T26 – Groups and symmetries

10 Dezembro 2024, 11:00 • Ana Maria Formigal de Arriaga

Lie groups

• commutation relations of the generators and structure constants of the group
• three important theorems on Lie groups
• generators and the transformation properties of a set of states and of operators
• Casimir operators

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TP12 – Irreducible tensors

5 Dezembro 2024, 12:00 • Ana Maria Formigal de Arriaga

Set 5: Irreducible tensors

• Suggestions for resolution of problems: 2-5

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T25 – Groups and symmetries

5 Dezembro 2024, 11:00 • Ana Maria Formigal de Arriaga

• Invariant subspaces and irreducible representations of a group
• Equivalent representations
• Non-equivalent irreducible representations
• Tensor product of equivalent representations
• Lie groups
• definition, representations, and generators

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T24 – Groups and symmetries

3 Dezembro 2024, 11:00 • Ana Maria Formigal de Arriaga

• Invariant subspaces and irreducible representations of a group
• Irreducible matrix representations of a group
• Set of states that transform as an irreducible representation of a group
• Set of operators that transform as an irreducible representation of a group

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TP11 – Groups and Symmetry

28 Novembro 2024, 12:00 • Ana Maria Formigal de Arriaga

Set 4: Rotation operator

• Suggestions for resolution of problems: 5, 6 and 7

Set 5: Irreducible tensors

• Suggestions for resolution of problems: 1

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