Question: 3. Consider a free electron in the spin-up state 1T> (with magnetic moment i : -es) in the presence of a strong magnetic field

3. Consider a free electron in the spin-up state 1T> (with magnetic

3. Consider a free electron in the spin-up state 1T> (with magnetic moment i : -es) in the presence of a strong magnetic field B-B. The Hamiltonian due to the field is Ho=-4B, . Suppose that a small additional magnetic field By is imposed. what is the change in the electron energy to: (i) first order in the perturbation and (i) second order in the perturbaton ? For your reference, the Pauli matrices are: -1

Step by Step Solution

★★★★★

3.39 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve this problem we need to consider the effect of the additional magnetic field on the energy ... 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 following trial balance has been extracted from the ledger of Andrea Howell, a sole trader, as at 31 May 20X3, the end of her most recent financial year. The following additional information as...

State the Biot-Savart law which gives the magnetic field B at a distance r from a current element. Hence obtain an expression for the magnetic field BQ due to a point charge Q moving with constant...

Consider Example 4b of Chapter 4, but now suppose that the seasonal demand is a continuous random variable having probability density function f. Show that the optimal amount to stock is the value s...

A magnetic field forces an electron to move in a circle with radial acceleration 3.0 ( 1014 m/s2. (a) What is the speed of the electron if the radius of its circular path is 15 cm? (b)What is the...

The Zeeman effect is the modification of an atomic spectrum by the application of a strong magnetic field. It arises from the interaction between applied magnetic fields and the magnetic moments due...

Using "A Dynamical Theory of the Electromagnetic Field" by Clerk Maxwell -What is the main idea of the Author's argument? What is the main essence of the piece? -What ways does the author use to...

Review the consolidated balance sheets and the related disclosures and respond to the following questions. Debt: As of June 30, 2015, what is the dollar amount of the current portion of the long-term...

(1) Write an equation (using the actual numbers on the income statement) that shows how operating income is computed by the Coca Cola Co. (2) What item(s) are included as part of other...

Need help with Accounting Discussion. The questions are attached along with the 10K Report to look for the answer in *Use the Coca Cola 10K Report to answer your questions along with any other...

Applied Mathematics and Computation 95 (1998) 181192 Love dynamics: The case of linear couples Sergio Rinaldi 1 Centro Teoria dei Sistemi, CNR, Politecnico di Milano, Via Ponzio 34/5, 20133 Milan,...

space weather PLEASE HELP ME use MATLAB NO REFERENCE 1.1 Free Space Maxwell's equations describe the behavior of electromagnetic fields and their interaction with mat- ter. They are one of the major...

Using the Gordon Growth Model, the CAPM and assuming equilibrium in the equity market, express Beta as a function of the other variables. If a firm targets a B = 1.25, what must it do to achieve this...

Air enters a dual cycle at 100 kPa and 20C. Using a cold-air analysis, determine the thermal efficiency, the required specific heat input, and the net work output of this engine if: a) r = 18, rc =...

Tutorial Exercise Determine whether the integral is convergent or divergent. If it is convergent, evaluate it . - x 9 e - x 1 0 d x

Suppose the European Union (EU) is investigating a proposed merger between two of the largest distillers of premium Scotch liquor. Based on some economists definition of the relevant market, the two...

A distillate containing 45 wt% isopropyl alcohol, 50 wt% diisopropyl ether, and 5 wt% water is obtained from the heads column of an isopropyl alcohol finishing umt. The company desires to recover the...

Equipment upgrade versus replacement (A. Spero, adapted) The TechMech Company produces sells 6,000 modular computer desks per year at a selling price of $500 each. Its current production equipment,...

Heidi Fritz established Freedom Financial Services on March 1, 2012. Freedom financial Services offers financial planning advice to its clients. The effect of each transaction and the balances after...

Capacity costs Kens Cornerspot, a popular university eatery in a competitive market, has seating and staff capacity to serve about 600 lunch customers every day. For the past two months, demand has...

After receiving a property report from a developer of a subdivision across state lines, the buyer has ______ days to cancel the purchase agreement. Unset starred question Five Nine Seven Three

Consider a free electron gas (Section 5.3.1) with unequal numbers of spin-up and spin-down particles (N + and N - and respectively). Such a gas would have a net magnetization (magnetic dipole moment...

Calculus Based Physics 3 Chapter 41 Question 5 Leaming Goal: To understand and be able to perform simple calculations relating to the Zeeman effect. The Zeeman effect is a change in the energy levels...

In Example 9.2, we introduced the Zeeman effect as a splitting of the energy levels of states in hydrogen due to the presence of a weak, external magnetic field. In that example, we just studied the...

2. Consider the hyperfine correction in the hydrogen energy state due to the nuclear magnetic moment is given by Hny = AI . J, where I and J represent the nucleus spin quantum number and total...

Constants | Periodic Table In 1922, two German scientists, Otto Stern and Walter Gerlach, studied the pattern of deflection of neutral atoms Consider a beam of hydrogen atoms passing with speed v...