A particle is bound between x = -L to x = L where L = 0.1...

A particle is bound between x = -L to x = L where L = 0.1 nm. The wave function is given by:

a) Find A

b) What is the probability of finding the particle between -0.05 nm and 0.05 nm?

Solutions

Expert Solution

#Hi, if you are happy and find this useful please thumbs up. In case, if you have any query regarding the solution please let me know in the comments section below. We can discuss. Thanks!!

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Bound state in potential. Where V(x)=inf for x<0 V(x)=0 for 0 ≤ x ≤ L V...

Bound state in potential. Where V(x)=inf for x<0 V(x)=0 for 0 ≤ x ≤ L V (x) = U for x > L Write down the Schrödingerequation and solutions (wavesolutions) on general form for the three V(x).

1. Consider a particle of mass m in a box of length L with boundaries at x...

1. Consider a particle of mass m in a box of length L with boundaries at x = 0 and x = L. At t = 0 the wavefunction is where A is the normalization constant. (a) Determine the basis eigen states for a particle in the box. (b) Determine the normalization constant A. (c) Determine the probability of finding the particle in the ground state at t ≠ 0. (d) Show that the sum of probabilities of finding the...

A 3kg particle moves along the X axis according to X(t) = 6t+3t2+2t3, where X is...

A 3kg particle moves along the X axis according to X(t) = 6t+3t2+2t3, where X is in meters and t is in seconds. What net force is acting on it at t = 3 s?

The position of a particle in cm is given by x = (3) cos 9?t, where...

The position of a particle in cm is given by x = (3) cos 9?t, where t is in seconds.

Consider a particle-in the box trial wavefunction φ(×)=x^α(L-x). Optimize the energy functional ε with respect to...

Consider a particle-in the box trial wavefunction φ(×)=x^α(L-x). Optimize the energy functional ε with respect to the adjustable parameter α.

Let X ∼ Normal(µ, 1). (a) Give an interval (L, U), where U and L are...

Let X ∼ Normal(µ, 1). (a) Give an interval (L, U), where U and L are based on X, such that P(L < µ < U) = 0.99. (b) Give an upper bound U based on X such that P(µ < U) = 0.99. (c) Give a lower bound L based on X such that P(L < µ) = 0.99.

A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2...

A particle moves with position r(t) = x(t) i + y(t) j where x(t) = 10t2 and y(t) = -3t + 2, with x and y in meters and t in seconds. (a) Find the average velocity for the time interval from 1.00 s to 3.00 s. (b) Find the instantaneous velocity at t = 1.00 s. (c) Find the average acceleration from 1.00 s to 3.00 s. (d) Find the instantaneous acceleration at t = 1.00 s.

Compute the area under y = √x between x = a and x = b where...

Compute the area under y = √x between x = a and x = b where a and b are user speciﬁed values obtained via cin. Account for invalid user input cases of a < 0 and a > b. For each case of invalid input, immediately output to the user what the error was. Allow the user a total of three chances to enter valid input for each input request. If the user enters incorrect input three times in...

(a) Prove that there are no degenerate bound states in an infinite (−∞ < x <...

(a) Prove that there are no degenerate bound states in an infinite (−∞ < x < ∞) one-dimensional space. That is, if ψ1(x) and ψ2(x) are two bound-state solutions of − (h^2/2m) (d^2ψ dx^2) + V (x)ψ = Eψ for the same energy E, it will necessarily follow that ψ2 = Cψ1, where C is just a constant (linear dependence). Bound-state solutions should of course vanish at x → ±∞. (b) Imagine now that our particle is restricted to move...

Consider the following production function: x = f(l,k) = lb kb where x is the output,...

Consider the following production function: x = f(l,k) = lb kb where x is the output, l is the labour input, k is the capital input, and b is a positive constant. Suppose b < 1/2. (a) Set up the cost minimization problem and solve for the conditional labour and conditional capital demand functions. Let w and r be the wage rate and rental cost of capital respectively. (b) Using your answer in (a), derive the cost function and simplify...

Subjects