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Applied Geometric Algebra, Spring 2009
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Laszlo Tisza was Professor of Physics Emeritus at MIT, where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Algebra" taught by Professor Tisza in the Spring of 1976. Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza's attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems. The lecture notes came to MIT OpenCourseWare by way of Samuel Gasster, '77 (Course 18), who had taken the course and kept a copy of the lecture notes for his own reference. He dedicated dozens of hours of his own time to convert the typewritten notes into LaTeX files and then publication-ready PDFs. You can read about his motivation for wanting to see these notes published in his Preface below. Professor Tisza kindly gave his permission to make these notes available on MIT OpenCourseWare.

Subject:
Algebra
Mathematics
Physical Science
Physics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Tisza, L
Date Added:
01/01/2009
Applied Quantum and Statistical Physics, Fall 2006
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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:
Physical Science
Physics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Orlando, Terry
Date Added:
01/01/2006
Band Structure
Unrestricted Use
CC BY
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Explore the origin of energy bands in crystals of atoms. The structure of these bands determines how materials conduct electricity.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Chris Malley
Kathy Perkins
Malley, Chris
McKagan, Sam
Perkins, Kathy
PhET Interactive Simulations
Sam McKagan
Wieman, Carl
Date Added:
10/04/2006
Cold War Science, Fall 2008
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CC BY-NC-SA
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" This seminar examines the history and legacy of the Cold War on American science. It explores scientist's new political roles after World War II, ranging from elite policy makers in the nuclear age to victims of domestic anti Communism. It also examines the changing institutions in which the physical sciences and social sciences were conducted during the postwar decades, investigating possible epistemic effects on forms of knowledge. The subject closes by considering the place of science in the post-Cold War era."

Subject:
Physical Science
Physics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Kaiser, David
Date Added:
01/01/2008
Concept Questions for the Photoelectric Effect with Interactive Simulation
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CC BY-NC-SA
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These are interactive lecture-demonstration questions probe student understanding of fundamental concepts in the photoelectric effect.

Subject:
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Author:
Terry Bradfield
Date Added:
02/10/2023
Davisson-Germer: Electron Diffraction
Unrestricted Use
CC BY
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Simulate the original experiment that proved that electrons can behave as waves. Watch electrons diffract off a crystal of atoms, interfering with themselves to create peaks and troughs of probability.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Kathy Perkins
McKagan, Sam
Perkins, Kathy
PhET Interactive Simulations
Reid, Sam
Sam McKagan
Sam Reid
Wieman, Carl
Date Added:
10/02/2006
Descriptive Introduction to Physics, Fall 2012
Only Sharing Permitted
CC BY-NC-ND
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Letters and Science C70V / Physics C10: Descriptive Introduction to Physics, Fall 2012. This course covers the most interesting and important topics in physics, stressing conceptual understanding rather than math, with applications to current events. Topics covered may vary and may include energy and conservation, radioactivity, nuclear physics, the Theory of Relativity, lasers, explosions, earthquakes, superconductors, and quantum physics.

Subject:
Physical Science
Physics
Material Type:
Full Course
Lecture
Provider:
U.C. Berkeley
Provider Set:
U.C. Berkeley Webcast
Author:
Yury G. Kolomensky
Date Added:
09/16/2012
Double Wells and Covalent Bonds
Unrestricted Use
CC BY
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Explore tunneling splitting in double well potentials. This classic problem describes many physical systems, including covalent bonds, Josephson junctions, and two-state systems such as spin 1/2 particles and ammonia molecules.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Chris Malley
Kathy Perkins
Malley, Chris
McKagan, Sam
Perkins, Kathy
PhET Interactive Simulations
Sam McKagan
Wieman, Carl
Date Added:
10/04/2006
Fourier: Making Waves
Unrestricted Use
CC BY
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Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Chris Malley
Danielle Harlow
Harlow, Danielle
Malley, Chris
McKagan, Sa
PhET Interactive Simulations
Sam McKagan
Wieman, Carl
Date Added:
10/02/2006
Lasers
Unrestricted Use
CC BY
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Create a laser by pumping the chamber with a photon beam. Manage the energy states of the laser's atoms to control its output.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Harlow, Danielle
Kathy Perkins
LeMaster, Ron
McKagan, Sam
Perkins, Kathy
PhET Interactive Simulations
Ron LeMaster
Sam McKagan
Wieman, Carl
Date Added:
09/28/2006
Nano-to-Macro Transport Processes, Spring 2012
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CC BY-NC-SA
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Parallel treatments of photons, electrons, phonons, and molecules as energy carriers, aiming at fundamental understanding and descriptive tools for energy and heat transport processes from nanoscale continuously to macroscale. Topics include the energy levels, the statistical behavior and internal energy, energy transport in the forms of waves and particles, scattering and heat generation processes, Boltzmann equation and derivation of classical laws, deviation from classical laws at nanoscale and their appropriate descriptions, with applications in nano- and microtechnology.

Subject:
Physical Science
Physics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Gang Chen
Date Added:
01/01/2012
Neon Lights & Other Discharge Lamps
Unrestricted Use
CC BY
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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.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Harlow, Danielle
Kathy Perkins
Lemaster, Ron
McKagan, Sam
Perkins, Kathy
PhET Interactive Simulations
Ron LeMaster
Sam McKagan
Wieman, Carl
Date Added:
09/13/2006
Photoelectric Effect
Unrestricted Use
CC BY
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See how light knocks electrons off a metal target, and recreate the experiment that spawned the field of quantum mechanics.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Danielle Harlow
Harlow, Danielle
Kathy Perkins
LeMaster, Ron
McKagan, Sam
Perkins, Kathy
PhET Interactive Simulations
Ron LeMaster
Sam McKagan
Wieman, Carl
Date Added:
09/10/2006
Physics for Future Presidents Spring, 2006
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CC BY-NC-ND
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Physics for Future Presidents Spring, 2006. The title is serious. The official designation is Physics 10 and is sometimes called qualitative physics -- but this is not trivial physics. You will be learning material that is generally not learned by the physicist until after earning a Ph.D. After every lecture, you should come away with the feeling that what was just covered is important for every world leader to know. Topics covered may vary and may include energy and conservation, radioactivity, nuclear physics, the Theory of Relativity, lasers, explosions, earthquakes, superconductors, and quantum physics.

Subject:
Physical Science
Physics
Material Type:
Full Course
Lecture
Provider:
U.C. Berkeley
Provider Set:
U.C. Berkeley Webcast
Author:
Richard Muller
Date Added:
01/15/2006
Quantum Atomic Structure
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CC BY-NC-SA
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This is an outline for how one could incorporate quantum mechanics into atomic structure. Students really seem to get hooked on it and it makes atomic structure way more interesting to teach.

Subject:
Chemistry
Physical Science
Material Type:
Activity/Lab
Assessment
Lesson Plan
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Date Added:
02/10/2023
Quantum Bound States
Unrestricted Use
CC BY
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Explore the properties of quantum "particles" bound in potential wells. See how the wave functions and probability densities that describe them evolve (or don't evolve) over time.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Carl Wieman
Chris Malley
Kathy Perkins
Malley, Chris
McKagan, Sam
Perkins, Kathy
PhET Interactive Simulations
Sam McKagan
Wieman, Carl
Date Added:
10/02/2006
Quantum Field Theory
Read the Fine Print
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The first free comprehensive textbook on quantum (and classical) field theory. The approach is pragmatic, rather than traditional or artistic: It includes practical techniques, such as the 1/N expansion (color ordering) and spacecone (spinor helicity), and diverse topics, such as supersymmetry and general relativity, as well as introductions to supergravity and strings. The PDF version can be more convenient than paper books, with Web links and a clickable outline (contents) window.

Subject:
Physical Science
Physics
Material Type:
Textbook
Provider:
SUNY Stony Brook
Author:
Warren Siegel
Date Added:
11/09/2017
Quantum Physics: An Introduction
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CC BY-NC-SA
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Introduction to Quantum Physics concepts with an activity demonstrating Heisenberg's Uncertainty Principle, wave/particle duality, Planck's Constant, de Broglie wavelength, and how Newton's Laws go right out the window on a quantum level.

Subject:
Physical Science
Physics
Material Type:
Activity/Lab
Assessment
Lesson Plan
Simulation
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Date Added:
02/10/2023