II Jeans equation in cylindrical coordinates

We derive the II Jeans equation (the Jeans equations are a set of partial differential equations that describe the motion of a collection of stars in a gravitational field) from the collisionless Boltzman equation (CBE) in cylindrical coordinates.

pdf  Brussi 2024_Jeans equation in cylindrical coordinates

 

Jeans equation in cylindrical coordinates

please, rate this post

Einstein 1916: Emission and Absorption of Radiation in the Quantum Theory

This work is a further study of Albert Einstein’s article, “Emission and Absorption of Radiation in the Quantum Theory” (Strahlungs Emission und Absorption nach der Quantentheorie). A brilliant work published in 1916.
This work of mine is written in Italian.

pdf_ita  Brussi 2023_Einstein 1916 Emissione e assorbimento di radiazione

ABSTRACT
Albert Einstein’s study, “Emission and Absorption of Radiation According to Quantum Theory,” [Einstein, 1916], proposed an original interpretation for the probabilities of exchanges between atomic energy levels, predicting spontaneous emissions, as well as absorption and radiation-stimulated emissions, from molecules in thermodynamic equilibrium. This study made the coefficient associated with spontaneous emissions Aji, the absorption coefficient Bij, and the coefficient associated with stimulated emissions Bji famous; it also laid the theoretical foundation for the development of lasers.
In-depth analysis: a paraphrase of the conjectures in Einstein’s original publication, an in-depth analysis of the parameter associated with the coefficients called the oscillator strength (derived with different procedures for both spontaneous emission and absorption of radiation), and some examples of the use of Einstein’s coefficient Aji in astronomical spectroscopy.

 

Brussi 2023_Einstein 1916 Emissione e assorbimento di radiazione

please, rate this post

Gödel’s conjecture on the unreality of time

A brief look at the conjecture on the unreality of time of Kurt Gödel (1906-1978).
It’s a work developed to complement another on the epistemology of time, and it’s written in italian.

pdf_ita  Brussi 2023_Congettura di Gödel sull’irrealtà del tempo

 

Brussi 2023_Congettura di Gödel sull’irrealtà del tempo

please, rate this post

An in-depth look at the postulate of the unidirectional speed of light

An in-depth analysis of the relativistic and mathematical consequences of a modified special theory of relativity, without taking Einstein’s postulate about the constancy of the speed of light in a round trip for granted.
It’s a work developed to complement another on the epistemology of time and it’s written in italian.

pdf_ita  Brussi 2023_Sul postulato della velocità unidirezionale della luce

 

Brussi 2022_Sul postulato della velocità unidirezionale della luce

please, rate this post