8.06 is the third course in the three-sequence physics undergraduate Quantum Mechanics curriculum. By the end of this course, you will be able to interpret and analyze a wide range of quantum mechanical systems using both exact analytic techniques and various approximation methods. This course will introduce some of the important model systems studied in contemporary physics, including two-dimensional electron systems, the fine structure of Hydrogen, lasers, and particle scattering.

This course is a continuation of 8.05 Quantum Physics II. It introduces some of the important model systems studied in contemporary physics, including two-dimensional electron systems, the fine structure of hydrogen, lasers, and particle scattering.

A two-semester subject on quantum theory, stressing principles: uncertainty relation, observables, eigenstates, eigenvalues, probabilities of the results of measurement, transformation theory, equations of motion, and constants of motion. Symmetry in quantum mechanics, representations of symmetry groups. Variational and perturbation approximations. Systems of identical particles and applications. Time-dependent perturbation theory. Scattering theory: phase shifts, Born approximation. The quantum theory of radiation. Second quantization and many-body theory. Relativistic quantum mechanics of one electron. This is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation.

Laboratory or field work in earth, atmospheric, and planetary sciences. To be arranged with department faculty. Consult with department Education Office. This course introduces fundamentals of radon physics, geology, radiation biology; provides hands on experience of measurement of radon in MIT environments, and discusses current radon research in the fields of geology, environment, building and construction, medicine and health physics.

Discrete and continuum modeling of diffusion processes in physics, chemistry, and economics. Topics include central limit theorems, continuous-time random walks, Levy flights, correlations, extreme events, mixing, renormalization, and percolation.

In this activity, students use a microcomputer connected to a light sensor and temperature probe to explore the reflection and absorption of radiation for different surfaces. Students follow instructions in this guided inquiry based lab and are then asked to design an experiment of their own to either test the reflectivity of sand, soils, water and other materials or to investigate the effect of different surface textures on reflectivity. On this Starting Point page, users can access information about the exercise's learning goals, context for use, teaching notes and tips, teaching materials, assessment ideas, references and topics covered.

This is the review of Reflection and refraction Phet Simulation Lab https://louis.oercommons.org/courses/reflection-phet-interactive-simulationsby Himanshu Verma, Assistant Professor of Physics at Nicholls State University,

A three-semester subject sequence on quantum field theory stressing the relativistic quantum field theories relevant to the physics of the Standard Model. 8.323 is a one-semester self-contained subject in quantum field theory. Concepts and basic techniques are developed through applications in elementary particle physics and condensed matter physics. Includes the basic tools of field theory required for phenomenological studies. Topics: Functional integral formulation of quantum mechanics and many-particle systems. Classical field theory, symmetries, and Noether's theorem. Quantization of scalar fields. Feynman graphs, analytic properties of amplitudes and unitarity of the S-matrix. Renormalization and renormalization group. Spinors and the Dirac equation. Quantization of Dirac fields. Supersymmetry. Quantization of abelian gauge fields. Calculations in quantum electrodynamics. Classical Yang-Mills fields. The Higgs phenomenon and a description of the Standard Model. 8.324 is the second term of the quantum field theory sequence. Develops in depth some of the topics discussed in 8.323 and introduces some advanced material. Topics: Quantization of nonabelian gauge theories. BRST symmetry. Perturbation theory anomalies. Renormalization and symmetry breaking. The renormalization group. Critical exponents and scalar field theory. Conformal field theory. 8.325 is the third and last term of the quantum field theory sequence. Its aim is the proper theoretical discussion of the physic

" 8.323, Relativistic Quantum Field Theory I, is a one-term self-contained subject in quantum field theory. Concepts and basic techniques are developed through applications in elementary particle physics, and condensed matter physics. "

Normally taken by physics majors in their sophomore year. Einstein's postulates; consequences for simultaneity, time dilation, length contraction, clock synchronization; Lorentz transformation; relativistic effects and paradoxes; Minkowski diagrams; invariants and four-vectors; momentum, energy and mass; particle collisions. Relativity and electricity; Coulomb's law; magnetic fields. Brief introduction to Newtonian cosmology. Introduction to some concepts of General Relativity; principle of equivalence. The Schwarzchild metric; gravitational red shift, particle and light trajectories, geodesics, Shapiro delay. This course, which concentrates on special relativity, is normally taken by physics majors in their sophomore year. Topics include Einstein's postulates, the Lorentz transformation, relativistic effects and paradoxes, and applications involving electromagnetism and particle physics. This course also provides a brief introduction to some concepts of general relativity, including the principle of equivalence, the Schwartzschild metric and black holes, and the FRW metric and cosmology.

Relativity Lite is designed for the General Astronomy sequence (PH 361-2U, SCI 315-6U) whose primary book glosses over Special Relativity and General Relativity while trying to explain the Cosmology that is based on those subjects. Relativity Lite translates the mathematical equations conventional relativity texts rely upon into pictures that are readily understood and contain within them the mathematical essentials. This book provides the comprehensive coverage needed to understand, in sufficient depth, these three linked areas of our reality.

Readers seeking this knowledge on their own, and those in other courses for nonscientists, may also find it helpful.

This is a set of lecture notes for my course Relativity for Poets at Fullerton College. It's a nonmathematical presentation of Einstein's theories of special and general relativity, including a brief treatment of cosmology.

Students gather data by timing runners over 5 m intervals. Using that data, students graph distance and velocity over time.

Students are asked think-pair-share questions to predict the interaction of alpha particles fired toward the nucleus of an atom. An online applet is used to illustrate the interaction and test students' ideas for the causes of the interaction. This activity uses a resource in the comPADRE partner collection.

This course will thoroughly educate the successful student with the knowledge and skills necessary to be a certified beginning SCUBA diver. The prerequisite for the course is passing the MIT SCUBA swim test and demonstrating a "comfort level" in the water. At the end of the class, students will attempt to pass the certification exam to become certified divers. The class is taught in two parts each week: a classroom session and a pool session. The classroom sessions along with the reading material will provide the student with the knowledge necessary to pass the written exam. At the pool, the water skills are taught in progressions that build on the previous skills, making the difficult skills seem easy.

The purpose of this class is to tell you something about our Tech Dinghy and how to sail it. This OCW site is arranged as a series of skills, explained both with lecture notes and videos. Please do not think of these skill checks as tests, but instead, as measures of your understanding of our sport. We don‰ŰŞt expect perfection from our beginners, but only that our members be able to safely handle the boats and themselves on the Charles. For those who wish it, there will be much more that can be learned about other boats and other waters, but what can be learned here will provide the basis to build on. For more detail, a text on sailing the Tech Dinghy is provided in the readings section.

This course is an introduction to branes in string theory and their world volume dynamics. Instead of looking at the theory from the point of view of the world-sheet observer, we will approach the problem from the point of view of an observer which lives on a brane. Instead of writing down conformal field theory on the worldsheet and studying the properties of these theories, we will look at various branes in string theory and ask how the physics on their world-volume looks like.

Lectures and discussion introducing the range of topics relevant to plasma physics and fusion engineering. Introductory discussion of the economic and ecological motivation for the development of fusion power. Contemporary magnetic confinement schemes, theoretical questions, and engineering considerations are presented by expert guest lecturers. Tour of Plasma Science and Fusion Center experimental facilities.

The main objective of this cross disciplinary course is to understand the historical development and the current status of ideas and models, to present and question the constraints from the different research fields, and to investigate if and how the different views on mantle flow can be reconciled with the currently available data.

"This course provides an introduction to important philosophical questions about the mind, specifically those that are intimately connected with contemporary psychology and neuroscience. Are our concepts innate, or are they acquired by experience? (And what does it even mean to call a concept 'innate'?) Are 'mental images' pictures in the head? Is color in the mind or in the world? Is the mind nothing more than the brain? Can there be a science of consciousness? The course will include guest lectures by Professors."