Show that the energy eigenvalues for the free particle, E h 2 k 2 2m, are consistent with the classical result E (1 2)mv 2 ...

E 12mv 2 p 2 2m From the de Brog ...

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:

Related Book For book-img-for-question

Physical Chemistry

ISBN: 978-0321812001

3rd edition

Authors: Thomas Engel, Philip Reid

See More Books

Question Posted: May 17, 2018 01:16 AM

See More 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
Use the data in the file named Stock.xlsx to construct histograms for monthly returns for GE and Intel. A 49 50 51 Date B Microsoft GE min max Intel D E F -0.240320429 -0.202509 0.276619107 0.338983...
What suggestions have researchers provided for measuring the effectiveness of networks? LO.1
Consider the sales data for Computer Success given in Problem 7. a. Use a 3-month weighted moving average to forecast the sales for the months April through December. Use weights of (4/8), (3/8), and...
The following transactions occurred during March 2024 for the Wainwright Corporation. The company owns and operates a wholesale warehouse. Issued 32,000 shares of common stock in exchange for...
A ball is projected with velocity vo = Vgh at an angle '0' to the horizontal towards a vertical smooth wall distant 'd' from the point of projection. After collision the ball returns to the point of...
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...
Discuss the differences of the concepts of company, business and business combination within the context of IFRS 3.
Perhaps we need a way to differentiate ourselves from the competition? Is it possible that we are dividing the customer's time too much? Does this mean that we should instead look to attract more...
Complete these answers with full paragraph sentences. 1)What are the Mission, Vision, & Values of the Palo Alto Network? 2) What are the Four Functions of Management Planning, Organizing, Leading, &...
One highly visible trait of a successful leader is that of role model: behavior exhibited by a leader is carefully observed and often sets the tone for the entire center. As a role model, it is...
Design a flowchart that illustrates the key processes and decision points within the custom leadership system, along with the various inputs and outputs. At the center of the flowchart is the leader,...
Prepare a sample memo to those that have been selected to serve on the "Bulletin 1" committee. Remind them of their charge and outline a calendar of meetings. Lastly, include a list of resources. ...
Prior to analyzing the reasonableness of the clients warranty expense and accrued liability, please consider whether any of the following potential issues with the Warranty Claim 2023 database exist....
Draw a Feynman diagram for the reaction n + v p + .
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 ...
You are evaluating a new project for the firm you work for, a publicly listed firm. The firm typically finances new projects using the same mix of financing as in its capital structure, but this...
state, "The subscription price during a rights offering is normally r; lower ; lower r; higher er; higher than the rights-on price and
Arnold inc. is considering a proposal to manufacture high end protein bars used as food supplements by body builders. The project requires an upfront investment into equipment of $1.4 million. This...

Show that the energy eigenvalues for the free particle, E = h 2 k 2 /2m, are

Question:

Step by Step Answer:

E 12mv 2 p 2 2m From the de Brog...View the full answer

Physical Chemistry

Students also viewed these Sciences questions