Why is only one quantum number needed to characterize the eigenfunctions for rotation in two dimensions, whereas

Question:

Why is only one quantum number needed to characterize the eigenfunctions for rotation in two dimensions, whereas two quantum numbers are needed to characterize the eigenfunctions for rotation in three dimensions?

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 02:36 AM

See More Questions

Consider an ensemble of spin 1 systems. The density matrix is now a 3 x 3 matrix. How many independent (real) parameters are needed to characterize the density matrix? What must we know in addition...
Why is it possible to write the total energy eigenfunctions for rotation in three dimensions in the form Y (, ) = () ()?
The two linearly independent total energy eigenfunctions for rotation in two dimensions are What is the evolution in time of for each of these solutions? 1 , (0) 1 e and o_(0) 2T |-4 1,
There are two major producers of corncob pipes in the world. Suppose that the inverse demand function for corncob pipes is described by p = 120 - 4g where g is total industry output and suppose that...
Find the missing values by solving the parallelogram shown in the figure. (The lengths of the diagonals are given by c and d.) 1. a =5, b = 8, Î¸ = 450 2. a = 25, b =35, = 1200 3. a =10,...
Refer to vectors in R n (or R m ) with the standard inner product. Justify each answer. (T/F) If a vector y coincides with its orthogonal projection onto a subspace W, then y is in W.
What is Project Communications Management? AppendixLO1
It has been stated that auditors must be independent because audited financial statements must serve the needs of a wide variety of users. If the auditor were to favor one group, such as existing...
Kneller Company manufactures and sells medals for winners of athletic and other events. Its manufacturing plant has the capacity to produce 22,000 medals each month; current monthly production is...
A galvanometer has a rectangular coil of side 10 by 30 mm pivoted about the center of the shorter side. It is mounted in radial magnetic field so that a constant magnetic field of 0.4 Wb/m2 always...
What is the difference between a bit and a qubit?
What makes the z direction special such that l 2 , H, and l z commute, whereas l 2 , H, and l x do not commute?
An auditor would be most likely to learn of slow-moving inventory through a. Inquiry of sales personnel. b. Inquiry of stores personnel. c. Review of perpetual inventory records. d. Physical...
CASE 7.2 Oracle Corporation: Share-Based Compensation Effects/Statement of Shareholders' Equity A sales-based ranking of software companies provided by Yahoo! Finance on November 5, Year 8, places...
A manufacturer of ovens sells them for $1,450 each. The variable costs are $800 per unit. The manufacturer's factory has annual fixed costs of $1,735,000. a. Given the expected sales volume of 3,100...
1.1 Explain the vitality of a strategy on businesses like Dell. (15) 1.2 Critically discuss the underlying objectives Dell should follow when formulating its business strategy. (20) 1.3 Discuss the...
Our international business plan involves exporting a sustainable apparel brand from India to UK. We will be exploring this plan in further detail below: Product/ Service: Sustainable clothing line...
If X is a random variable with probability density function f given by: f (x) = 4x 4x 3 when 0 x 1 and 0 otherwise, compute the following quantities: (a) The cumulative distribution function F...
Solve each inequality. Graph the solution set, and write it using interval notation. 3x - 2 -5 < 6
Chris Zulliger was a chef at the Plaza Restaurant in the Snowbird Ski Resort in Utah. The restaurant is located at the base of a mountain. As a chef for the Plaza, Zulliger was instructed by his...
Show that the definition of Ea given in eqn 20D.3 reduces to eqn 20D.1 for a temperature-independent activation energy. Data in eqn 20D.3 E=RT dink, dT Definition Activation energy (20D.3)
Summarize the characteristic of zeroth-order, first-order, secondorder, and pseudofirst-order reactions.
Consider the base-catalysed reaction Deduce the rate law. (1) AH+B B (2) A+ AH->product BH+A (both fast) (slow) K
Problem 12.6A (Algo) Liquidation of a partnership LO P5 Kendra, Cogley, and Mel share income and loss in a 3.21 ratio (in ratio form: Kendra, 3/6: Cogley, 2/6; and Mel, 1/6), The partners have...
Melody Property Limited owns a right to use land together with a building from 2000 to 2046, and the carrying amount of the property was $5 million with a revaluation surplus of $2 million at the end...
Famas Llamas has a weighted average cost of capital of 9.1 percent. The companys cost of equity is 12.6 percent, and its cost of debt is 7.2 percent. The tax rate is 25 percent. What is the companys...

Why is only one quantum number needed to characterize the eigenfunctions for rotation in two dimensions, whereas

Question:

Step by Step Answer:

For rotation in two dimensions the angular momentum vector is perpendicular to the plane of rotatio...View the full answer

Physical Chemistry

Students also viewed these Sciences questions