We apply methods of quantum mechanics for mathematical modeling of price dynamics at the financial market. We propose to describe behavioral financial factors by using the pilot wave (Bohmian) model of quantum mechanics. The theory of financial behavioral waves takes into account the market psychology. The real trajectories of prices are determined (through the financial analogue of the second ...

We show that the particle motion in Bohmian mechanics as the solution of an ordinary differential equation exists globally, i.e., the singularities of the velocity field and infinity will not be reached in finite time for typical initial configurations and a large class of potentials, including the physically most relevant potential of N -particle Coulomb interaction with arbitrary charges and ...

The question of the representation of quantum stationary partially polarized waves as random superpositions of different polarization ellipses is addressed. To this end, the Bohmian formulation of quantum mechanics is considered and extended to quantum optical polarization. As is shown, this approach properly combines definite time-evolving trajectories with rigorous stationary quantum distribu...

Bohmian mechanics is the most naively obvious embedding imaginable of Schrödinger’s equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at first appear to have little to do with the spectrum of predictions of quantum mechanics. It turns out, however, that as a consequence of the defining dynamical...

We report here on our work on Bohmian mechanics. A much more detailed presentation will be published elsewhere [7]. According to the quantum formalism, measurements performed on a quantum system with definite wave function typically yield random results. However, the quantum dynamics governing the evolution of the wave function over time, at least when no measurement is being performed, and giv...

We formulate a scheme for a Lorentz invariant Bohmian quantum theory for N non-interacting Dirac particles involving as an additional beable a foliation of space-time. This theory, which is a generalization of Bohm’s theory for N Dirac particles, allows for an equivariant measure on the leafs of the foliation—and hence for a simple statistical analysis analogous to the equilibrium analysis of n...

The quantum formalism is a "measurement" formalism--a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from Bohmian mechanics, which is what emerges from Schr6dinger's equation for a system of particles when we merely insist that "particles" means particles. While distinctly non-Newtonian, Bohmian mechan...

It is shown that the de Broglie-Bohm theory has a potential problem concerning the charge distribution of a quantum system such as an electron. According to the guidance equation of the theory, the electron’s charge is localized in a position where its Bohmian particle is. But according to the Schrödinger equation of the theory, the electron’s charge is not localized in one position but distrib...