SYMMETRIES in PHYSICS

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Symmetry and Spontaneous Symmetry Breaking Point Groups: Simple and Double Selected Groups and Symmetries Spontaneous Symmetry Breaking Vector Fields Ψ vs Spinor Fields Φ If the objects Ψ do not change under the rotation ˆR(2π) ˆR(2π) Ψ = +Ψ → bosons ↔ simple groups: Example T d If the objects Φ change the sign under the rotation ˆR(2π) ˆR(2π) Φ = −Φ → fermions ↔ double groups: Example T D d Remarks - Comments Objects in classical mechanics, integer rank tensors like boson wave-functions transform under simple point-groups: D 2h , T d Spinors - the non-collective wave functions of fermions - transform under double point-groups: D D 2h , T D d , OD h ... Jerzy DUDEK SYMMETRIES in PHYSICS
Symmetry and Spontaneous Symmetry Breaking Point Groups: Simple and Double Selected Groups and Symmetries Spontaneous Symmetry Breaking Vector Fields Ψ vs Spinor Fields Φ If the objects Ψ do not change under the rotation ˆR(2π) ˆR(2π) Ψ = +Ψ → bosons ↔ simple groups: Example T d If the objects Φ change the sign under the rotation ˆR(2π) ˆR(2π) Φ = −Φ → fermions ↔ double groups: Example T D d Remarks - Comments Objects in classical mechanics, integer rank tensors like boson wave-functions transform under simple point-groups: D 2h , T d Spinors - the non-collective wave functions of fermions - transform under double point-groups: D D 2h , T D d , OD h ... Jerzy DUDEK SYMMETRIES in PHYSICS
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SYMMETRIES in PHYSICS Jerzy DUDEK I
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Symmetry and Groups: Historical Asp
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Symmetry and Spontaneous Symmetry B
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SYMMETRIES in PHYSICS

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