advanced_tools:group_theory:u1

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advanced_tools:group_theory:u1 [2018/05/03 13:04] jakobadmin ↷ Links adapted because of a move operation |
advanced_tools:group_theory:u1 [2018/05/05 12:37] (current) 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: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 $1$: | + | Phase factors $e^{i \phi(\vec x,t)}$, like they appear in [[theories:quantum_mechanics:canonical|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: 2018/05/05 12:37 by jakobadmin

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