116 citations · 482 across the 33 of their papers we have counts for
3 papers · 1 filter
Schrödinger group and quantum finance
Juan M. Romero, Ulises Lavana, Elio Martínez
Using the one dimensional free particle symmetries, the quantum finance symmetries are obtained. Namely, it is shown that Black-Scholes equation is invariant under Schrödinger grou…
Principle action for particles faster than light
Juan M. Romero, Jose A. Santiago, O. Gonzalez-Gaxiola
A general action for particles faster than light is presented. It is demonstrated that this action is invariant under reparametrizations. For several cases, it is shown that in the…
A continuum of Hamiltonian structures for the two-dimensional isotropic harmonic oscillator
Juan M. Romero, Adolfo Zamora
We show the existence of a continuum of Hamiltonian structures for the two-dimensional isotropic harmonic oscillator. In particular, a continuum of Hamiltonian structures having no…