Authors :
Dr. Ismail Abbas
Volume/Issue :
Volume 9 - 2024, Issue 1 - January
Google Scholar :
http://tinyurl.com/mrkvzhyh
Scribd :
http://tinyurl.com/2s43nyck
DOI :
https://doi.org/10.5281/zenodo.10539186
Abstract :
In 1925, W. Heisenberg, Max Born and
Pascual Jordan introduced the first so-called matrix
mechanics (HMJ theory) to study the fine structure of
the Bohr hydrogen atom.
However, in the early 1930s, the equivalence
between the HMJ theory and the Schrödinger equation
was denied and the HMJ theory fell.
In 2020, a new theory of matrix mechanics
emerged, called b-matrix chains, and has been
successfully applied to different 3D situations in classical
physics as well as quantum mechanics.
In this paper we study the application of new
matrix theory to the initial value problem in the 3D heat
diffusion equation as well as to quantum particles in a
3D cube where the numerical results are strikingly
accurate.
The similarity of the matrix techniques applied in
both cases suggests that nature has only one face to show
in classical and quantum physics.
In 1925, W. Heisenberg, Max Born and
Pascual Jordan introduced the first so-called matrix
mechanics (HMJ theory) to study the fine structure of
the Bohr hydrogen atom.
However, in the early 1930s, the equivalence
between the HMJ theory and the Schrödinger equation
was denied and the HMJ theory fell.
In 2020, a new theory of matrix mechanics
emerged, called b-matrix chains, and has been
successfully applied to different 3D situations in classical
physics as well as quantum mechanics.
In this paper we study the application of new
matrix theory to the initial value problem in the 3D heat
diffusion equation as well as to quantum particles in a
3D cube where the numerical results are strikingly
accurate.
The similarity of the matrix techniques applied in
both cases suggests that nature has only one face to show
in classical and quantum physics.
