Question: A plane isotropic harmonic oscillator is perturbed by a change in the Hamiltonian of the form &H = p p . y Using time-dependent

A plane isotropic harmonic oscillator is perturbed by a change in the

A plane isotropic harmonic oscillator is perturbed by a change in the Hamiltonian of the form &H = p p . y Using time-dependent first-order perturbation theory find the shift in the frequencies.

Step by Step Solution

★★★★★

3.39 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

First write the complete timedependent Hamiltonian HtTVtp22m12kt... 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

Students Have Also Explored These Related Physics Questions!

The Hamiltonian operator for a one-dimensional harmonic oscillator moving in the x direction is Find the value of the constant a such that the function e ax2 is an eigenfunction of the Hamiltonian...

A certain harmonic oscillator has a position given by z = (0.150 m)[sin (Ït)], where The value of the force constant k is 0.455 N m 1 and the mass of the oscillator m is 0.544 kg. Find time...

A certain harmonic oscillator has a position given as a function of time by z = (0.150 m)[sin (Ït)], where The value of the force constant k is 0.455 N m 1 and the mass of the oscillator m is...

Linearly polarized light of angular frequency w is incident on a one-electron ?atom? whose wave function can be approximated by the ground state of a three-dimensional isotropic harmonic oscillator...

42. What type of e-business model best describes Apple? Pure-play A. B. C. D. 43. What is a pure-play business? A. B. C. D. B. Brick-and-mortar Click-and-mortar C. Virtual 44. What are the four main...

After calculating the path integral for the harmonic oscillator, you might need to take a breath or two. To relax, in this example, we will calculate the path integral for the free particle, using...

2. Consider two identical particles of spin 1/2 that are confined in an 3D isotropic harmonic oscillator potential with the frequency @, () find the ground state energy and the corresponding total...

Problem 1 Consider a three - dimensional isotropic harmonic oscillator described by Hamiltonian hat ( H ) = h a t ( p ) x 2 + h a t ( p ) y 2 + h a t ( p ) z 2 2 m e + 1 2 m e 2 ( x 2 + y 2 + z 2 )...

If the three force constants in Prob. 4.20 are all equal, we have a three-dimensional isotropic harmonic oscillator. (a) State why the wave functions for this case can be written as = f(r)G(, ). (b)...

Use the Numerov method to calculate the lowest four l = 0 energy eigenvalues and the lowest four l = 1 eigenvalues of the three-dimensional isotropic harmonic oscillator, which has V = 1/2 kr2....

Super Sports has a yearend of 31st December and makes footballs. On July 1st 2016 the company purchased a machine with a useful life of 10 years for Rs 800,000. The company uses straight line...

What are the main differences between functional and activity-based budgets?

A manufacturing company faces a potential supply chain disruption due to geopolitical tensions. To address this proactively, the Crisis Management Team conducts scenario planning and identifies a set...

The mineral galena is composed of lead(II) sulfide and has an average density of 7.46 g/cm 3 (a) How many moles of lead(II) sulfide are in 6.96 ft 3 of galena? 10 moles (b) How many lead atoms are...

Loss of atmospheric ozone has led to an ozone "hole" over Antarctica. The process occurs in part by three consecutive reactions. (Each of the reactants and products in these reactions are gases.) (1)...

The following is the labor market situation in Country XXX. There is an increase in the numbers of entrants into the labor market in Country XXX around October as the new graduates who have just...

Fred and Lucy are married, ages 33 and 32, and together have AGI of $120,000 in 2016. They have four dependents and file a joint return. They pay $5,000 for a high deductible health insurance policy...

Aluminum nitrite and ammonium chloride react to form aluminum chloride, nitrogen, and water. What mass of each substance is present after 74.8 g of aluminum nitrite and 49.3 g of ammonium chloride...

Based on your understanding of the course readings and additional research, explain aleader's role in: communicating disseminating delegating information

At the start 5 lb of salt are dissolved in 20 gal of water. Salt solution with concentration 2 lb / gal is added at a rate of 3 gal / min. and the well-stirred mixture is drained out at the same rate...

Detennine the genera] solutions for the cunents I1 . I2 and I3 if R1 = R2 = R3 = 4 ohms and L1 = L1 =2benries. V))loop 1 R2 loop2 L1 L2

rotation along trajectories is detennined as follows. ¢ if b is negative, rotation is counterclockwise; ¢ if c is negative, rotation is clockwise. 6

USA Today has reported on the gender gap that exists between married spouses. One of the measures is the number of women who outearn their husbands. According to a study conducted by the Bureau of...

International Data Corp. (IDC) has shown that the average return on business analytics projects was almost four-and-a-half times the initial investment. Analytics consists of tools and applications...

Tony Hsieh is CEO of e-tailer Zappos.com. His company sells shoes online. It differentiates itself by its selection of shoes and a devotion to customer service. It offers free shipping and free...