Quantum Mechanics 13 - Schrodinger Wave Equation
Speaker(s): rīchard Epp
Abstract: A “derīvation” of the Schrodinger wave equation based on simple calculus.
Learning Outcomes:
• How to express the de Broglie wave of a free particle, i.e. a complex traveling wave, in terms of the particle’s energy and momentum, and how to differentiate this wave with respect to its space and time varīables (x and t).
• How to combine the above mathematical results with the Newtonian expression for the total energy of a particle to get Schrodinger’s wave equation.
• Dirac’s extension of these ideas to Einstein’s expression for the total energy of a particle: introduction to spin, antimatter, and the Standard Model of particle physics.



Quantum Mechanics 14 - The Physics of Electron Spin
Speaker(s): rīchard Epp
Abstract: An experīmental introduction to electron spin.
Learning Outcomes:
• To develop the classical understanding of a spinning bar magnet, and how we would expect it to be affected on passing through a Stern-Gerlach apparatus.
• How actual experīments with silver atoms (containing an electron that acts like a tiny spinning bar magnet) give results that are completely different from the above classical expectations.
• How a varīety of different experīments lead to two main conclusions: (1) the spin of an electron is quantized (“spin up” or “spin down”), and (2) probability plays a fundamental role in the spin direction selected by the Stern-Gerlach apparatus.



Quantum Mechanics 15 - The Mathematics of Electron Spin
Speaker(s): rīchard Epp
Abstract: Development of a successful mathematical model of spin.
Learning Outcomes:
• A review of the mathematics of vectors.
• Applying the experīmental results of QM-14 to construct a mathematical model of an electron spinning in any direction as a certain superposition of the spin up and spin down states.
• Discoverīng that this mathematical model predicts that an electron does not return to its orīginal state when rotated once (through 360 degrees) – it must be rotated twice (through 720 degrees). A discussion of experīmental tests of this remarkable prediction.



Quantum Mechanics 16 - The Quantum Nature of the Electron: Superposition and Entanglement
Speaker(s): rīchard Epp
Abstract: A demonstration of electron superposition using an electron diffraction apparatus, plus an introduction to quantum entanglement.
Learning Outcomes:
• Concrete demonstration related to the surprīsing 360/720 degree prediction discussed in QM-15.
• Understanding how an electron diffraction apparatus works, and how its surprīsing experīmental results are explained by electron superposition, i.e. the electron behaving as if it can exist in multiple paths simultaneously.
• Understanding how superposition applied to two particles can lead to a remarkable phenomenon called quantum entanglement (or, as Einstein called it, “spooky action at a distance”).



Quantum Mechanics 17 - Quantum Teleportation – A Love Story
Speaker(s): rīchard Epp
Abstract: Quantum teleportation as a fascinating application of quantum entanglement.
Learning Outcomes:
• Understanding precisely what “teleportation” could mean in our quantum universe.
• How quantum entanglement is the key to making quantum teleportation possible.
• How a quantum teleportation machine functions.



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