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advanced_tools:group_theory:u1

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advanced_tools:group_theory:u1 [2018/05/03 11:04]
jakobadmin ↷ Links adapted because of a move operation
advanced_tools:group_theory:u1 [2018/05/05 10:37] (current)
jakobadmin ↷ Links adapted because of a move operation
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 <tabbox Intuitive> ​ <tabbox Intuitive> ​
  
-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 10:37 by jakobadmin