Advanced Quantum Mechanics Stanford

 Science


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1. Advanced Quantum Mechanics Lecture 1
After a brief review of the prior Quantum Mechanics course, Leonard Susskind introduces the concept of symmetry, and present a specific example of translational symmetry.

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2. Advanced Quantum Mechanics Lecture 2
Leonard Susskind presents an example of rotational symmetry and derives the angular momentum operator as the generator of this symmetry. He then discusses symmetry groups and Lie algebras, and shows how these concepts require that magnetic quantum numbers  i.e. spin  must have whole or halfinteger values.

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3. Advanced Quantum Mechanics Lecture 3
Leonard Susskind derives the energy levels of electrons in an atom using the quantum mechanics of angular momentum, and then moves on to describe the quantum mechanics of the harmonic oscillator.

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4. Advanced Quantum Mechanics Lecture 4
Building on the previous discussion of atomic energy levels, Leonard Susskind demonstrates the origin of the concept of electron spin and the exclusion principle.

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5. Advanced Quantum Mechanics Lecture 5
Leonard Susskind introduces the spin statistics of Fermions and Bosons, and shows that a single complete rotation of a Fermion is not an identity operation, but rather induces a phase change that is detectable.

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6. Advanced Quantum Mechanics Lecture 6
Leonard Susskind introduces quantum field theory and it's connection to quantum harmonic oscillators. Gravity aside, quantum field theory offers the most complete theoretical description of our universe.