Question: At a certain instant of time, a one-particle, one - dimensional system has = (2/b3)1/2xe-|x|/b, where b = 3.000 nm. If a measurement of

At a certain instant of time, a one-particle, one - dimensional system has Ψ = (2/b3)1/2xe-|x|/b, where b = 3.000 nm. If a measurement of x is made at this time in the system, find the probability that the result
(a) Lies between 0.9000 nm and 0.9001 nm (treat this interval as infinitesimal);
(b) Lies between 0 and 2 nm (use the table of integrals in the Appendix, if necessary).
(c) For what value of x is the probability density a minimum? (There is no need to use calculus to answer this.)
(d) Verify that Ψ is normalized.

Step by Step Solution

★★★★★

3.40 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 2 dx 2b 3 x2e 2xb dx 230 10 9 m 3 09010 9 m 2 e ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

959-P-M-A-M (359).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

The following are selected accounts and balances for Mergaronite Company and Hill, Inc., as of December 31, 2021. Several of Mergaronite's accounts have been omitted. Credit balances are indicated by...

Figure P4.35 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. At this instant, find (A) The radial acceleration, (b) The...

The temperature distribution across a wall 0.3 m thick at a certain instant of time is T(x) = a + bx + cx 2 , where T is in degrees Celsius and x is in meters, a = 200C, b = -200C/m, and c = 30C/m 2....

At a certain instant of time t', a particle has the state function = Ne-ar2Y12 (, ), where N and a are constants. (a) If L2 of this particle were to be measured at time t', what would be the...

1. In 2013, several data server companies took a dramatic decision to begin using energy surcharges to recapture rising energy costs. However, customers are critical of how the energy surcharges are...

Allegheny Ludlum Steel! Question: What is your overall evaluation of Allegheny Ludlum Steel's productivity improvement program? Discuss the productivity improvement program at Allegheny Ludlum in...

please quote for me what page number the idea below is from and quote the sentence or two that its similar to. -another alientation was how the specialist is upset due to the action of creation. In...

Deliverables: 2 x 500-700 word reflection. Linked learning outcomes: 1. Analyse the environments in which an accountant works 2. Develop personal professional skills and capabilities through the...

I need help with how to do a DCF analysis for this Spotify case. Please can you show the explanation of the steps Thank you A. Using the information provided, what should SPs shares be trading at on...

What might the company do to improve its competitive position? Describe options and the strategic advantage(s) of these options. Consider both competitive and cooperative options. What is your...

I've attached the assignment as a word file, thanks! You can use the class readings for this week's assignments. c05MerchandisingOperationsandtheMultiple-StepIncomeStatement.qxd 8/14/10 2:14 PM Page...

In November 2019, after discovering that her bookkeeper, Ponzi Madoff, had been defrauding her, Angela fired him and took over the bookkeeping responsibilities herself, despite having limited...

For a certain experiment, R-22 vapor is contained in a sealed glass tube at 20C. It is desired to know the pressure at this condition, but there is no means of measuring it, since the tube is sealed....

Select all that apply What can be purchased with a SNAP electronic benefit transfer card? Multiple select question. Cleaning supplies Food in a grocery store Garden seeds Hot meal in a group home...

1.- Consider the elliptic curve E: y2 x3 + x + 6 mod 11. a)Determine all the points of the curve. b) Consider the point G = (2,7). Compute all the multiples of G. c)What are the negatives of the...

Write a detailed and multiple valuations on TD bank stock Canada?

2. Consider the multivalued function 1/3 --1) f(2) (a) (5 points) Find a branch of f on the domain |z> 1 (b) (3 points) Determine the branch of f'(z) corresponding to your solution of part (a)

1. Determine all possible values of the following expressions (a) (2 points) log (i1) (b) (3 points) Log (Te101mi/4) (c) (3 points) tan(2i)

Tell the core values of responsible stewardship and integrity are relevant to accounting. Indicate in your analysis how these two core values are integral to the accounting profession and in...

Using the Hald cement data (Example 10.1), fi nd the eigenvector associated with the smallest eigenvalue of X X . Interpret the elements of this vector. What can you say about the source of...

A uniform solid sphere rolls down an incline. (a) What must be the incline angle if the linear acceleration of the center of the sphere is to have a magnitude of 0.109? (b) If a frictionless block...

A 140 kg hoop rolls along a horizontal floor so that the hoop's center of mass has a speed of 0.150 m/s. How much work must be done on the hoop to stop it?

A hollow sphere of radius 0.15 m, with rotational inertia 1 = 0.040 kg- m 2 about a line through its center of mass, rolls without slipping up a surface inclined at 30 to the horizontal. At a certain...

Provide a detailed explanation of the technical aspects of the ENIGMA machine, the historical developments of the machine, how its code was broken, and the impact it had on the advancement of...

1/How clarity, conformity and continuity of expression, can be applied in the context of P2P/Sharing economy industries such as i. e-commerce, ii. e-hailing and iii. hospitality/accommodation? Choose...

solve this question and explain how to solve it ( R studio is be allowed to use in this question) the data for the R studio Pounds 2.2 0.3 0.6 1.9 -1.2 0.1 -1.1 -1.2 1.1 2.7 1 -0.4 -0.2 0.1 -2 -2.8...