# ON ANGULAR MOMENTUM

## Abstract

The commutation relations of an arbitrary angular momentum vector can be reduced to those of the harmonic oscillator. This provides a powerful method for constructing and developing the properties of angular momentum eigenvectors. In this paper many known theorems are derived in this way, and some new results obtained. Among the topics treated are the properties of the rotation matrices; the addition of two, three, and four angular momenta; and the theory of tensor operators.

- Authors:

- Publication Date:

- Research Org.:
- Harvard Univ.; Nuclear Development Associates, Inc. (US)

- Sponsoring Org.:
- US Atomic Energy Commission (AEC) (US)

- OSTI Identifier:
- 4389568

- Report Number(s):
- NYO-3071

TRN: US200506%%295

- DOE Contract Number:
- AT(30-1)-862(b)

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 26 Jan 1952

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HARMONIC OSCILLATORS; ANGULAR MOMENTUM; COMMUTATION RELATIONS; EIGENVECTORS; OSCILLATIONS; ROTATION; TENSORS; MATHEMATICAL MODELS

### Citation Formats

```
Schwinger, J.
```*ON ANGULAR MOMENTUM*. United States: N. p., 1952.
Web. doi:10.2172/4389568.

```
Schwinger, J.
```*ON ANGULAR MOMENTUM*. United States. doi:10.2172/4389568.

```
Schwinger, J. Sat .
"ON ANGULAR MOMENTUM". United States.
doi:10.2172/4389568. https://www.osti.gov/servlets/purl/4389568.
```

```
@article{osti_4389568,
```

title = {ON ANGULAR MOMENTUM},

author = {Schwinger, J.},

abstractNote = {The commutation relations of an arbitrary angular momentum vector can be reduced to those of the harmonic oscillator. This provides a powerful method for constructing and developing the properties of angular momentum eigenvectors. In this paper many known theorems are derived in this way, and some new results obtained. Among the topics treated are the properties of the rotation matrices; the addition of two, three, and four angular momenta; and the theory of tensor operators.},

doi = {10.2172/4389568},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Sat Jan 26 00:00:00 EST 1952},

month = {Sat Jan 26 00:00:00 EST 1952}

}

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