In classical dynamics the second law of motion is used both as a definition of the force and
also as the equation for predicting the position and the momentum of the particle as a …

At what level of physical existence does" quantum behavior" begin? How does it develop
from classical mechanics? This book addresses these questions and thereby sheds light on …

In this paper, we present a mathematical derivation of the Schrödinger equation departing
from only two axioms. We also show that, using this formal derivation process, it is possible …

In this paper we explore the mathematical and epistemological connections between the
stochastic derivation of the Schrödinger equation and the one proposed by ourselves in …

The recent discovery of fractional Taylor's series for nondifferentiable functions, f (x+ h)= Eα
(hαDxα) f (x), where Eα (⋅) denotes the Mittag-Leffler function, and Dxα is the so-called …

Isotopes have been widely applied in a variety of scientific subjects; many aspects of
isotopes, however, remain not well understood. In this study, I investigate the relation …

Stochastic derivations of the Schrödinger equation are always developed on very general
and abstract grounds. Thus, one is never enlightened which specific stochastic process …

We discuss how the language of wave functions (state vectors) and associated non-
commuting Hermitian operators naturally emerges from classical mechanics by applying the …

We show that quantum theory (QT) is a substructure of classical probabilistic physics. The
central quantity of the classical theory is Hamilton's function, which determines canonical …

Since the proposal of the Tsallis generalized entropy, the general explanation of the role
played by the parameter q that defines which specific entropy to pick among a whole family …