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SYMMETRIES in PHYSICS

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Symmetry and Spontaneous Symmetry Break<strong>in</strong>g<br />

Selected Groups and Symmetries<br />

Spontaneous Symmetry Break<strong>in</strong>g<br />

Example: An Exactly Spherically-Symmetric Nucleus<br />

Consider 132 Sn nucleus with 50 protons and 82 neutrons<br />

Are the wave-functions obey<strong>in</strong>g the spherical symmetry?<br />

How the Pauli pr<strong>in</strong>ciple can be seen from the 3D perspective?<br />

H<strong>in</strong>t:<br />

To answer these questions we solve the correspond<strong>in</strong>g realistsic problem<br />

of motion and obta<strong>in</strong> the energies and wave functions<br />

Jerzy DUDEK<br />

<strong>SYMMETRIES</strong> <strong>in</strong> <strong>PHYSICS</strong>

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