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--- equations:pauli_equation [2018/03/26 16:38]
jakobadmin
+++ equations:pauli_equation [2018/04/16 09:09] (current)
jakobadmin [Intuitive]
@@ Line 1: / Line 1: @@
-====== Pauli Equation: $ \quad \left( \frac{1}{2m}(\vec \sigma ( \vec p - q\vec A))^2 + q\phi \right) \Psi = i \hbar \partial_t \Psi $ ======
+<WRAP lag>$\left( \frac{1}{2m}(\vec \sigma ( \vec p - q\vec A))^2 + q\phi \right) \Psi = i \hbar \partial_t \Psi $</WRAP>
+====== Pauli Equation  ======
-<tabbox Why is it interesting?>
-The Pauli equation is the correct __non-relativistic__ equation to describe spin $1/2$ particles.
-<tabbox Layman>
-<note tip>
+<tabbox Intuitive>
-Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
-</note>
+The Pauli equation describes how the state of a quantum system with [[basic_notions:spin|half-integer spin]] changes in time.
-<tabbox Student>
+In contrast, the [[equations:schroedinger_equation|Schrödinger equation]] describes the time evolution of systems without spin.
+<tabbox Concrete>
 The Pauli equation is the non-relativistic limit of the [[equations:dirac_equation|Dirac equation]].
-<tabbox Researcher>
+<tabbox Abstract>
   * Nonrelativistic particles and wave equations by Jean-Marc Lévy-Leblond
+<tabbox Why is it interesting?>
+The Pauli equation is the correct __non-relativistic__ equation to describe spin $1/2$ particles.
 <tabbox Definitions>