User Tools

Site Tools


advanced_tools:fiber_bundles

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
Next revision Both sides next revision
advanced_tools:fiber_bundles [2018/05/03 12:54]
46.229.168.66 ↷ Links adapted because of a move operation
advanced_tools:fiber_bundles [2018/05/05 12:37]
jakobadmin ↷ Links adapted because of a move operation
Line 5: Line 5:
 {{ :​advanced_tools:​unit-roots-100.gif?​nolink|}} {{ :​advanced_tools:​unit-roots-100.gif?​nolink|}}
  
-Phase factors $e^{i \theta(\vec x,t)}$, 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 $e^{i \theta(\vec x,t)}$, 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 $1$:
  
 The wave function that describes an electron has a specific phase $\Psi(\vec x,t)= |\Psi(\vec x,t)|e^{i \theta(\vec x,t)}$ at each point $\vec x$ at any given moment $t$. Each such phase $\theta$ can be represented by a dot on the unit circle. The wave function that describes an electron has a specific phase $\Psi(\vec x,t)= |\Psi(\vec x,t)|e^{i \theta(\vec x,t)}$ at each point $\vec x$ at any given moment $t$. Each such phase $\theta$ can be represented by a dot on the unit circle.
advanced_tools/fiber_bundles.txt · Last modified: 2020/10/28 16:31 by 89.36.76.154