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}
}
  • R. Schmied
  • Published 2019
  • Computer Science, Physics
    • 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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    Coding closed and open quantum systems in MATLAB: applications in quantum optics and condensed matter
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    References

    SHOWING 1-10 OF 26 REFERENCES
    * grid spacing *)
      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|