• Adeles in Mathematical Physics 

      Bakken, Erik Makino (Master thesis, 2012)
      Vi vil utforske bruken av adeler i matematisk fysikk.
    • Brownian motion and finite approximations of quantum systems over local fields 

      Bakken, Erik Makino; Digernes, Trond; Weisbart, David (Journal article; Peer reviewed, 2017)
      We give a stochastic proof of the finite approximability of a class of Schrödinger operators over a local field, thereby completing a program of establishing in a non-Archimedean setting corresponding results and methods ...
    • Finite approximations of physical models over local fields 

      Bakken, Erik Makino; Digernes, Trond (Journal article; Peer reviewed, 2015)
      We show that the Schrödinger operator associated with a physical system over a local field can be approximated in a very strong sense by finite Schrödinger operators. Some striking numerical results are included at the end ...
    • Finite Approximations of Quantum Systems in a Non-Archimedean and Archimedean Setting 

      Bakken, Erik Makino (Doctoral thesis at NTNU;2016:212, Doctoral thesis, 2016)
      Approximation of quantum systems by nite dimensional quantum systems goes back to the foundation of quantum mechanics. Finite dimensional quantum systems were considered by Hermann Weyl, and were considered in much ...