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4434Lecture 1: Introduction to the Spectroscopic Effective Hamiltonian
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This video was recorded at Introductory Quantum Mechanics II - Spring 2004. The Born-Oppenheimer approximation and matrix elements of terms in the effective molecular Hamiltonian that violate the BO approximation. Vibration, rotation, spin-orbit, interelectronic interaction. Hund's coupling cases.Lecture 2: Spectroscopic Pertubations, Predissociation, and Autoionization
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This video was recorded at Introductory Quantum Mechanics II - Spring 2004. Introduction to dynamical processes.Lecture 34: The Wonderful Quantum World - Breakdown of Classical Mechanics
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This video was recorded at MIT 8.01 Physics I: Classical Mechanics - Fall 1999. 1. Discrete Energy Levels: Electrons orbit their atomic nucleus in well defined orbits corresponding to discrete energy levels. The electrons can jump from one energy level to a vacant energy level, but they cannot exist in between. Transitions between these energy levels gives rise to absorption and emission of light in discrete spectral lines (wavelengths). The students are encouraged to look through their diffraction gratings at helium and neon light sources to see evidence of these discrete wavelengths of emitted light. 2. Particles and Waves: Quantum mechanics introduces some very non-intuitive concepts, e.g. light behaves as both a particle (a photon) and a wave, and a particle behaves like a wave with a wavelength inversely proportional to its momentum. Interference is a wave phenomenon, and indeed particles can interfere with each other. Both the position and momentum of a particle cannot be accurately specified at the same time (Heisenberg's uncertainty principle). 3. Diffraction by a Slit: Diffraction of light by a narrow vertical slit is a well understood classical wave phenomenon consistent with Heisenberg's uncertainty principle. The narrower the slit, the smaller is the uncertainty in the horizontal position of the photons which have to sneak through the narrow opening, so the greater is the horizontal spread of the transmitted protons (uncertainty in their momentum). Quantum mechanics only allows you to predict positions of particles with certain probabilities. In the classical, Newtonian, world you can predict the position and movement of a particle to any degree of accuracy - NOT in the microscopic quantum world. The Newtonian picture is perfect for describing the behaviour of basketballs and planets in the macroscopic world.Lecture 3: Semiclassical Methods for Calculating Vibrational Overlap Integrals
http://www.merlot.org/merlot/viewMaterial.htm?id=970809
This video was recorded at Introductory Quantum Mechanics II - Spring 2004. All coupling processes are mediated by vibrational overlap integrals, which are computed numerically. Semiclassical calculation of overlaps reveals physical factors controlling computed values: the length of the stationary phase region is controlled by the slopes of the potential curves at the intersection and the velocity in the crossing region.Lecture 4: Wavepackets and Landau-Zener
http://www.merlot.org/merlot/viewMaterial.htm?id=970811
This video was recorded at Introductory Quantum Mechanics II - Spring 2004. What happens in the vicinity of a curve crossing?Networks through a Quantum Lens
http://www.merlot.org/merlot/viewMaterial.htm?id=939342
This video was recorded at Workshop on Function Prediction in Complex Networks, Kavli Royal Society Centre, Chicheley Hall 2012. The workshop was funded by the Royal Society under the the Research Fellows International Scientific Seminars scheme, and the PASCAL2 network provided funding to cover the filming. The aim of the meeting was to bring together researchers from complex networks, and those working in machine learning and graph theory. The goal was to identify current challenges in complex networks analysis and identify possible methodologies for addressing them. The meeting was composed of four sessions: methods for measuring and characterising complex network structure. dynamic processes on complex networks. complex network function prediction. future directions, collaboration and networking. The presentations were not intended to be lectures focused on specific research results. Instead they were expected to summarize state-of-the-art or accepted wisdom, challenge it and pose a provocative agenda for the discussions. We thank Sir Peter Knight and the staff at the Royal Society Kavli Centre for providing a conducive and enjoyable environment for the meeting.Quantum information and stabilization of quantum states by feedback control
http://www.merlot.org/merlot/viewMaterial.htm?id=940001
This video was recorded at Workshop on Statistical Physics of Inference and Control Theory, Granada 2012. We give a basic account of quantum filtering and control from the point of view of quantum probability and information theory. We describe and prove the "no-cloning" principle, and Heisenberg's related principle which says that the leakage of information to the environment necesserily implies. a deterioration of the quantum state. A typical challenge to quantum technology issuing from this principle is to recover the leaked information and to feed it back into the system under control in order to preserve its state. We show that in the situation of discrete time and complete recovery such feedback control indeed enables us to stabilize any particular quantum state, pure or mixed. We illustrate this fact by an example where it is actually well-known: the fluorescent two-level atom (in a discrete time setting).Quantum information and the Brain
http://www.merlot.org/merlot/viewMaterial.htm?id=975700
This video was recorded at 26th Annual Conference on Neural Information Processing Systems (NIPS), Lake Tahoe 2012. Ever since quantum mechanics was discovered nearly a century ago, famous scientists from Eddington to Wigner to Compton to Eccles to Penrose have speculated about possible connections to the brain – a quest often parodied as "quantum mechanics is mysterious, the brain is mysterious, ergo they must be related somehow." In this talk, I'll offer a critical survey of these ideas from the modern standpoint of quantum information theory, pointing out the huge conceptual and experimental problems that have plagued most concrete proposals. However, I'll also explain why I think some role for quantum mechanics in cognition is not yet excluded, and discuss what sorts of advances in neuroscience and physics might help settle the question.Quantum Mechanics for the Uninitiated (i.e., for those who are still sane...)
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A presentation on the nature of science and how it relates to quantum mechanics. Level is for high school to beginning college. Takes the viewer through the quirks and seeming paradoxes of quantum mechanics, including the double slit experiment and Schrodinger's Cat.Quantum Mechanics Resource Packet
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This applet displays the pictures and programming code for a square well, notchshaped, and parabolic potentials. Also, it displays a particle sloshing in a well with a bump in the middle, suggestions for a onedimensional lattice and a spherically symmetric 3D potential well, and information on Heisenbergs Uncertainty Relation. The Maple programming code is available in text and downloadable form for most of these scenarios.