Show that the energy eigenvalues for the free particle, E = h 2 k 2 /2m, are
Question:
Show that the energy eigenvalues for the free particle, E = h2k2/2m, are consistent with the classical result E = (1/2)mv2.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
E 12mv 2 p 2 2m From the de Brog...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
Show that the energy E (in electron volts) of a photon whose wavelength is λ (nm) is given by 1.240 x 10 eV nm A (nm)
-
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,...
-
The creation and study of new elementary particles is an important part of contemporary physics. Especially interesting is the discovery of a very massive particle. To create a particle of mass M...
-
Lewis and Associates has been in the termite inspection and treatment business for five years. The following is a list of accounts for Lewis on June 30, 2017. It reflects the recurring transactions...
-
The figure shows onw of the fourth roots of a complex number z. (a) How many roots are not shown? (b) Describe the other roots. Imaginary axis 30 Real axis
-
A \(5,0-\mathrm{kg}\) hollow cylinder of radius \(0.25 \mathrm{~m}\) rotates freely about an axle that runs through its center and along its long axis. A cord is wrapped around the cylinder and is...
-
How do patterns relate to reuse?
-
Michelle Gutierrez, manager of the Components Division of FX Corporation, is considering a new investment for her division. The division has an investment base of $4,000,000 and operating income of...
-
2. Find the worst-case time complexity of the OpenMystery algorithm below. Input: n: positive integer 1 Algorithm: OpenMystery 2 Let open be a Boolean array of size n 3 Initialize open to false 4...
-
Figure 5.3 illustrates the Bayesian belief network for the data set shown in Table 5.3. (Assume that all the attributes are binary). (a) Draw the probability table for each node in the network. (b)...
-
It is useful to consider the result for the energy eigenvalues for the one-dimensional box E n = h 2 n 2 /8ma 2 n = 1, 2, 3 , . . . as a function of n, m, and a. a. By what factor do you need to...
-
a. Show by substitution into Equation (15.19) that the eigenfunctions of HË for a box with lengths along the x, y, and z directions of a, b, and c, respectively, are b. Obtain an expression for...
-
On June 30, 2005, Martin Hendrickson and Solveig Hendrickson were married, and on January 3, 2006, a home previously owned by Martin was conveyed to them as joint tenants and not as tenants in...
-
Sometimes analysts use the price of specific products in different locations to compare currency valuation and purchasing power. For example, The Economists Big Mac Index compares the purchasing...
-
You work in the sales department of a company that manufactures and sells medical implants. A Brazilian company contacted your department and expressed interest in purchasing a large quantity of your...
-
Reread the Management Focus IKEA Production in China, and then answer the following questions: a. What are the benefits to IKEA of shifting so much of its global production to China? b. What are the...
-
The globalization of production makes many people aware of the differences in manufacturing costs worldwide. The U.S. Department of Labors Bureau of International Labor Affairs publishes the...
-
Royal Dutch Shell is a British-Dutch multinational oil and gas company, founded in 1907, that is headquartered in the Netherlands and incorporated in the United Kingdom. The company is one of the...
-
Convert each temperature as indicated. When appropriate, give your answer to the nearest tenth of a degree. -20F = _________ C.
-
Evaluate how many lines there are in a true rotational spectrum of CO molecules whose natural vibration frequency is w = 4.09 1014 s1 and moment of inertia I = 1.44 1039 g cm2.
-
Describe the various types of hybrid orbitals and how they are used to describe the bonding in alkanes, alkenes, and alkynes. How does hybridization explain that in allene, CH 2 =C=CH 2 , the two CH...
-
What is the role of the BornOppenheimer approximation in molecular orbital theory?
-
Show that two equivalent hybrid orbitals of the form sp make an angle to each other, then = 1/cos . Plot a graph of against and confirm that = 180 when no s orbital is included and = 120 when ...
-
Blair, CPA, uses the cash receipts and disbursements method of reporting. In Year 7, a client gave Blair 100 shares of a listed corporation's stock in full satisfaction of a $5,000 accounting fee the...
-
What is driving the increase in the price of healthcare services today? Explain why it is important to know the scope of business being reviewed when using financial statements. Explain the content...
-
What is a discount? How do you activate discounts? Activate discounts: Assign a discount account: 3. Discounts Given - What is the account type and detail type for this account?
Study smarter with the SolutionInn App