Show that 1/2 are eigenfunctions of the one-spin Hamiltonian when it is written in angular frequency units

Question:

Show that Ïˆ±1/2 are eigenfunctions of the one-spin Hamiltonian when it is written in angular frequency units

hence find the corresponding eigenvalues. You should assume that

i.e. that Ïˆ±1/2, are eigenfunctions of z with eigenvalues ±1/2.

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

Step by Step Answer:

Related Book For book-img-for-question

Understanding NMR Spectroscopy

ISBN: 978-0470746080

2nd edition

Authors: James Keeler

See More Books

Question Posted: Apr 26, 2016 08:33 AM

See More Questions

The operator for the square of the total spin of two electrons is Given that show that Î±(1)Î± (2) and Î²(1)Î²(2) are eigenfunctions of the operator...
In this problem we represent the spin eigenfunctions and operators as vectors and matrices. a. The spin eigenfunctions are often represented as the column vectors Show that Î± and...
In this problem you will prove that the ground-state energy for a system obtained using the variational method is greater than the true energy. a. The approximate wave function Î¦ can be...
Explain these points in detail w.r.t application of control in auditing with examples. 1: Relate data capture control with internal control in auditing with example 2: Relate validation control with...
Winner says, It is clear that in decades to come a great many things like telephone answer machines and automatic bank tellers will become, in effect, members of our society. More recent technologies...
Was globalization responsible for the slowdown of multinational enterprise (MNE) business during the financial crisis of 2008?
Focus plc has several wholly owned subsidiaries engaged in activities that are outside the businesss core business. A decision has recently been taken to concentrate exclusively on the core business...
Use the data in GPA2.RAW for this exercise. (i) Consider the equation where colgpa is cumulative college grade point average, hsize is size of high school graduating class, in hundreds, hsperc is...
The Black Bird Company plans an expansion. The expansion is to be financed by selling $164 million in new debt and $17 million in new common stock. The before-tax required rate of return on debt is...
What is a specific police department impacted by a recent legislative actions, court decisions, regulatory and statutory changes, and laws and ordinances? Analyze how the legislative actions, court...
Calculate the Larmor frequency (in Hz, MHz and rad s-1) of l3C at a magnetic field strength of 9.4 T; the gyromagnetic ratio of l3C is +6.7283 x 107 rad s-l T-l and you assume that the chemical shift...
Following the approach of section 3.5 on page 35, show that Ïa.1 Ïa.2 is an eigenfunction of the Hamiltonian for two spins with no coupling between them: Hence find the corresponding...
Under what conditions does reducing the level of WIP also reduce the number of defectives produced? LO7
GATE 2024-EE Question
GATE 2024-EE Question
GATE 2024-EE Question
What is Netduino?
What is Appolonius theorem?
Give an equation for the indicated surface. The sphere with diameter PQ where P = (1, 1, -3) and Q = (1,7, 1)
Define relevant costs and discuss: (1) whether all future costs are relevant for decision making and (2) whether variable costs are always relevant and fixed costs are always irrelevant
a. Suppose that f(A) is a function of a Hermitian operator A with the property A| > = | >. Evaluate < b| (A) | b> when the transformation matrix from the basis to the b basis is known. b. Using the...
a. Let x and px be the coordinate and linear momentum in one dimension. Evaluate the classical Poisson bracket [x, F(px)] classical. b. Let x and px be the corresponding quantum-mechanical operators...
a. Gottfried (1966) states that can be ?easily derived? from the fundamental commutation relations for all functions of F and G that can be expressed as power series in their arguments. Verify this...
Your company BMG Inc. has to liquidate some equipment that is being replaced. The originally cost of the equipment is $120,000. The firm has deprecated 65% of the original cost. The salvage value of...
1. What are the steps that the company has to do in time of merger transaction? And What are the obstacle that may lead to merger failure? 2.What are the Exceptions to not to consolidate the...
Problem 12-22 Net Present Value Analysis [LO12-2] The Sweetwater Candy Company would like to buy a new machine that would automatically "dip" chocolates. The dipping operation currently is done...

Show that 1/2 are eigenfunctions of the one-spin Hamiltonian when it is written in angular frequency units

Question:

Hone spinl

Step by Step Answer:

We let Hone spin act on the wavefunction 12 Hone spin 12 0 I z 12 12 0 12 whe...View the full answer

Understanding NMR Spectroscopy

Students also viewed these Modern Physics questions