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Keywords: Quantum Mechanics
(Complete Item Description)
- Abstract: A comprehensive treatment of the theory of partial differential equations (pde) from an applied mathematics perspective. Equilibrium, propagation, diffusion, and other phenomena. Initial and boundary value problems. Transform methods, eigenvalue and eigenfunction expansions, Green's functions. Theory of characteristics and shocks. Boundary layers and other singular perturbation phenomena. Elementary concepts for the numerical solution of pde's. Illustrative examples from fluid dynamics, nonlinear waves, geometrical optics, and other applications.
- Subject:
Mathematics and Statistics
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: Fundamentals of nuclear physics for engineering students. Basic properties of the nucleus and nuclear radiations. Elementary quantum mechanical calculations of bound-state energies and barrier transmission probability. Binding energy and nuclear stability. Interactions of charged particles, neutrons, and gamma rays with matter. Radioactive decays. Energetics and general cross-section behavior in nuclear reactions.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: Fundamentals of nuclear physics for engineering students. Basic properties of the nucleus and nuclear radiations. Elementary quantum mechanical calculations of bound-state energies and barrier transmission probability. Binding energy and nuclear stability. Interactions of charged particles, neutrons, and gamma rays with matter. Radioactive decays. Energetics and general cross-section behavior in nuclear reactions.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: Elementary quantum mechanics and statistical physics. Introduces applied quantum physics. Emphasizes experimental basis for quantum mechanics. Applies Schrodinger's equation to the free particle, tunneling, the harmonic oscillator, and hydrogen atom. Variational methods. Elementary statistical physics; Fermi-Dirac, Bose-Einstein, and Boltzmann distribution functions. Simple models for metals, semiconductors, and devices such as electron microscopes, scanning tunneling microscope, thermonic emitters, atomic force microscope, and more.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: Elementary quantum mechanics and statistical physics. Introduces applied quantum physics. Emphasizes experimental basis for quantum mechanics. Applies Schrodinger's equation to the free particle, tunneling, the harmonic oscillator, and hydrogen atom. Variational methods. Elementary statistical physics; Fermi-Dirac, Bose-Einstein, and Boltzmann distribution functions. Simple models for metals, semiconductors, and devices such as electron microscopes, scanning tunneling microscope, thermonic emitters, atomic force microscope, and more.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: This course uses the theory and application of atomistic computer simulations to model, understand, and predict the properties of real materials. Specific topics include: energy models from classical potentials to first-principles approaches; density functional theory and the total-energy pseudopotential method; errors and accuracy of quantitative predictions: thermodynamic ensembles, Monte Carlo sampling and molecular dynamics simulations; free energy and phase transitions; fluctuations and transport properties; and coarse-graining approaches and mesoscale models. The course employs case studies from industrial applications of advanced materials to nanotechnology. Several laboratories will give students direct experience with simulations of classical force fields, electronic-structure approaches, molecular dynamics, and Monte Carlo.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: Explore the origin of energy bands in crystals of atoms. The structure of these bands determines how materials conduct electricity. Teacher's guide available.
(Complete Item Description)
- Abstract: The theoretical frameworks of Hartree-Fock theory and density functional theory are presented as approximate methods to solve the many-electron problem. A variety of ways to incorporate electron correlation are discussed. The application of these techniques to calculate the reactivity and spectroscopic properties of chemical systems, in addition to the thermodynamics and kinetics of chemical processes, is emphasized. This course also focuses on cutting edge methods to sample complex hypersurfaces, for reactions in liquids, catalysts and biological systems.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: Experiment with conductivity in metals, plastics and photoconductors. See why metals conduct and plastics don't, and why some materials conduct only when you shine a flashlight on them
(Complete Item Description)
- Abstract: Produce light by bombarding atoms with electrons. See how the characteristic spectra of different elements are produced, and configure your own element's energy states to produce light of different colors.
(Complete Item Description)
- Abstract: This class will study some of the changing ideas within modern physics, ranging from relativity theory and quantum mechanics to solid-state physics, nuclear and elementary particles, and cosmology. These ideas will be situated within shifting institutional, cultural, and political contexts. The overall aim is to understand the changing roles of physics and of physicists over the course of the twentieth century.
- Subject:
Science and Technology, Social Sciences
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: This class explores the changing roles of physics and physicists during the 20th century. Topics range from relativity theory and quantum mechanics to high-energy physics and cosmology. The course also examines the development of modern physics within shifting institutional, cultural, and political contexts, such as physics in Imperial Britain, Nazi Germany, U.S. efforts during World War II, and physicists' roles during the Cold War.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: What sorts of things get physicists (or wannabe physicists, like the teacher of this class) excited? Is it the dream of building grand intellectual edifices capable of describing the Universe with amazing accuracy and elegance? Or, perhaps, discovering something so unexpected that it totally blows your mind? Maybe it's simply the act of doing physics! Whatever the case, there are certainly many things in physics to get excited about, and we'll explore some of them in this class.
(Complete Item Description)
- Abstract: Junior Lab consists of two undergraduate courses in experimental physics. The courses are offered by the MIT Physics Department, and are usually taken by Juniors (hence the name). Officially, the courses are called Experimental Physics I and II and are numbered 8.13 for the first half, given in the fall semester, and 8.14 for the second half, given in the spring.The purposes of Junior Lab are to give students hands-on experience with some of the experimental basis of modern physics and, in the process, to deepen their understanding of the relations between experiment and theory, mostly in atomic and nuclear physics. Each term, students choose 5 different experiments from a list of 21 total labs.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: Explore the forces at work when you try to push a filing cabinet. Create an applied force and see the resulting friction force and total force acting on the cabinet. Charts show the forces, position, velocity, and acceleration vs. time. View a Free Body Diagram of all the forces (including gravitational and normal forces).
(Complete Item Description)
- Abstract: This is the first semester in a two-semester introductory course focused on current theories of structure and mechanism in organic chemistry, their historical development, and their basis in experimental observation. The course is open to freshmen with excellent preparation in chemistry and physics, and it aims to develop both taste for original science and intellectual skills necessary for creative research.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
Open Yale Courses
(Complete Item Description)
- Abstract: This subject describes the fundamentals of bonding, energetics, and structure that underpin materials science. From electrons to silicon to DNA: the role of electronic bonding in determining the energy, structure, and stability of materials. Quantum mechanical descriptions of interacting electrons and atoms. Symmetry properties of molecules and solids. Structure of complex and disordered materials. Introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to molecular models of materials. Develops basis for understanding a broad range of materials phenomena, from heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism. Fundamentals are taught using real-world examples such as engineered alloys, electronic and magnetic materials, ionic and network solids, polymers, and biomaterials.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: This course focuses on the fundamentals of structure, energetics, and bonding that underpin materials science. It is the introductory lecture class for sophomore students in Materials Science and Engineering, taken with 3.014 and 3.016 to create a unified introduction to the subject. Topics include: an introduction to thermodynamic functions and laws governing equilibrium properties, relating macroscopic behavior to atomistic and molecular models of materials; the role of electronic bonding in determining the energy, structure, and stability of materials; quantum mechanical descriptions of interacting electrons and atoms; materials phenomena, such as heat capacities, phase transformations, and multiphase equilibria to chemical reactions and magnetism; symmetry properties of molecules and solids; structure of complex, disordered, and amorphous materials; tensors and constraints on physical properties imposed by symmetry; and determination of structure through diffraction. Real-world applications include engineered alloys, electronic and magnetic materials, ionic and network solids, polymers, and biomaterials.
- Subject:
Science and Technology
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
(Complete Item Description)
- Abstract: This course is the second of a two-part introductory, calculus based, general physics course intended for non-physics majors. The course is designated to train you in a wide variety of problem-solving skills that you will be able to transfer far beyond this physics course. Doing well in this course does not require you to be a “genius”, but you will have to think about the physical concepts in order to understand them and you will have to apply these ideas in order to solve computational problems. To accomplish the former, all you really need is your brain (in good working order) and the willingness to use it. To accomplish the latter, you will need some mathematical skills. These are reviewed in Appendices A and B, located in the back of the course text.
(Complete Item Description)
- Abstract: Selection of material from the following topics: calculus of variations (the first variation and the second variation); integral equations (Volterra equations; Fredholm equations, the Hilbert-Schmidt theorem); the Hilbert Problem and singular integral equations of Cauchy type; Wiener-Hopf Method and partial differential equations; Wiener-Hopf Method and integral equations; group theory.
- Subject:
Mathematics and Statistics
- Grade Level:
Post-secondary
- Collection:
MIT OpenCourseWare
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