Mathematical Physics

1810 Submissions

[5] viXra:1810.0263 [pdf] submitted on 2018-10-16 07:43:15

Semistable Holomorphic Bundles Over Compact bi-Hermitian Manifolds

Authors: Pan Zhang
Comments: 11 Pages.

In this paper, by using Uhlenbeck-Yau's continuity method, we prove that the existence of approximation $\alpha$-Hermitian-Einstein strusture and the $\alpha$-semi-stability on $I_{\pm}$-holomorphic bundles over compact bi-Hermitian manifolds are equivalent.
Category: Mathematical Physics

[4] viXra:1810.0181 [pdf] submitted on 2018-10-11 16:51:13

The Task of the Panrelativistic Discrete Wave Mechanics

Authors: I. M. Saharov, G. I. Saharov
Comments: 17 Pages.

The paper presents a mathematical study of sub-nuclear particles (nucleons) by a singular mathematical structure, which is a unique compatibility of singular integers with their binding functions, demonstrating the connection of the transcendent and integer, continuous and discrete. The four-dimensional space-time was tested to find the original effective unit, the coefficients of the dominant angles and the main singular number. Representation of a particle as a spatial wave objects (rotating waves) made it possible to find geometric and numeric expressions to their relative mass in units of electron mass with a precision within the limits of the uncertainty principle. Submitted to the consideration of the law effective wave of the relationships governing the stability of subnuclear particles. An approximate expression of the ratio of the magnetic moments of nucleons in vector form based on the ratio of the functions of dominant angles is shown.
Category: Mathematical Physics

[3] viXra:1810.0157 [pdf] submitted on 2018-10-10 07:45:13

Dirichlet Problem for Hermitian-Einstein Equations Over bi-Hermitian Manifolds

Authors: Pan Zhang
Comments: 10 Pages.

In this paper, we solve the Dirichlet problem for $\alpha$-Hermitian-Einstein equations on $I_{\pm}$-holomorphic bundles over bi-Hermitian manifolds. As a corollary, we obtain an analogue result about generalized holomorphic bundles on generalized K\"{a}hler manifolds.
Category: Mathematical Physics

[2] viXra:1810.0146 [pdf] submitted on 2018-10-09 10:40:20

A New Solution to the Linear Harmonic Oscillator Equation

Authors: Yélomè J. F. Kpomahou, Damien K. K. Adjaï, J. Akande, Marc D. Monsia
Comments: 7 pages

It is well known that amplitude-dependent frequency features only nonlinear dynamical systems. This paper shows that, however, within the framework of the theory of nonlinear differential equations introduced recently by the authors of this work, such a property may also characterize the linear harmonic oscillator equation. In doing so it has been found as another major result that the linear harmonic oscillator is nothing but the nonlocal transformation of equation of the free particle motion under constant forcing function.
Category: Mathematical Physics

[1] viXra:1810.0116 [pdf] submitted on 2018-10-07 08:50:44

Identity Featuring Gamma Function: Ramanujan's Integration

Authors: Amit Kumar Jha
Comments: 3 Pages.

In this short 3 page Pdf I am giving you method to prove Ramanujan's identity
Category: Mathematical Physics