Find, by explicit construction using Pauli matrices, the eigenvalues for the Hamiltonian for a spin 1/2 particle

Question:

Find, by explicit construction using Pauli matrices, the eigenvalues for the Hamiltonian

for a spin 1/2 particle in the presence of a magnetic field

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Modern Quantum Mechanics

ISBN: 9780805382914

2nd Edition

Authors: J. J. Sakurai, Jim J. Napolitano

See More Books

Question Posted: Aug 05, 2023 07:45 AM

See More Questions

The electron beam in Figure Q29.9 is projected to the right. The beam deflects downward in the presence of a magnetic field produced by a pair of current-carrying coils. (a) What is the direction of...
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...
The matrices Î± i (i = 1, 2, 3) and Î² in the Dirac equation (1.8) can be chosen to have the explicit forms where 1 and 0 are the 2 Ã 2 unit matrix and null matrix,...
College Spirit sells sportswear with logos of major universities. At the end of 2019, the following balance sheet account balances were available. Accounts payable $104,700 Required: 1. Prepare a...
Use the single-server drive-up bank teller operation referred to in Problems 13 to determine the probabilities of 0, 1, 2, and 3 customers in the system. What is the probability that more than three...
An assertion is made in the lemons discussion in this chapter that demand may well be backward bending in a market in which quality is unobservable prior to purchase. Consider the following model:...
Which biogeochemical cycle(s) would be impossible without bacteria? (a) the water cycle (b) the carbon cycle (c) the nitrogen cycle (d) the carbon and nitrogen cycles
A monopolist faces a market demand curve given by Q = 70 P: The monopolists marginal revenue function is given by MR = 70 2Q: a. If the monopolist can produce at constant average and marginal costs...
A franchisee has yearly gross sales of $200,000, net profit of $30,000, gross profit of $15,000, and brand royalties of 5 percent. What amount is the franchisee likely to pay the franchisor per annum?
The spin-dependent Hamiltonian of an electron positron system in the presence of a uniform magnetic field in the z-direction can be written as Suppose the spin function of the system is given by (a)...
A particle of mass m in one dimension is bound to a fixed center by an attractive -function potential: At t = 0, the potential is suddenly switched off (that is, V = 0 for t > 0). Find the wave...
If revenue expenditure was incorrectly treated as capital expenditure, what would be the effect on the business's profit for the year?
The following data reports on the July production activities of the Molding department at Ash Company. Beginning work in process Direct materials Conversion Costs added this period Direct materials...
Consider: BSL Racket has a function named modulo, that can be described as follows: Assume you have defined a named constant SCENE-HT , to be used as the height of sunset scenes in your program....
The employees of Custom Clothes work Monday through Friday. Every other Friday the company issues payroll checks totaling $32,000 (or $3,200 per weekday). The current pay period ends on Friday,...
Divide and completely simplify the following: x+5214 x-4 x-49 x-2
Define any two of the following terms: Autocratic Leader. Situational leadership model. Leadership style.
Suppose that you are testing the hypotheses H0: = 80 vs. HA: 80. A sample of size 61 results in a sample mean of 75 and a standard deviation of 1.5. a) What is the standard error of the mean? b)...
Why is it important to understand the macro-environment when making decisions about an international retail venture?
The equilibrium constant for dissolution in water of a nonionic compound, such as diethyl ether (CH 3 CH 2 OCH 2 CH 3 ), can be written At low ionic strength, = 1 for neutral compounds. At high...
Why do activity coefficients not appear in the charge and mass balance equations?
Write the charge balance for a solution of H 2 SO 4 in water if H 2 SO 4 ionizes to HSO 4 and SO 2 4 - .
A rod of m = 0 . 1 3 kg and L = 0 . 7 5 m is on a ramp of two parallel rails with angle theta = 1 7 deg with respect to the horizontal. The current on the rod is I = 0 . 0 7 5 A , pointing into the...
What is a common mode of decay for radioactive nuclides in which the mass number changes? Explain
The Earth has a mass of 6 x 10^24 kg and radius of 6380 km and spins with a tangential velocity of approximately 460 m/s at the equator. What is the minimum amount of force required to keep an object...

Find, by explicit construction using Pauli matrices, the eigenvalues for the Hamiltonian for a spin 1/2 particle

Question:

H = 2μ ħ S.B

Step by Step Answer:

We know the relation between Pauli matrices and spin operators is give...View the full answer

Modern Quantum Mechanics

Students also viewed these Engineering questions