Question: Prove using the definitions (27.16) that Eq. (27.15) is equivalent to Eq. (27.17), which has the form of a gauge coupling to a vector potential

Prove using the definitions (27.16) that Eq. (27.15) is equivalent to Eq. (27.17), which has the form of a gauge coupling to a vector potential $\boldsymbol{A}_{n}(\boldsymbol{R})$.

Data from Eq. 27.15

- (n, R| H)= = n, R n, R 2M OR a(R)

Data from Eq. 27.16

+ OR Jo(R) a +2 n, R n, R + En(R)(R) E(R).

Data from Eq. 27.17

= aR OR

- (n, R| H)= = n, R n, R 2M OR a(R) + OR Jo(R) a +2 n, R n, R + En(R)(R) E(R). = aR OR

Step by Step Solution

★★★★★

3.49 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Step 1 Restate the key equations Eq 2715 This is an effective Schrdinger equation involving derivatives of the state n mathbfR angle frachbar22M left ... 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 Modern Physics Questions!

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...

A compare-exchange operation on two array elements A[i] and A[j], where i A[j] 2 exchange A[i] with A[j] After the compare-exchange operation,...

20. Prove using the definitions if all rhombi are rectangles or if all rectangles are rhombi or neither of those two cases. 21. Make a Venn Diagram of the relationships among rectangles, squares and...

H OMEWORK 3 Homework 3 is due by Friday October 21st at 5:00 pm. (1) Consider the Binomial model with parameters u = 1.3, d = 0.9, r = 0.1, S0 = 113, p = 0.7, q = 0.3 and N = 5. Let P be the...

Part II Answer each of the following questions. Justify your answers using either the definitions of 0, 2, and or the techniques shown in class (along with basic math). Note: for limit tests...

5-kif kis odd 3k -10 if k is even that for any integer k that f(k) is even. [Hint: Divide into cases depending on whether k is even or I. For any integer k, define f(k) = Prove (using fundamental...

Let a(n), b(n), g(n) be positive non-decreasing functions. (a) Prove (using the definitions of and O) that if T (n) = a(n) + b(n), such that a(n) (g(n)) and b(n) O(g(n)) then T(n) (g(n)) (b) Show (as...

For any integer k , define f ( k ) = { 3 k + 7 i f k i s o d d 5 k 2 i f k i s e v e n . Prove ( using fundamental definitions ) that for any integer k that f ( k ) is even. [ Hint: Divide into cases...

20. Prove using the definitions if all rhombi are rectangles or if all rectangles are rhombi or neither of those two cases

Medtech, Inc., a distributor of special pharmaceutical products, operates at capacity and has three main market segments: a. General supermarket chains b. Drugstore chains c. Mom- and- pop single-...

A shell of mass m and speed v explodes into two identical fragments. If the shell was moving horizontally with respect to the earth, and one of the fragments is subsequently moving vertically with...

Required: 1 . What is the amount of gain or loss that Kapono would recognize on the exchange? What is the initial value of the new tractor? 2 . Assume the fair value of the old tractor is \ ( \ $ 3 2...

1. Option Prices You want to find the option prices for Conagra Brands (CAG). Go to finance. yahoo.com, get a stock quote, and follow the Options link. What are the option premium and strike price...

What are the challenges posed by strategic information systems, and how should they be addressed? a. List and describe the management challenges posed by strategic information systems. b Explain how...

What ethical, social, and political issues are raised by information systems? a) Explain how ethical, social, and political issues are connected and give some examples. b) List and describe the key...

What specific principles for conduct can be used to guide ethical decisions? a. List and describe the five steps in an ethical analysis. b. Identify and describe six ethical principles.

3 Pardew made the following accounting entries to account for the purchase of goods on credit from a supplier: Debit Trade payables ledger control account $3.200 Credit Purchases $3,200 State the...

growth prospects compared to neighDouring Chile and Bollvia. Various factors e: etitive advan Baseg on the following ppsilon - NFA diagram, provide the regular, expression. avoided ir rritory to exI...

Please answer the following question. In 2019, Jasmine and Thomas, a married couple, had taxable income of $113,000. If they were to file separate tax returns, Jasmine would have reported taxable...