I read an article(1) written by the mathematics/computer writer and online editor at Science News, Ivars Peterson. In this article he explains how physicists
use the eigenvalue's of large random matrices to obtain estimates of the
average spacing between consecutive energy levels of heavy atomic nuclei and
other complex quantum systems. A connection concerning number theory and quantum
mechanics comes from the discovery that these spacing's appear statistically to behave like the spacing's between consecutive zeros of the zeta
function.
In a similar vein this blog sets out to show a link between quantized angular momentum, more specifically the vector model of the spin of quadrupolar nuclei (nuclei with quantum spin number greater than ½), and the divisor summatory function.
(1) The Return of Zeta
Links:
A Prime Case of Chaos
Quadrupolar Nuclei
Pascals Triangle
5:8:9:8:5
Conformal Field Theory
Monstrous Moonshine
Vertex Operator Algerbra
Penrose-1
Penrose-2
Divisor summatory function
Conic Manifold
Gravity
Minkowski
Nuber Theory and Quantum Mechanics
Work in progress:
Document
LowRes images
HiRes images
Divisor summatory function plot
Divisor summatory plot
WebGL animation
Javascript divisor summatory function
Klein four-group
In a similar vein this blog sets out to show a link between quantized angular momentum, more specifically the vector model of the spin of quadrupolar nuclei (nuclei with quantum spin number greater than ½), and the divisor summatory function.
(1) The Return of Zeta
Links:
A Prime Case of Chaos
Quadrupolar Nuclei
Pascals Triangle
5:8:9:8:5
Conformal Field Theory
Monstrous Moonshine
Vertex Operator Algerbra
Penrose-1
Penrose-2
Divisor summatory function
Conic Manifold
Gravity
Minkowski
Nuber Theory and Quantum Mechanics
Work in progress:
Document
LowRes images
HiRes images
Divisor summatory function plot
Divisor summatory plot
WebGL animation
Javascript divisor summatory function
Klein four-group
