advanced_tools:group_theory:u1
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advanced_tools:group_theory:u1 [2018/05/03 12:54] 46.229.168.66 ↷ Links adapted because of a move operation |
advanced_tools:group_theory:u1 [2018/05/03 13:04] jakobadmin ↷ Links adapted because of a move operation |
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| - | Phase factors $e^{i \phi(\vec x,t)}$, like they appear in [[theories:canonical_quantum_mechanics|quantum mechanics]], are just complex numbers with amplitude $1$. Therefore, we can picture them as points on a circle with radius $1$: | + | Phase factors $e^{i \phi(\vec x,t)}$, like they appear in [[theories:quantum_mechanics:canonical_quantum_mechanics|quantum mechanics]], are just complex numbers with amplitude $1$. Therefore, we can picture them as points on a circle with radius $1$: |
| This collection of all complex numbers with amplitude $1$ is what we call the group $U(1)$. | This collection of all complex numbers with amplitude $1$ is what we call the group $U(1)$. | ||
advanced_tools/group_theory/u1.txt · Last modified: 2023/04/17 03:25 by edi
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