In this paper we continue the study started in [1] on the operatorial formulation of classical mechanics given by Koopman and von Neumann (KvN) in the Thirties. In particular we show that the introduction of the KvN Hilbert space of complex and square integrable " wave functions " requires an enlargement of the set of the observables of ordinary classical mechanics. The possible role and the me...

The quantum mechanics is considered to be a partial case of the stochastic system dynamics. It is shown that the wave function describes the state of statistically averaged system 〈Sst〉, but not that of the individual stochastic system Sst. It is a common practice to think that such a construction of quantum mechanics contains hidden variables, and it is incompatible with the von Neumann’s theo...

Stephan Priebe and M. Pino Martín Journal of Fluid Mechanics / Volume 699 / May 2012, pp 1 ­ 49 DOI: 10.1017/jfm.2011.560, Published online: Link to this article: http://journals.cambridge.org/abstract_S002211201100560X How to cite this article: Stephan Priebe and M. Pino Martín (2012). Low­frequency unsteadiness in shock wave–turbulent boundary layer interaction. Journal of Fluid Mechanics, 69...

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 ...

A one-to-one correspondence is established between linearized space-time metrics of general relativity and the wave equations of quantum mechanics. Also, the key role of boundary conditions in distinguishing quantummechanics from classical mechanics, will emerge naturally from the procedure. Finally, we will find that the methodology will enable us to introduce not only test charges but also te...

In this paper we study the classical Hilbert space introduced by Koopman and von Neumann in their operatorial formulation of classical mechanics. In particular we show that the states of this Hilbert space do not spread, differently than what happens in quantum mechanics. The role of the phases associated to these classical ”wave functions” is analyzed in details. In this framework we also perf...

Abstract Lam and Esfeld have argued that, within Bohmian mechanics, the wave function can be interpreted as a physical structure instantiated by fundamental particles posited theory. Further, to characterize nature of this structure, they appeal framework Ontic Structural Realism (OSR), thereby proposing structuralist interpretation mechanics. However, I shall point out that OSR denotes family ...

The Schr?dinger differential equation is what we usually solve for the microscopic particles in non-relativistic quantum mechanics. Niels Bohr suggested power two of (usually) complex answer shows probability particle’s existence at a point space. Also, time dependence Schrodinger wave one whereas light electromagnetism two. In this paper, show solution both problems. We derive Wave Equation en...