Question: 11. Let be a harmonic oscillator with Hamiltonian H = P/2m + (mw/2)X. for o(x) = Ao exp(-Bx2) to be autofunction of H. What

11. Let be a harmonic oscillator with Hamiltonian H = P/2m +

11. Let be a harmonic oscillator with Hamiltonian H = P/2m + (mw/2)X. for o(x) = Ao exp(-Bx2) to be autofunction of H. What is the energy of this state? Find 3 %3D What arguments would you use to show what the ground state is?

Step by Step Solution

★★★★★

3.52 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

For the so... 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!

What is the energy of photons (joules) emitted by an 88.5-MHz FM radio station?

What is the energy width (or uncertainty) of? (a) 0, and (b) 0? See Table 32-2.

What is the energy cost per amino acid in prokaryotic protein synthesis? Relate this to low entropy.

1. State what physical property is associated with each of the following quantum numbers in a one-electron atom and give the value of this physical property in terms of the quantum number: a) I b) m:...

24.3. Asymmetric well potential It is interesting to see what happens when the bosonic potential has two asymmetric wells | a and | b: in this case the asymptotic behaviours of the kink at xare...

Please answer the whole question 2. [10] Consider as our unperturbed starting Hamiltonian the 2D isotropic Harmonic oscillator: 2 2 " px p)? 1 2 2 2 H =++mw x + a 2m 2m 2 at Y) (Isotropic means it...

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...

1. (80 pts) At the turn of the 19th and 20th centuries saw several groundbreaking progresses in physics. Quantum mechanics is one of the physical theories developed in this period, which have since...

c. What are the amplitude, period, and angular frequency wo of the H atom's oscillation? (A) = P3 - Pz = P2-P, = 0.01nm am! = A = 0. 0Inm angular Wo=zt T= LS- L, Wo= er Frequency = = 1. 16 x10-175...

s1 educated (SSE) student for every three public school educated (PSE) students. Reasoning that students are not very dissimilar from threads, he suggests the following entry and exit routines be...

The drainpipe of mass M is held in the tines of the fork lift. Determine the normal forces at A and B as functions of the blade angle and plot the results of force (ordinate) versus (abscissa) for...

A taxpayer owned 1,000 shares of common stock in Barlo Corporation, which manufactures automobile parts. The taxpayers cost basis in the stock was $82,700. Last week, Barlo declared bankruptcy and...

TThe most recent financial statements for Marcus Company are shown below: Income StatementBalance SheetSales$ 9 1 , 2 0 0 Current assets$ 3 2 , 0 0 0 Debt$ 4 2 , 0 0 0 Costs 6 6 , 1 5 0 Fixed assets...

Natural Cosmetics Company applies overhead costs on the basis of machine hours. The overhead rate is computed by analyzing data from the previous year to determine the percentage change in costs....

Froya Fabrikker A/S of Bergen, Norway, is a small company that manufactures specialty heavy equipment for use in North Sea oil fields. (The Norwegian currency is the krone, which is denoted by Nkr.)...

Almega Corporation, organized under the laws of State S, has outstanding twenty thousand shares of $100 par value nonvoting preferred stock calling for noncumulative dividends of $5 per year; ten...

The following are independent audit situations for which you will recommend an appropriate audit report from the types listed. For each situation, identify the appropriate type of audit report and...

The adjusted trial balance for Paddy's Cell Systems follows: Required 1. Journalize the closing entries of Paddy's Cell Systems at March 31, 2017. Include explanations. 2. How much net income or net...

Structured Query Language (SQL) Due Week 7 and worth 75 points Refer to the database design crested in Lab 2: Modifying a Database Design in Visio to complete this Lab. Perform the following steps in...

Is it true that if we know that x y is harmonic, then it is true to conclude that x and y are . harmonic functions?

11. (Value: 5) The harmonic mean of two numbers is obtained by taking the inverses of the two numbers, averaging them, and taking the inverse of the result. Write a function called harmonic that...

need help with this do questions F# Programming: Type Inference Q1. For each of the following definitions, say whether it is a simple value or a function, and if a function, what is the function...

16. Suppose you are concerned about your company's prospects, so you purchase a put option on your company's stock (granted at time zero and exercisable at time one). You have no stock grant but have...

Problem 6. Let f be harmonic on a simply connected domain D in the plane and let C be the boundary of D oriented counterclockwise. Show that if f = 0 on the boundary of D then ff |V|dA = 0. Hint:...

Let f be harmonic on a simply connected domain D in the plane and let C be the boundary of D oriented counterclockwise. Show that if f = 0 on the boundary of D then ffVfdA= 0. Hint: Apply the...