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
BAGARELLO F (2006). An operatorial approach to stock markets. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 39, 6823-6840 [10.1088/0305-4470/39/22/001].
An operatorial approach to stock markets
BAGARELLO, Fabio
2006-01-01
Abstract
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
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