We’re going to work out some things about the algebra of a spin-1 particle. First, note that there are three eigenstates of Sz for the spin one particle, with eigenvalues 0,±h̄. Let’s denote the orthonormal basis states |+ 1〉, |0〉, and |− 1〉, with eigenvalues +h̄, 0, and −h̄ respectively.
a What are the values of the below expressions?
Sz|+1〉 =
Sz|0〉 =
Sz|−1〉 =
We’re going to work out some things about the algebra of a spin-1 particle. First, note...
qm 2019.3
3. The Hamiltonian corresponding to the magnetic interaction of a spin 1/2 particle with charge e and mass m in a magnetic field B is À eB B. Ŝ, m where Ŝ are the spin angular momentum operators. You should make use of expres- sions for the spin operators that are given at the end of the question. (i) Write down the energy eigenvalue equation for this particle in a field directed along the y axis, i.e. B...
2. The spectral decomposition theorem states that the eigenstates of any Hermitian matrix form an orthonormal basis for the linear space. Let us consider a real 3D space where a vector is denoted by a 3x1 column vector. Consider the symmetric matrix B-1 1 1 Show that the vectors 1,0, and1are eigenvectors of B, and find 0 their eigenvalues. Notice that these vectors are not orthogonal. (Of course they are not normalized but let's don't worry about it. You can...
Problem 1 MATLAB
A Taylor series is a series expansion of a function f()about a given point a. For one-dimensional real-valued functions, the general formula for a Taylor series is given as ia) (a) (z- a) (z- a)2 + £(a (r- a) + + -a + f(x)(a) (1) A special case of the Taylor series (known as the Maclaurin series) exists when a- 0. The Maclaurin series expansions for four commonly used functions in science and engineering are: sin(x) (-1)"...
This looks long but it is easy just having some trouble please help out thank you. Find and fix all syntax and semantic errors which prevent the program from compiling. Find and fix all logical errors which cause the program to crash and/or produce unexpected results. In addition to making sure the code compiles, we have one final method which we need to complete. There is a method in the code, printAll, which is responsible for printing out the entirety...
JAVA PROJECT Part 1 - Normalize Text The first thing we will do is normalize the input message so that it’s easier to work with. Write a method called normalizeText which does the following: Removes all the spaces from your text Remove any punctuation (. , : ; ’ ” ! ? ( ) ) Turn all lower-case letters into upper-case letters Return the result. The call normalizeText(“This is some \“really\” great. (Text)!?”) should return “THISISSOMEREALLYGREATTEXT” Part 2 - Obfuscation...
Read Case Study 1: Gormand and Food—A Fable in Chapter 1 of your textbook. Identify the commonalities between this case study and the delivery of healthcare in the United States. What in this case study is not likely to occur to healthcare in the United States? Why? Gourmand and Food—A Fable225 The people of Gourmand loved good food. They ate in good restaurants, donated money for cooking research, and instructed their government to safeguard all matters having to do with...
Project 7: Vehicles 1 Objective In the last couple projects, you’ve created and used objects in interesting ways. Now you’ll get a chance to use more of what objects offer, implementing inheritance and polymorphism and seeing them in action. You’ll also get a chance to create and use abstract classes (and, perhaps, methods). After this project, you will have gotten a good survey of object-oriented programming and its potential. This project won’t have a complete UI but will have a...
The second problem, the one I'm asking about, is only making
changes to the first problem, which I have included the correct
code for. Thank you!!
een be modeled by diding the plate io adiscrese grid of cels and sulting the change in tenspentureof ell over 90 2.2 3) dared es dlebel css (saggestion:use5 both ves w fint, ut increme this 1o 20asee you get yeur pragranı warking. Your progrars shcald do the Sllasing lain the cs alus of the...
1). The retirement benefit of the Social Security program is
considered a progressive benefit with a regressive financing
scheme.
(1) How is the Social Security benefit progressive?
(2) How is its financing scheme regressive?
2). One of the main goals of the ACA (Patient Protection and
Affordable Care Act of 2010, aka Obamacare) was to provide
affordable health care to the uninsured.
1. What were the THREE primary pieces of the law that were meant to
provide coverage for everyone...
GE case study, Scenario - Case Study on General Electric (GE) by Jeffrey R. Immelt (Article adapted from Harvard Business Review) A CEO has different tasks in different cycles. Some CEOs are founders and builders. Others have the luxury of managing momentum through a stable economy or a period when business models aren’t being disrupted. My task was different: remaking a historic and iconic company during an extremely volatile time. I led a team of 300,000 people for 6,000 days....