â_) hmw ê = i Compute the expectation values of the following quantities for the nth stationary staten. Keep in mind that the stationary states form an orthogonal set. 2 · (â+ − â_) [ pm 4ndx YmVndx = 8mn a. The position of particle (x) b. The momentum of the particle (p). c. (x²) d. (p²) e. Confirm that the uncertainty principle is satisfied for all values of n
A particle with mass m is in the state .2 mx +iat 2h Y(x,t) = Ae where A and a are positive real constants. Calculate the expectation values of (x).
Needs Complete solution with 100 % accuracy.