Spin in Three Dimensions
Welcome back to our open access course on Quantum Mechanics!
Quantum Mechanics for the Working Professional
Episode 03 : Spin in Three Dimensions
Copyright 2021, Pasayten Institute (CC BY-SA 4.0)
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Description and Timestamps:
2:19 : The Complex Numbers
5:40 : Complex quantum states
7:40 : The quantum state parametrizing a 3-sphere in four dimensions
8:15 : Quantum States, Complex numbers and Spin
10:56 : Orthonormal Bases for Spin in the x,y and z directions
13:22 : The algebra of spin
14:45 : The commutator
16:19 : The full algebra of spin operators
This section introduces some mathematical tools that we will make extensive use of in what follows. It also demonstrates how the difference between classical and quantum physics can be quantified - depending upon the constant hbar.
hbar = 1.0545718 × 10-34 m2 kg / s
https://physics.nist.gov/cgi-bin/cuu/...
In this module we will review:
1. Complex Numbers
2. Complex Quantum States and Operators
3. The Commutator
4. The Algebra of Spin
Timestamps
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Course Website:
http://pasayten.org/quantum-mechanics...
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CC BY-SA 4.0 details:
https://creativecommons.org/licenses/...