# Using Mathematica for Quantum Mechanics: A Student’s Manual

@inproceedings{Schmied2019UsingMF, title={Using Mathematica for Quantum Mechanics: A Student’s Manual}, author={R. Schmied}, year={2019} }

This book is an attempt to help students transform all of the concepts of quantum mechanics into concrete computer representations, which can be constructed, evaluated, analyzed, and hopefully understood at a deeper level than what is possible with more abstract representations. It was written for a Master's and PhD lecture given yearly at the University of Basel, Switzerland. The goal is to give a language to the student in which to speak about quantum physics in more detail, and to start the… CONTINUE READING

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102 15. ParticleMotionWithSpin.nb -one particle in 1D with spin

- ContactInteraction.nb -two particles in 1D with contact interaction

48*I, 0.64+0.*I}} Since |ψ is a product state, these reduced density matrices are equal to the pure states of the subsystems: 1

== -dn[θ,ϕ] //FullSimplify ∞ n=1 |n n| = 1, we have P ∞ (x, y ) = x|1|y = x|y = δ(x − y )

E^(-I*ϕ)*(Cos[θ]*Cos[ϕ]+I*Sin

E^(-I*ϕ)*(Cos[θ]*Sin[ϕ]-I*Cos

E^(I*ϕ)*(Cos[θ]*Cos[ϕ]-I*Sin

E^(I*ϕ)*(Cos[θ]*Sin[ϕ]+I*Cos

E^(I*ϕ)*Sin[θ] * KroneckerProduct

ExpressŜ ± in terms of |g , |e , g|, and e|