The figure below shows a wave function describing a particle in an infinite square well.This wave-function is normalized.=x1 D andDetermine the probability of finding the particle betweenx2 D D with D thedistance between the walls of the well. Enter a number in the box below to 2 significantfigures.Probability =Pick an alternative set of points x1 and x2 such that the probability of finding the particlebetween them is the same as the probability you determined above. State the answers asfractional values of D by entering an integer number in each of the boxes below. Notethat if you wish to enter integer multiples of D (e.g. OD or 1D) then enter these as Dand D.x1andx2

Step 1: Probability Step 2: calculation of X1 and X2

Answered: The figure below shows a wave function…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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?
2i+1 i+1 |- +> + 3 [recall, |+ -> means that particle #1 is in the |+> state (usual Z basis) and #2 is in the |-> state.] A) Show that this state is already normalized. B) Is this state separable or entangled? C) A measurement of S, is made on particle #1. What are the possible results and with what probabilities? D) A measurement of Sz is made on particle #2. What are the possible results and with what probabilities? E) Calculate the expectation value of the correlation function between these two measurements . (Don't use matrices -- use probabilities!)
QUESTION 1 The expectation value is the strict average of the possible values. O True False
At what displacements is the probability density a maximum for a state of a harmonic oscillator with v = 3?
A particle is confined to a one dimensional box with boundaries at x=0 and x-1. The wave function of the particle within the box boundaries is V(x) 2100 (- x + ) and zero V 619 everywhere else. What is the probability of finding the particle between x=0 and x=0.621? Do not enter your final answer as a percentage, but rather a number between 0 and 1. For instance, if you get that the probability is 20%, enter 0.2.
Consider the wavefunction for a particle in a one-dimensional box when the level is n = 6. Calculate the total probability of finding the particle between x = 0 and x = L/12? Provide your answer to three significant figures.
A particle with mass 2.5 × 10^(-27) kg and energy 4.0 eV approaches a potential barrier with a height of 2.5 eV and a width of 1.0 nm. Calculate the probability of the particle tunneling through the barrier.
The wave function W(x,t)=Ax^4 where A is a constant. If the particle in the box W is normalized. W(x)=Ax^4 (A x squared), for 0<=x<=1, and W(x) = 0 anywhere. A is a constant. Calculate the probability of getting a particle for the range x1 = 0 to x2 = 1/3 a. 1 × 10^-5 b. 2 × 10^-5 c. 3 × 10^-5 d. 4 × 10^-5
what is the difference between a state function and a path function and what are two examples of each?
A particular two-level quantum system has two eigenstates given by Ig) := (9) le) := (¿) where |g) is the ground state and le) is the excited state. The Hamiltonian operator is given by Îû = () O A a. Write down the density matrix and calculate for the partition function. b. Calculate for the mean energy of the system. c. Calculate for the expectation value of the operator 1 0 0-1
If the Probability of each of the steps of the drunk man is equal (p = q = 1/2) obtain the Probability that act of 5 steps 3 of them would be to the right. . Calculate the relative width for random walk problem. if the total number of steps is N = 25 a. for equal number of steps to the right and left side (p = q) . b. for p = 0.4 , q = 0.6
For a particle in a one-dimensional box, - calculate the probability of finding a particle in the second and third quarters of the box. - What is this quantity for the fourth quarter?

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