SYMMETRIES in PHYSICS

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Symmetry and Spontaneous Symmetry Breaking Selected Groups and Symmetries Spontaneous Symmetry Breaking Spontaneous Symmetry Breaking - Interpretation [1] Essential Facts about our Physical System: 1 Considered system has 1 degree of freedom and axial symmetry 2 ... but in the generalised coordinates only 1 discrete symmetry: U(ϑ) = 2mgr sin 2 (ϑ/2)[1 − β cos 2 (ϑ/2)] ↔ U(+ϑ) = U(−ϑ) Essential Conclusions from Our Analysis: 1 This symmetry holds for β < β crit. and β > β crit. potentials 2 This symmetry holds only for one i.e. the β < β crit. solution 3 For the β > β crit. solutions we have either ϑ o > 0 or ϑ o < 0 4 For the β > β crit. solutions the original symmetry is violated 5 We have considered only the lowest energy (’ground’) states Jerzy DUDEK SYMMETRIES in PHYSICS
Symmetry and Spontaneous Symmetry Breaking Selected Groups and Symmetries Spontaneous Symmetry Breaking Spontaneous Symmetry Breaking - Interpretation [1] Essential Facts about our Physical System: 1 Considered system has 1 degree of freedom and axial symmetry 2 ... but in the generalised coordinates only 1 discrete symmetry: U(ϑ) = 2mgr sin 2 (ϑ/2)[1 − β cos 2 (ϑ/2)] ↔ U(+ϑ) = U(−ϑ) Essential Conclusions from Our Analysis: 1 This symmetry holds for β < β crit. and β > β crit. potentials 2 This symmetry holds only for one i.e. the β < β crit. solution 3 For the β > β crit. solutions we have either ϑ o > 0 or ϑ o < 0 4 For the β > β crit. solutions the original symmetry is violated 5 We have considered only the lowest energy (’ground’) states 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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