a. Show by substitution into Equation (15.19) that the eigenfunctions of HË for a box with lengths

Question:

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 E_nx, n_y, n_z in terms of n_x, n_y, n_z, and a, b, and c.

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 01:18 AM

See More Questions

Consider the contour plots of Problem P15.17. a. What are the most likely area or areas Îx Îy to find the particle for each of the eigenfunctions of HË depicted in plots af? b. For...
For the linear strain tetrahedral element shown in Figure P11-9, (a) express the displacement fields u, v, and w in the x, y and z directions, respectively. There are 10 nodes each with three...
(a) In Ex. 12.6 we found how velocities in the x direction transform when you go from S to S. Derive the analogous formulas for velocities in the y and z directions. (b) A spotlight is mounted on a...
The dimension of a services cape where the background characteristics of the environment that are meant to satisfy our five senses and include things such as temperature, lighting, noise, music, and...
Ohm's law for alternating current circuits is E = IZ, where E is the voltage in volts, I is the current in amperes, and Z is the impedance in ohms. Each variable is a complex number. (a) Write E in...
In Exercises 58 through 61, use the method of Lagrange multipliers to find the indicated maximum or minimum. You will need to use the graphing utility or the solve application on your calculator....
How would you describe the findings of at least one important piece of research on achieving high-performance in public organizations? What are its implications for the practice of public management?...
On January 1, 2010, Point Corporation acquired an 80% interest in Sharp Company for $2,000,000. At that time Sharp Company had capital stock of $1,500,000 and retained earnings of $700,000. The book...
pE On Juse 1, total Owner Equity for Xxay$16.835 Daring aC earned reventue of 814,385, e incurred expetuses of 99,4 borrowed $1,568 from the bank Owners' Equity on June 30 w
Apple Corps Limited was founded in 1968 by members of the UK band, The Beatles John Lennon, Paul McCartney, George Harrison, and Ringo Starr. The corporation is privately- held by the four, 1968...
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 .
Calculate the wavelength of the light emitted when an electron in a one-dimensional box of length 5.0 nm makes a transition from the n = 7 state to the n = 6 state.
The electronic components used to assemble a cellular phone have been exceptionally reliable, with more than 99.9% working correctly. The head of procurement believes that the current supplier meets...
We are writing a business plan about expanding Robinson Development Group's business into Mexico. They do residential as well as business development in Virginia and have branched out on the East...
Political ideologies can influence trade. Although Russia's constitution lists it as a Federal Democratic State, many news outlets call it a "Fake Democracy". Now that Russia has invaded Ukraine, the...
A facultative oxidation pond is to be designed for a community of 5000 people. Summer wastewater flow is 2000 m 3 /d, and the BOD 5 is 180 g/m 3 . Winter flow and BOD 5 values are 6000 m 3 /d and 90...
Watch the video "Black Diamond: Managing in a Global Environment" https://youtu.be/lc29Ro9TOKg Describe at least two environmental factors that affect this business and summarize how the managers are...
In social media, one size does not fit all. Social media includes traditional platforms such as Facebook and Instagram, but it also includes podcasts, blogs, and video mediums. Each platform and...
Which of the following is correct regarding including client data in audit documentation for an issuer? a. Analyzing trends in inventory costs. b. Identifying sales that did not follow the typical...
Making use of the tables of atomic masses, find the velocity with which the products of the reaction B10 (n, ) Li7 come apart; the reaction proceeds via interaction of very slow neutrons with...
Why are promotion and hybridization invoked in valence-bond theory?
Outline the rules of the building-up principle for homonuclear diatomic molecules.
Suppose that a molecular orbital has the (unnormalized) form 0.145A+0.844B. Find a linear combination of the orbitals A and B that is orthogonal to this combination and determine the normalization...
Ventaz Corp manufactures small windows for back yard sheds. Historically, its demand has ranged from 30 to 50 windows per day with an average of 4646. Alex is one of the production workers and he...
Which of the following statements is not true regarding the $500 credit for dependent other than a qualifying child credit. Cannot be claimed on the same tax return if the child tax credit is also...
Grind Co. is considering replacing an existing machine. The new machine is expected to reduce labor costs by $127,000 per year for 5 years. Depreciation on the new machine is $57,000 compared with...

a. Show by substitution into Equation (15.19) that the eigenfunctions of HË for a box with lengths

Question:

п.лz И,лу sin sin = N sin nn,n (x.y,z) %3D

Step by Step Answer:

N 2m sin sin N 2m b sin a ntz 2...View the full answer

Physical Chemistry

Students also viewed these Sciences questions