WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Schwinger's Oscillator Model for Angular Momentum

​
n
a
0
1
2
3
n
b
0
1
2
3
In an internal Atomic Energy Commission document published in 1952 [1], Julian Schwinger developed the quantum theory of angular momentum from the commutation relations for a pair of independent harmonic oscillators. This work has since been subsequently quoted many times [2, 3]. A simplified version of the derivation is given in the Details. This Demonstration shows the angular momentum states
j
,
m
derived from the quantum numbers
n
a
,
n
b
for a pair of harmonic oscillators, with
n
a
,
n
b
=0,1,2,…
.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.