Question: (a) Show that for the orbital-angular-momentum eigenfunctions, the smallest possible value for the angle between L and the z axis obeys the relation cos2

(a) Show that for the orbital-angular-momentum eigenfunctions, the smallest possible value for the angle between L and the z axis obeys the relation cos2 θ = l/ (l + 1).
(b) As l increases, does this smallest-possible angle increase or decrease?

Step by Step Solution

★★★★★

3.34 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a When the angle between the z axis and the L vector is s... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

959-P-M-A-M (505).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Estimate (a) The quantum number l for the orbital angular momentum of the Earth about the Sun, and (b) The number of possible orientations for the plane of Earths orbit.

Show that the magnetic dipole moment M of an electron orbiting the proton nucleus of a hydrogen atom is related to the orbital angular momentum L of the electron by -L.

The orbital angular momentum of an electron has a magnitude of 4.716 x 10-34 kg m2/s. What is the angular-momentum quantum number I for this electron?

Describing Data Once we have collected data from surveys or experiments, we need to summarize and present the data in a way that will be meaningful to the reader. We will begin with graphical...

Hey tutors, kindly help me with this physics exercise prep for an exam. Explanation need not be too detailed 1. [-/2 Points] DETAILS SERCP11 2.QQ.001. MY NOTES ASK YOUR TEACHER The figure below shows...

*Please include all the code for MATLAB only not python* Task 2 (of 2) The diagram below is a simple schematic of a two-link robot arm. Xg and Yg are the coordinates of the gripper for the robot. L1...

Using "On the Spectrum of Hydrogen" by Niels Bohr -What is the main idea of the Author's argument? What is the main essence of the piece? -What ways does the author use to propose and support their...

E-Physics Tutorial Book Note: I have attached below the lesson for the 3 activities. Thank you so much for your time and effort. Activity 1. Directions: Use the right-hand rule to determine the...

The experimental result differs from the assumption. The result shows that the ring oscillator frequencies can be grouped into two groups, where the first group is the high frequency group for the...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

The Board Chairman of Bukom Fishing Limited says the board of directors have the responsibility of deciding which risk the company will be prepared to accept or not accept. He identifies the...

Describe and discuss four strategy levels involved in the evolution of a global corporation

Question 2 7 ( 2 . 5 points ) The Glass - Steagall Act, before its repeal in 1 9 9 9 , prohibited commercial banks from issuing equity to finance bank expansion. engaging in underwriting and dealing...

Lloyd and Mario Spaulding entered into a contract to purchase property from Richard and Robert Krajcir. The two Spaulding brothers signed a promissory note to the Krajcir brothers with the following...

The pyramid described in Problem 32 contains approximately 2 million stone blocks that average 2.50 tons each. Find the weight of this pyramid in pounds.

Assuming that 70% of the Earths surface is covered with water at an average depth of 2.3 mi, estimate the mass of the water on the Earth in kilograms.

A hydrogen atom has a diameter of approximately 1.06 x 10-10, as defined by the diameter of the spherical electron cloud around the nucleus. The hydrogen nucleus has a diameter of approximately 2.40...

Question: Use this excel file as it has the numbers in it: https://secure.parsa.com/index.php/s/JFoWJkoAwtR8nQJ Suppose debitfees from carbonara sales in Paris are uniformly distributed between the...

Suppose X 1 O 1 NNQ H1 ? X2 #2 0 1 (a) Let X1 : R0056 and X2 : Rsin. Find the joint distribution of R and f9, and the marginal distributions of R and 9 when p1 : p2 : 0. (b) Our interest is to test...

plz help !! 4. ( 10pts) Find the 1 -factorization of the above graph or explain why there is no such a 1-factorization (6 pts). Add the least number of edges to the graph to turn into 1factorization...