6533b830fe1ef96bd12967e9

RESEARCH PRODUCT

An operatorial approach to stock markets

Fabio Bagarello

subject

media_common.quotation_subjectGeneral Physics and AstronomyStatistical and Nonlinear Physicsoperatorial approachConserved quantitystock marketFOS: Economics and businessCashQuantitative Finance - General FinanceGeneral Finance (q-fin.GN)Linear combinationSettore MAT/07 - Fisica MatematicaMathematical economicsMathematical PhysicsStock (geology)media_commonBosonMathematics

description

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.

https://doi.org/10.1088/0305-4470/39/22/001