Question: Show that the interaction Hamiltonian (5.1.10) is Hermitian. - HD = h 2pVwk ilab -b *k'nky +kn,k - akton). a-b (5.1.10)

Show that the interaction Hamiltonian (5.1.10) is Hermitian.- HD = h 2pVwk ilab -b *k'nky +kn,k - akton). a-b

- HD = h 2pVwk ilab -b *k'nky +kn,k - akton). a-b (5.1.10)

Step by Step Solution

★★★★★

3.41 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The Hamiltonian is i b Dk 2pVwk a k nk atbr krkn bnks nk k HDDk kk whos... View full answer

blur-text-image
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 Solid State Physics Essential Concepts Questions!

Q:

Show that the interaction Hamiltonian (5.2.8) is Hermitian, even if n|p(vector)|n is complex. The fact that both n and nare summed over is important. He-phot m X h , {n'\p } 2 nn' k ka bt .b = +...

Q:

To explore ways to increase the educational experience using animation versus static images in a learning environment, Cyril Rebetez and colleagues5 ran a factorial experiment that measured retention...

Q:

Van der Waals interaction. Consider two atoms a distance R apart. Because they are electrically neutral you might suppose there would be no force between them, but if they are polarizable there is in...

Q:

Show that the spontaneous-emission lifetime is a few hundred femtoseconds for a conduction electron initially in a state with kinetic energy 30 meV falling into an empty valence-band state. Assume...

Q:

Homework 3 (Extra Credit) Your job as aspiring mathematicians will be to answer similar questions for Hamiltonian vector fields. In this homework assignment you will investigate properties of...

Q:

Problem 1: In class we showed that curl F =0 - F = Vf. In this problem you will show that Hamiltonian vector fields satisfy an analogous relationship but with divergence instead of the curl. First...

Q:

Please answer each question and show your work. A hamiltonian path in a graph is a simple path that visits every vertex exactly once. Consider the language HAM-PATH = {G. u, u) : there is a...

Q:

This is the result in 4.3 I 4.4 The mean-field equations for the three-state Potts model H=-1 8070; 0; = 1, 2, 3 (ij) (4.57) can be derived as follows using the result obtained in problem 4.3: (i)...

Q:

The normal (not accidental; see Box 29.2) degeneracies in a quantum system result from symmetry. Show that if a Hamiltonian $H$ is invariant under transformation by a unitary symmetry operator $S$,...

Q:

9. If e = {ij} is an edge of the weighted graph G=(V, E), where V ={1,2,...,n} with weight function w, the n x n matrix A = [a] =[w(e)] is called the weight matrix of G. Suppose the weight matrix of...

Q:

Do you think Apple is justified in drawing the observations and conclusions expressed in the case? Why or why not? Do you think it is good or harmful to the company that its executives have voiced...

Q:

Capacitors in networks cannot always be grouped into simple series or parallel combinations. As an example, Fig .a shows three capacitors Cx, Cy, and Cz in a delta network, so called because of its...

Q:

Consider the following two projects that Dee Cee Investments is considering:

Q:

2 How might push, pull and inhibitor factors account for the under-representation of women entrepreneurs?

Q:

Draw a bond-line structure for each of the following compounds: (a) 4,4-Dimethyl-2-pentyne (b) 5-Ethyl-2,5-dimethyl-3-heptyne

Q:

Although triple bonds have linear geometry, they do have some flexibility and can be incorporated in large rings. Cycloalkynes containing more than eight carbon atoms have been isolated and are...

Q:

A differential dz = f (x, y) dx + g(x, y) dy is exact if the integral f (x, y) dx + g(x, y) dy is independent of the path. Demonstrate that the differential dz = 2xy dx + x 2 dy is exact by...

Q:

Required information Use the following information for the Exercises below. (Algo) [The following information applies to the questions displayed below.] Simon Company's year-end balance sheets...

Q:

Suppose you have a riskless security at 8% and a market portfolio with a return of 12% and a standard deviation of 10%. How should you go about investing your money so that your investment will have...

Q:

You are considering investing in U.S. Steel. Which of the following is an example of non-diversifiable risk? Answer Risk resulting from foreign expropriation of U.S. Steel property Risk resulting...