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 equations:pauli_equation [2018/03/26 16:38]jakobadmin equations:pauli_equation [2018/04/16 09:09] (current)jakobadmin [Intuitive] Both sides previous revision Previous revision 2018/04/16 09:09 jakobadmin [Intuitive] 2018/03/28 10:22 jakobadmin 2018/03/28 10:22 jakobadmin 2018/03/26 16:40 jakobadmin 2018/03/26 16:38 jakobadmin 2018/03/13 11:14 jakobadmin [Why is it interesting?] 2018/03/13 11:14 jakobadmin 2018/03/13 11:13 jakobadmin 2018/03/13 11:12 jakobadmin 2018/03/13 11:12 jakobadmin 2017/12/04 08:01 external edit2017/10/21 15:29 jakobadmin created Next revision Previous revision 2018/04/16 09:09 jakobadmin [Intuitive] 2018/03/28 10:22 jakobadmin 2018/03/28 10:22 jakobadmin 2018/03/26 16:40 jakobadmin 2018/03/26 16:38 jakobadmin 2018/03/13 11:14 jakobadmin [Why is it interesting?] 2018/03/13 11:14 jakobadmin 2018/03/13 11:13 jakobadmin 2018/03/13 11:12 jakobadmin 2018/03/13 11:12 jakobadmin 2017/12/04 08:01 external edit2017/10/21 15:29 jakobadmin created Line 1: Line 1: - ====== Pauli Equation: ​$\quad \left( \frac{1}{2m}(\vec \sigma ( \vec p - q\vec A))^2 + q\phi \right) \Psi = i \hbar \partial_t \Psi$ ====== + $\left( \frac{1}{2m}(\vec \sigma ( \vec p - q\vec A))^2 + q\phi \right) \Psi = i \hbar \partial_t \Psi$​ + ====== Pauli Equation ​ ====== -  ​ - The Pauli equation is the correct __non-relativistic__ equation to describe spin $1/2$ particles. ​ -  ​ - + - 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. + - ​ + 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]]. ​ 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 * Nonrelativistic particles and wave equations by Jean-Marc Lévy-Leblond + +  ​ + + The Pauli equation is the correct __non-relativistic__ equation to describe spin $1/2$ particles. ​  ​  ​ 