29 citations · 66 across the 6 of their papers we have counts for
6 papers
Higher order splitting methods with modified integrators for a class of Hamiltonian systems
Asif Mushtaq, Anne Kværnø, Kåre Olaussen
We discuss systematic extensions of the standard (St{ö}rmer-Verlet) splitting method for differential equations of Hamiltonian mechanics, with relative accuracy of order for…
Averaged Green function and density of states for electrons in a high magnetic field and random potential
A. Kristoffersen, K. Olaussen
We consider a model for 2D electrons in a very strong magnetic field (i.e. projected onto a single Landau level) and a random potential . The computation of the averaged Green f…
The third virial coefficient of anyons revisited
Stefan Mashkevich, Jan Myrheim, Kåre Olaussen
We use the method of solving the three-anyon problem developed in our earlier publication to evaluate numerically the third virial coefficient of free anyons. In order to improve p…
Using Conservation Laws to Solve Toda Field Theories
Erling G. B. Hohler, Kåre Olaussen
We investigate the question of how the knowledge of sufficiently many local conservation laws for a model can be utilized to solve the model. We show that for models where the cons…
Solution of the Three--Anyon Problem
Stefan Mashkevich, Jan Myrheim, Kåre Olaussen +1
We solve, by separation of variables, the problem of three anyons with a harmonic oscillator potential. The anyonic symmetry conditions from cyclic permutations are separable in ou…
The Third Virial Coefficient of Free Anyons
Jan Myrheim, Kåre Olaussen
We use a path integral representation for the partition function of non-interacting anyons confined in a harmonic oscillator potential in order to prove that the third virial coeff…