1994/01/17 by Hans-Jürgen Pohle, Pohle, Hans-Jürgen
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9401016
15, MPI-Jena AGG x
openalex publication_date 1994/01/17 · arxiv created 1994/01/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A central object in the interpretation of quantum mechanics of closed systems with decoherent histories is the decoherence matrix. But only for a very small number of models one is able to give explicit expressions for its elements. So numerical methods are required. Unfortunately the dimensions of this matrices are usually very high, which makes also a direct numerical calculation impossible. A solution of this problem would be given by a method which only calculates the dominant matrix elements. This includes to make a decision about the dominance of an element before it will be calculated. In this paper I will develop an algorithm that combines the numerical calculation of the elements of the decoherence matrix with a permanent estimation, so that finally the dominant elements will be calculated only. As an example I apply this procedure to the Caldeira- Leggett-modell.