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Wavepackets and Fourier representation

PROFESSOR: We'll begin by discussing the wave packets and uncertainty. So it's our first look into this Heisenberg uncertainty relationships. And to begin with, let's focus it as fixed time, t equals zero. So we'll work with packets at t equals zero. And I will write a particular wave function that you may have at t equals 0, and it's a superposition of plane waves. So it would be e to the ikx. You sum over many of them, so you're going to sum over k, but you're going to do it with a weight, and that's 5k. And there's a lot to learn about this, but the physics that is encoded here is that any wave at time equals 0, this psi of x at time equals 0, can be written as a superposition of states with momentum h bar k. You remember e to the ikx represents a particle or a wave that carries momentum h bar k. So this whole idea here of a general wave function being written in this way carries physical meaning for us. It's a quantum mechanical...

Time delay and resonances

PROFESSOR: Let me begin by introducing the subject. The subject is resonances. And we have seen, actually, a little bit of this in the resonant transmission of the Ramsauer-Townsend effect. Because of a resonance phenomenon within the square well obstacle, somehow, for some particular frequencies, for some particular energies, the particles were able to zoom by without experiencing any reflection, whatsoever. So let's begin the subject of resonances by asking a question. If you have the usual potential, the short range potential, which means, that for some distance, R, greater than 0, the potential is 0. Here we put a barrier, and over there could be anything, some potential. We've computed some-- this concept of time delay, there's a formula for the time delay. In fact, it was given by 2 h bar d delta dE, the time delay, 2 h bar d delta dE. And we discussed that this time delay can be positive or it can be negative. If it's positive, it really means a tim...

Strategic Communication

Any time you begin a communication, whether face-to-face, in writing, or over the phone, it's important to think about why you've opened that line of communication, what the goal of your interaction is, and how you're going to deliver your message. In this video, we'll watch 3 segments of a presentation created by MIT students. You will analyze the strategy used to develop the message, and hear how and why the presenters chose this strategy. This video is part of the Communication video series. Successful professional communication begins with the ability to analyze situational variables and make strategic decisions. Hi, my name is Joanne Yates, and I'm a Sloan Distinguished Professor of Management and Deputy Dean in the Sloan School of Management at MIT. After watching this video, you should be able to use a strategic approach in order to communicate effectively. This means that you will be able to Analyze your audience, context and purpose Examine an...

Session 4 24.261 Philosophy of Love in the Western World

all right today we begin the third part of the course the first part remember dealt with questions related to your reading in my book the pursuit of love the second dealing with the myths of love in the case of two famous myths Don Juan and Kristen in his subtle and today we go into a different dimension because you're reading will be coming out of my recent book explorations and love and sex and at the time that book was published three years ago it was the most advanced for a state of my philosophy about love so it fits into the course and I'm eager to know what you think of it two things first notice that I said the latest stage there are at least two reasons for that one of which is that as time goes on my thinking changes I get new ideas and second because I don't believe that there is any single big idea about the nature of love that I am willing to espouse as my philosophy that's a view that comes from the rationalist tradition in which life is thou...