Use the eigenfunction (x) = Ae +ikx + Be ikx rather than (x) = A
Question:
Use the eigenfunction ψ (x) = A′e+ikx + B′e−ikx rather than ψ (x) = A sin kx + B cos kx to apply the boundary conditions for the particle in the box.
a. How do the boundary conditions restrict the acceptable choices for A′ and B′ and for k?
b. Do these two functions give different probability densities if each is normalized?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 84% (13 reviews)
a Therefore This leads to the same condition on k namely k a n The amplitude is now 2iA rather th...View the full answer
Answered By
Amar Kumar Behera
I am an expert in science and technology. I provide dedicated guidance and help in understanding key concepts in various fields such as mechanical engineering, industrial engineering, electronics, computer science, physics and maths. I will help you clarify your doubts and explain ideas and concepts that are otherwise difficult to follow. I also provide proof reading services. I hold a number of degrees in engineering from top 10 universities of the US and Europe.
My experience spans 20 years in academia and industry. I have worked for top blue chip companies.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
A stationary-state wave function is an eigenfunction of the Hamiltonian operator H = T + V. Students sometimes erroneously believe that c is an eigenfunction of T and of V. For the ground state of...
-
a. Show that (x) = e x2/2 is an eigenfunction of A = x 2 2/x 2 b. Show that B (x), (where B = x /x) is another eigenfunction of A.
-
True or false? (a) The state function is always equal to a function of time multiplied by a function of the coordinates. (b) In both classical and quantum mechanics, knowledge of the present state of...
-
The current Occupational Safety and Health Administration (OSHA) ceiling limit for H 2 S is up to 20 ppm for general industry. If the H 2 S meter reads 35 mg/m 3 , is this level above or below the...
-
1.Ship A is 3 miles east and 4 miles north of port. Ship B is 5 miles west and 2 miles north of port (see figure). (a) Using the positive imaginary axis as north and the positive real axis as east,...
-
In how many ways can 4 out of 11 similar propellers be fitted on an airplane?
-
Your client, Special Cases, Inc., took its physical inventory at November 30, one month before its December 31, year-end. The client compiled the inventory as of November 30 and "carriedforward" the...
-
Disney Amusement Park has a fiscal year ending on September 30. Selected data from the September 30 worksheet are presented below. Instructions(a) Prepare a complete worksheet.(b) Prepare a...
-
How does Ford Motor Company epitomize the 6 elements of a learning organization? How might it incorporate any missing elements or improve some weaker elements to be a stronger learning organization?...
-
Solve the following proportions for the unknown quantities 8500:x:y = 1.3:1:1.6
-
Are the total energy eigenfunctions for the free particle in one dimension, + (x) A + e +i(2mE/h2)x and (x) A e i(2mE/h2)x eigenfunctions of the one-dimensional linear momentum operator? If so,...
-
Consider a particle in a one-dimensional box defined by V (x) = 0, a > x > 0 and V (x) = , x a, x 0. Explain why each of the following un-normalized functions is or is not an acceptable wave...
-
Evaluate 2 sin x cos*x dx.
-
1. The Jackson-Timberlake Wardrobe Co. just paid a dividend of $1.95 per share. The dividends are expected to grow at a constant 5% per year. If investors require an 11% return, what is the current...
-
An asset manager responsible for a portfolio of agricultural commodities expects to buy 2200kg of wheat within 1 month. Historical standard deviations of wheat spot price and wheat 1-month futures...
-
Assume a company has the following: EBIT = $50,400; Depreciation Expense = $4,800; Interest Expense = $7,200; Taxes = $9,600. What is this company's operating cash flow?
-
A company is considering a 4-year project that would require a $220,000 up-front investment in net working capital. The project is expected to generate annual before-tax cost savings of $750,000....
-
A company is considering a project that is expected to generate cost savings. The project would require the purchase of an asset for $1,600,000. Assume the following: Present Value of Salvage Value =...
-
Use U universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 3, 4, 5, 9}, and C = {1,3,4,6} to find the set. A C
-
Assume Eq. 6-14 gives the drag force on a pilot plus ejection seat just after they are ejected from a plane traveling horizontally at 1300 km/h. Assume also that the mass of the seat is equal to the...
-
The average spacing between the rotational lines of the P and R branches of 12 C 2 1 H 2 and 12 C 2 2 H 2 is 2.352 cm 1 and 1.696 cm 1 , respectively. Estimate the CC and CH bond lengths.
-
What is the ratio of weights of populations due to the effects of nuclear statistics for 35 Cl 2 ?
-
The rotational terms of a symmetric top, allowing for centrifugal distortion, are commonly written (a) Develop an expression for the wavenumbers of the allowed rotational transitions. (b) The...
-
Discuss the dynamic organization of the cytoskeleton and its pivotal role in cellular motility, intracellular transport, and structural integrity .
-
Would you support the idea of a government issued Digital currency? Why ? and why not?
-
To protect her savings against further inflation and to help her prepare for a healthy financial future, Hanna Lind deposits $9,100 in an investment account earning 6% interest compounded quarterly....
Study smarter with the SolutionInn App