2006/05/16 by Fabio Bagarello, F. Bagarello · 4 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Quantum Mechanics and Applications #q-fin.GN
paper · pdf · doi:10.1088/0305-4470/39/22/001
published as J. Phys. A, {\bf 39}, 6823-6840 (2006)
openalex publication_date 2006/05/16 · arxiv created 2009/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We propose and discuss some toy models of stock markets using the same operatorial approach adopted in quantum mechanics. Our models are suggested by the discrete nature of the number of shares and of the cash which are exchanged in a real market, and by the existence of conserved quantities, like the total number of shares or some linear combination of cash and shares. The same framework as the one used in the description of a gas of interacting bosons is adopted.