Financial modeling and quantum mathematics
Financial instruments have a random evolution and can be described by a stochastic process. It is shown that another approach for modeling financial instruments considered as a (classical) random system is by employing the mathematics that results from the formalism of quantum mechanics. Financial instruments are described by the elements of a linear vector state space and its evolution is determined by a Hamiltonian operator. It is further shown that interest rates can be described by a random function which is mathematically equivalent to a two dimensional Euclidean quantum field.
Baaquie, Belal E. (2013). Financial modeling and quantum mathematics. Computer & Mathematics with Applications, 65 (20), pp. 1665-1673.