Community RSS Feed
http://community.wolfram.com
RSS Feed for Wolfram Community showing any discussions in tag Physics sorted by activeSolve equation of motion with Dirac-fermions?
http://community.wolfram.com/groups/-/m/t/1400212
Dear Wolfram team:
I am a beginner of Mathematica.
My Problem is that I want solve a System with n equation of Motion in first order. In this equation of motion are creation and annihilation operators of Dirac-fermions. **I don't know and don't find a it, how I can describes the creation and annihilation operators of Dirac-fermions in Mathematica**. The equation of motion have the form:
$$\dot{c}_i^\dagger [t]=f*c_i^\dagger[t]+g[t]*c_{i+1}[t]-g[t]*c_{i+1}^\dagger[t]+h[t]*c_{i-1}[t]-h[t]*c_{i+1}^\dagger[t]\\
\dot{c}_i [t]=f*c_i[t]+g[t]*c_{i+1}^\dagger[t]-g[t]*c_{i+1}[t]-h[t]*c_{i-1}^\dagger[t]+h[t]*c_{i+1}[t],$$
where $c_i^\dagger,c_i $ are creation and annihilation operators and f,g,h are functions.
Then I want use DSolve or NDSolve to solve the equation of motion.
Thanks, for your help.Constantin Harder2018-08-09T10:05:59ZSolve 2 coupled 2nd ODEs and plot them with ParametricPlot?
http://community.wolfram.com/groups/-/m/t/1393597
I am interested to solve two coupled 2nd order differential equations and plot the solution using ParamatricPlot. Can anyone help me to resolve this issue? The solution is a trajectory of a particle under the influence of gravity. So, I am also interested to animate the trajectory of the particle as well. I have attached the Mathematica script with this post.Soumen Basak2018-07-28T10:13:02Z