Mathematical Physics

On the Calculation of the Ripple Voltage in Half-Wave Rectifier Circuits

Authors: Joh. J. Sauren, Aloys J. Sipers
Comments: 13 Pages.

In this article we propose a computational algorithm written in Matlab as well as a mathematical formula to calculate the magnitude of the ripple voltage encountered in halfwave rectifying circuits. After rectification of a symmetric AC harmonic voltage signal, this ripple voltage remains, frequently measurable, superimposed on the resulting DC voltage signal. Both, the algorithm as well as the derived formula enable us to calculate the magnitude of the ripple voltage to a degree of precision any better than $1$ to $10^{6}$, i.e. 1 ppm. We conclude this article by comparing the accuracy of the proposed algorithm to simulated findings. The technique discussed here for calculating the magnitude of the remaining ripple voltage can easily be generalized and extended to the calculation of the magnitude of the ripple voltage encountered in full wave rectifying circuits.
Category: Mathematical Physics

Un Percorso Nel Formalismo Lagrangiano (a Path Through the Lagrangian Formalism)

Authors: Federico Talamucci
Comments: 102 Pages. In Italian

Il manuale intende orire un percorso sul formalismo lagrangiano dei sistemi olonomi cercando il giusto equilibrio tra l'approccio sicoapplicativo ed il contesto astratto dell'ambiente geometrico. Agli ordinari argomenti collegati ai sistemi olonomi si aggiunge uno studio sui potenziali generalizzati, l'applicazione ai sistemi non inerziali ed un breve percorso sui sistemi anolonomi.

The handbook aims to oer a path on the Lagrangian formalism of holonomic systems by seeking the right balance between the physical-application approach and the abstract context of the geometric environment. In addition to the ordinary arguments related to holonomic systems, there is a study of generalized potentials, application to non-inertial systems and a short path on nonholonomic systems.
Category: Mathematical Physics

Un Percorso Nel Formalismo Hamiltoniano (a Path Through the Hamiltonian Formalism)

Authors: Talamucci Federico
Comments: 94 Pages. In Italian

Partendo dai classici argomenti delle equazioni canoniche di Hamilton (ottenute tramite la trasformazione di Legendre) e dei campi vettoriali hamiltoniani, il manuale intende proseguire il percorso sul formalismo hamiltoniano presentando l'approccio variazionale collegato all'integrale di Hilbert e i campi di Weierstrass. In questo modo si ottiene l'invariante integrale di PoincaréCartan che caratterizza i sistemi hamiltoniani e si ha accesso alla teoria delle trasformazioni canoniche e delle funzioni generatrici. Si conclude presentando l'equazione di HamiltonJacobi e accennando alla denizione di sistema integrabile.

Starting from the classic arguments of Hamilton's canonical equations (obtained through Legendre's transformation) and Hamiltonian vector elds, the manual intends to continue the path on Hamiltonian formalism presenting the variational approach linked to the Hilbert's integral and the Weierstrass elds. In this way the invariant integral of Poincar'eCartan that characterizes Hamiltonian systems is obtained and one can access to the theory of canonical transformations and generating functions. We conclude by presenting the Hamilton-Jacobi equation and mentioning the denition of an integrable system.
Category: Mathematical Physics

On the Study of a Ramanujan Equation. New Possible Mathematical Connections with the Cosmological Constant and Some Topics of String Theory, in Particular Some “shift Orientifolds” Equations.

Authors: Michele Nardelli, Antonio Nardelli
Comments: 85 Pages.

In this paper, we analyze a Ramanujan equation. We obtain new possible mathematical connections with the Cosmological Constant and some topics of String Theory, in particular some “shift orientifolds” equations.
Category: Mathematical Physics

Why Rest State And Rectilinear Motion Are Impossible

Authors: Cavași Ioan Abel
Comments: 8 Pages. [Corrections made by viXra Admin to conform with the requirements on the Submission Form]

From high school, students learn to avoid fractions that have a zero denominator, because a number divided by zero gives an unclear result. In this context, in which the reader recalled how problematic divisions with zero can be, we can speak in a meaningful way to clarify a situation related to the curvature of the trajectory of bodies in the Universe. Let us now take our reasoning further. To do this, imagine a body moving for a period of time, with zero velocity, on a trajectory whose curvature is thus well determined. Then, for some reason, probably a collision or due to friction, the body comes to rest. In this case, its speed has become zero, and the curvature of its trajectory can no longer be determined.
Category: Mathematical Physics

On the Detailed Analysis of a Fundamental Ramanujan Identity. New Possible Mathematical Connections with the Cosmological Constant Value in Quantum Space-Time and Some Parameters of Theoretical Physics.

Authors: Michele Nardelli, Antonio Nardelli
Comments: 119 Pages.

In this paper, we analyze a fundamental Ramanujan identity and obtain new possible mathematical connections with the Cosmological Constant value in quantum space-time and some parameters of Theoretical Physics.
Category: Mathematical Physics

Analyzing a Fundamental Equation Concerning the “Ramanujan's Letter to Hardy on 16.1.1913”. New Possible Mathematical Connections with the Cosmological Constant in Quantum Space-Time and with Some Topics of String Theory

Authors: Michele Nardelli, Antonio Nardelli
Comments: 75 Pages.

In this paper, we analyze a fundamental equation concerning the “Ramanujan's Letter to Hardy on 16.1.1913”. We describe the new possible mathematical connections with the Cosmological Constant in Quantum Space-Time and with some topics of String Theory.
Category: Mathematical Physics

Laplace Limit Constant

Authors: Edgar Valdebenito
Comments: 7 Pages.

The Laplace limit is the maximum value of the eccentricity for which a solution to Kepler's equation, in terms of a power series in the eccentricity,converges. It is approximately lambda=0.66274341...
Category: Mathematical Physics

Relativity in Function Spaces and the Need for Fractional Exterior Calculus

Authors: Alireza Jamali
Comments: 8 Pages. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Comments and objections are welcome.

We look at Lorentz transformations from the perspective of functional analysis and show that the theory of functional analysis so far has neglected a critical point by not taking into consideration inputs of functions when measuring distances in function spaces.
Category: Mathematical Physics

From Classical to the Quantum Motion of Strings

Authors: Miroslav Pardy
Comments: 55 Pages. original article

We consider some problems concerning the classical string and the quantum strings which can have the deep physical meaning. We show that there is the asymmetry of the action and reaction in the string motion for the string with the left end fixed and the right end being in periodic motion. We derive also the quantum internal motion of this system. The quantization of the string with the interstitial massive defect is performed. The classical motion of uniformly accelerated string and its relation the Bell paradox is considered. We discuss the relation of this accelerated string to the Bell spaceship paradox involving the Lorentz contraction. It is evident that the acceleration of the string can be caused by gravity and we show that such acceleration causes the different internal motion of the string. Gravity can be described by the string medium in the Newton model of gravity. We show, that in case of the string model of gravity the motion of planets and Moon are oscillating along the classical trajectories In the string model of hadrons the quarks are treated to be tied together by a gluon tube which can be approximated by the tube of vanishing width, or by string. We apply the delta-function form of force to the left side of the string and calculate the propagation of the pulse in the system.
Category: Mathematical Physics

On the Development of Various Equations Concerning the Ramanujan Manuscript Book 1. New Possible Mathematical Connections with Several Topics Regarding the Dark Matter and the Supersymmetry Breaking.

Authors: Michele Nardelli, Antonio Nardelli
Comments: 150 Pages.

In this research thesis, we analyze further equations concerning the Ramanujan Manuscript Book 1. We obtain new possible mathematical connections with several topics regarding the Dark Matter and the Supersymmetry Breaking.
Category: Mathematical Physics