Find the best bound on E gs for the one-dimensional harmonic oscillator using a trial wave function
Question:
Find the best bound on Egs for the one-dimensional harmonic oscillator using a trial wave function of the form
where A is determined by normalization and b is an adjustable parameter.
Transcribed Image Text:
V/(x) = A x² +6²
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
Normalize Kin...View the full answer
Answered By
Mugdha Sisodiya
My self Mugdha Sisodiya from Chhattisgarh India. I have completed my Bachelors degree in 2015 and My Master in Commerce degree in 2016. I am having expertise in Management, Cost and Finance Accounts. Further I have completed my Chartered Accountant and working as a Professional.
Since 2012 I am providing home tutions.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
Question Posted:
Students also viewed these Engineering questions
-
(a) Use a trial wave function of the form to obtain a bound on the ground state energy of the one-dimensional harmonic oscillator. What is the best value of a? Compare (H) min with the exact energy....
-
For the ground-level harmonic oscillator wave function (x) given in Eq. (40.24), | |2 has a maximum at x = 0. (a) Compute the ratio of | |2 at = +A to | |2 at x = 0, where A is given by Eq. (40.27)...
-
An oscillator vibrating at 1250 Hz produces a sound wave that travels through an ideal gas at 325 m/s when the gas temperature is 22.0C. For a certain experiment, you need to have the same oscillator...
-
An analyst expects that 20% of all publicly traded companies will experience a decline in earnings next year. The analyst has developed a ratio to help forecast this decline. If the company is headed...
-
Which error, Type I or Type II, would usually be considered more serious for decisions in the following tests? Explain why. a. A trial to test a murder defendants claimed innocence, when conviction...
-
A store has been selling 200 DVD burners a week at $350 each. A market survey indicates that for each $10 rebate offered to buyers, the number of units sold will increase by 20 a week. Find the...
-
For each of the following situations, calculate the degrees of freedom \((d f)\), identify the critical values (assume \(\mathrm{a}=.05\) [two-tailed]), calculate the \(t\)-statistic \((t)\), make a...
-
1. Which of the following is not subject to self-employment tax? a. Net earnings of the owner of a shoe store b. Net earnings of a self-employed lawyer c. Distributive share of earnings of a...
-
Many of the strategies used in email and content marketing raise legal, ethical, and cultural questions. While some practices are clearly unethical or illegal, others straddle the line, requiring...
-
Reconstruct the following syllogistic forms and use the five rules for syllogisms to determine if they are valid from the Boolean standpoint, conditionally valid from the Aristotelian standpoint, or...
-
(a) Prove the following corollary to the variational principle: If (| gs ) = 0, then (H) E f e , where is the energy of the first excited state. Comment: If we can find a trial function that is...
-
Using a trial function of your own devising, obtain an upper bound on the ground state energy for the bouncing ball potential (Equation 2.185), and compare it with the exact answer (problem 2.59):...
-
Does Kraft Foods' portfolio exhibit good strategic fit? What value-chain match-ups do you see? What opportunities for skills transfer, cost sharing, or brand sharing do you see?
-
When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. if the global response center is called, there is a...
-
Define overweight and obesity. Discuss strategies for the prevention and control of overweight and obesity in populations
-
Canadian Tire is providing a one-day training session for its retail employees on the topic of customer service at one of its Toronto stores. Review the various methods of needs analysis presented in...
-
What is a pay policy? What do you think is the pay policy at your organization (describe).
-
What is the summary of "Anti-Feminism Part of Conservative Revival by Thomas Walkom? Explain briefly
-
Find the eigenvalues and associated eigenvectors of the following 3 3 matrices. Is there a set of linearly independent eigenvectors? a. b. c. d. 001 112 121 12 121 211 112 130 0
-
A company has the following incomplete production budget data for the first quarter: In the previous December, ending inventory was 200 units, which was the minimum required, at 10% of projected...
-
A projectile is launched with a velocity of 100 m/s at an angle of 30) above the horizontal. Create a Simulink model to solve the projectiles equations of motion where x and y are the horizontal and...
-
The following equation has no analytical solution even though it is linear. x + x = tan t x(0) = 0 The approximate solution, which is less accurate for large values of t, is Create a Simulink model...
-
Construct a Simulink model to plot the solution of the following equation for 0 t 10. where u s (t) is a unit-step function (in the Block Parameters window of the Step block, set the Step time to...
-
Two small electrified objects A and B are separated by 0.03 m, and repel each other with a force of 4.0x10^-5 N. If we move body A an additional 0.03 m away, what is the electric force now?
-
(a) Let ACS CR, and c A be a point. Suppose f: S R is continuous at c. Prove that the restriction f| is continuous at c. (b) Find an example of a function f : S R and a subset AC S such that | is...
-
Complete the table. A B C D (a) -2 1 1 5 8-in. 2 1- in. 4 2- in. 6 (b) 23.6 cm 38.5 cm 15.4 cm (c) 20 ft 8 ft 6 ft (d) 6.3 m 3.6 m 2.8 m (a) D = ... in. (Type a whole number or a simplified...
Study smarter with the SolutionInn App