SYMMETRIES in PHYSICS

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Symmetry and Spontaneous Symmetry Breaking What Did We Learn? Selected Groups and Symmetries Spontaneous Symmetry Breaking In the 132 Sn nucleus with 50 protons and 82 neutrons: ... the wave functions do not obey the spherical symmetry ... They transform under irreducible representations of the SO 3 Calculation shows that the energy eigen-values are degenerate: (degeneracy equal to 2j+1) Question: What happens if we continue adding nucleons to 132 Sn? Experiments will show that the resulting systems are NOT spherically symmetric! Strange! - since the Hamiltonian of the system obeys the rotational symmetry exactly!! Let us have closer look... Jerzy DUDEK SYMMETRIES in PHYSICS
Symmetry and Spontaneous Symmetry Breaking Selected Groups and Symmetries Spontaneous Symmetry Breaking Fundamental Symmetries of Nuclear Forces [1] Denote ˆx df . = {⃗r,⃗p,⃗s,⃗t}. Nuclear interactions have the form ̂V (ˆx 1 , ˆx 2 ) ≡ ̂V C (ˆx 1 , ˆx 2 ) + ̂V T (ˆx 1 , ˆx 2 ) + ̂V LS (ˆx 1 , ˆx 2 ) + ̂V LL 2(ˆx 1 , ˆx 2 ) where: C-central, T -tensor, LS-spin-orbit and LL 2 -quadratic LS Central Interaction (r 12 ≡ |⃗r 1 −⃗r 2 |) ̂V C (ˆx 1 , ˆx 2 ) = V 0 (r 12 ) + V s (r 12 ) [⃗s (1) · ⃗s (2) ] + V t (r 12 ) [⃗t (1) ·⃗t (2) ] + V s−t (r 12 ) [⃗s (1) · ⃗s (2) ] [⃗t (1) ·⃗t (2) ] Invariant under rotations, translations, inversion and time-reversal 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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Selected Groups and Symmetries Spon
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SYMMETRIES in PHYSICS

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