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