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37 lines
1.3 KiB
Plaintext
37 lines
1.3 KiB
Plaintext
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Review of Braket notation
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Moving toward the interaction of two spins
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(pic) Set up one spin Braket notation
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(pic) some spin geometry, showing how certain currents attract eachother
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Two Spins
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Chapter 5 - Two Spins
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(pic) 𝐒₁⋅𝐒₂ OR 2A/ħ²𝐒₁⋅𝐒₂ in book
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hydrogen spin-orbit hamiltonian Ĥ = -γ 𝐒⋅𝐋
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4 possible states
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❙S₁𝓏=+½ S₂𝓏=+½❭ = ❙½❭⨂❙½❭
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❙S₁𝓏=+½ S₂𝓏=-½❭
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❙S₁𝓏=-½ S₂𝓏=+½❭
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❙S₁𝓏=-½ S₂𝓏=-½❭
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(pic) expanded ❙½❭⨂❙½❭
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(pic x2) finding representations for all of the operators in the two-spin system
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(pic) Worked out some operations on various possible states, using direct product spaces
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(pic x2) Diagonalized 𝐒₁⋅𝐒₂
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!!! missing a factor of 2 somewhere in these pictures
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