Appearances of pseudo-bosons from Black-Scholes equation

Fabio Bagarello

Published 2016-03-09Version 1

It is a well known fact that the Black-Scholes equation admits an alternative representation as a Schr\"odinger equation expressed in terms of a non self-adjoint hamiltonian. We show how {\em pseudo-bosons}, linear or not, naturally arise in this context, and how they can be used in the computation of the pricing kernel.