Question: For the particle in a spherical box (Prob. 6.2), use the Numerov method to find the lowest three l = 0 energy eigenvalues and the

For the particle in a spherical box (Prob. 6.2), use the Numerov method to find the lowest three l = 0 energy eigenvalues and the lowest three l = 1 eigenvalues. Compare your l = 0 results with the exact results of Prob. 6.2.

Step by Step Solution

★★★★★

3.46 Rating (179 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The dimensionless variables are E r EA r r rB where A and B are given by the partic... 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 (561).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

The particle in a spherical box has V = 0 for r b and V = for r > b. For this system: (a) Explain why = R(r)f(, ), where R(r) satisfies (6.17). What is the function f(, )? (b) Solve (6.17) for R...

(a) A particle in a spherical box of radius b has V = 0 for 0 ( r ( b and V = ( for r > b. Use the trial function ( = b - r for 0 ( r ( b and ( = 0 for r 7 b to estimate the ground- state energy and...

For the particle in a cubic box, what is the degree of degeneracy of the energy levels with the following values of 8ma2E/h2? (a) 12; (b) 14; (c) 27.

Use the Numerov method to find the lowest four energy eigenvalues for a one-particle system with V = for x 0 and V = bx for x > 0, where b is a positive constant. (For b = mg, this is a particle in...

Use the Numerov method to find the lowest three energy eigenvalues for a one-particle system with V = cx4, where c is a constant. Use either a program similar to that in Table 4.1, a spreadsheet, or...

Use the Numerov method to find the lowest three energy eigenvalues for a one-particle system with V = ax8, where a is a constant. Use either a program similar to that in Table 4.1, a spreadsheet, or...

Use the Numerov method to find the lowest three stationary-state energies for a particle in a one-dimensional box of length l with walls of infinite height. use either a program similar to that in...

Revise your solution to Prob. 8.60 to apply the pib basis functions to the one-dimensional quartic oscillator with V = cx4. See Prob. 8.63 for hints. Take the "box" to extend from xr = -3.5 to 3.5,...

This is what was on the matlab file: %-----------------------------INSTRUCTIONS----------------------------------- % You must run se_solve_p_wells.m % Make sure that your current folder is the same...

please help me solve these questions, the teacher included the final answer in the screenshots but I want the steps for it so I can understand how they got the final answer ( that's all screenshot so...

A research firm has been asked to determine the proportion of all restaurants in the state of Ohio that serve alcoholic beverages. The firm wants to be 98% confident of its results but has no idea of...

What are DNA vaccines? How does the host see the protein antigen they code for compared to the same antigen delivered as an intramuscular/adjuvant based submit vaccine?

Loyiso is making monthly contributions of of 5 4 6 0 to his savings account which pays interest at the APR of 6 . 5 % , compounded monthly. Right after Loyiso makes his 3 6 th contribution, the bank...

Without permission, Grissom entered onto land owned by another and then proceeded to cut and sell the timber from the land. On learning that the timber had been sold, the owner of the land brought an...

Consider an infinitely thin flat plate with a 1-m chord at an angle of attack of 10 in a supersonic flow. The pressure and shear stress distributions on the upper surfaces are given by p u = 4x 10 4...

Consider an airfoil at 12 angle of attack. The normal and axial force coefficients are 1.2 and 0.03, respectively. Calculate the lift and drag coefficients.

Consider an NAC A 2412 airfoil (the meaning of the number designations for standard NACA airfoil shapes is discussed in Chap. 4). The following is a tabulation of the lift, drag, and moment...

The Snedecker Corporation is considering a change in its cash-only policy. The new terms would be net one period. The required return is 1.6 percent per period. Based on the following information,...

QUESTION 6 If the simple CAPM is valid and all portfolios are priced correctly, which of the situations below is possible? Consider each situation independently, and assume the risk-free rate is 5%....

what is a compensating control in security controls?