Question: a. N identical spin particles are subjected to a one-dimensional simple harmonic oscillator potential. What is the ground-state energy? What is the Fermi energy?

a. N identical spin ½ particles are subjected to a one-dimensional simple harmonic oscillator potential. What is the ground-state energy? What is the Fermi energy?

b. What are the ground state and Fermi energies if we ignore the mutual interactions and assume N to be very large?

Step by Step Solution

★★★★★

3.45 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Assume each particles motion is only due to the SHO potential than the energy states for any one p... 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)

28-P-M-P-Q-M (229).docx

120 KBs Word File

Students Have Also Explored These Related Modern Physics Questions!

What is the ground state energy, according to Bohr theory, for (a) He+, (b) Li2+, (c) Deuterium (an isotope of hydrogen whose nucleus contains a neutron as well as a proton)?

What is the ground state electron configuration of a K+ ion?

A simple harmonic oscillator consists of a block attached to a spring with k = 200 N/m. The block slides on a frictionless surface, with equilibrium point x = 0 and amplitude 0.20 m. A graph of the...

1. For each of the following, compute the present value (Do not round intermediate calculations and round your final answers to 2 decimal places. (e.g., 32.16)): 2. For each of the following, compute...

After the switch in figure 23-46 has been closed for a long time, the energy stored in the inductor is 0.110 J. (a) What is the value of the resistance R? (b) If it is desired that more energy be...

A element of material in plane strain (see figure) is subjected to strains, (x = 480 ( 10-6, (y = 70 ( 10-6, and (xy = 420 ( 10-6. Determine the following quantities: (a) the strains for an element...

Again, try to justify your findings.

Micro Technology is considering two alternative proposals for modernizing its production facilities. To provide a basis for selection, the cost accounting department has developed the following data...

Please help!! Chapter 6: Applying Excel: Exercise (Algo) (Part 2 of 2) 2. Change all of the numbers in the data area of your worksheet so that it looks like this: If your formulas are correct, you...

1. Data on the amount of the customers' shopping by using an account card and whether they decided to upgrade their account from silver status to platinum status after receiving the upgrade offer is...

Explain why monetary policy would be completely ineffective under a fixed exchange rate system and perfectly elastic international capital flows.

Chikako is applying for a full-time, salaried position as an administrative assistant with Hitachi Systems, LLC. During the interview process, Chikako explains that she has low vision and will need...

Mike, Miko, Michael and Mikhael formed a partnership several years ago. They have decided to terminate operations and liquidate the business. The following balance sheet is drawn up as a guideline...

Millikan Oil Drop Lab Purpose . to explore the Millikan Oil Drop experiment . determine the value of the elementary charge Apparatus...

What is commonly used by a SOC to engage the IR team as soon as possible

CNBE, a prominent news channel, is gearing up to provide insightful coverage of recent elections, recognizing the importance of data-driven analysis. A comprehensive survey has been conducted,...

The auditors would be most likely to find unrecorded long-term liabilities by analyzing: (1) Interest payments. (2) Discounts on long-term liabilities. (3) Premiums on long-term liabilities. (4)...

Select the correct answer for each of the following questions. 1. On December 31, 20X3, Saxe Corporation was merged into Poe Corporation. In the business combination, Poe issued 200,000 shares of its...

A mathematical model of a pneumatic conveying dryer, Figure 1.1, has been developed (Fyhr, C. and Rasmuson; A., AIChE J. 42, 24912502, 1996; 43, 28892902, 1997) and validated against experimental...

Specify the coherence order (or orders) of the following operators: i i.

By expressing x and y in terms of + and _, verify the relationships given in the table on page 175.

Consider the pulse sequence shown below. Starting with equilibrium magnetization on spin one, 1z, show that the sequence generates a mixture of double- and zero-quantum coherence. Find the value of r...

Which of the following statement regarding high-frequency trading (HET) are true? The HFT industry is becoming less probable due to increased competition O HIT Gore marity The HF industry is becoming...

how do you do 15 X 2 P(X =x) 0.2 0.1 0.3 k a Find the value of k. b Find P(X > 3). c Find E(X). 14 A probability distribution of Y is given in the table. y 1 3 6 10 P(Y =y) 0.1 0.3 k 2k a Find the...

You want to buy a new car, but you can make an initial payment of only $2,400 and can afford monthly payments of at most $500. A) If the APR on auto loans is 12% and you finance the purchase over 48...