# Photonic equation of motion with application to the Lamb shift

## Abstract

A photonic equation of motion is proposed which is the scalar product of four-vectors and therefore a Lorentz invariant. A photonic equation of motion, which has not been heretofore established in quantum electrodynamics (QED), would capture the quantum nature of light but yet not have the standard field-operator form, thereby making practical calculations easier to perform. The equation of motion proposed here is applied to the Lamb shift. No divergences exist, and the result agrees with the observed Lamb shift for the 1S{sub 1/2} state of hydrogen within experimental error.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 940513

- Report Number(s):
- UCRL-JRNL-227003

Journal ID: ISSN 0030-4018; OPCOB8; TRN: US200824%%76

- DOE Contract Number:
- W-7405-ENG-48

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Optics Communications, vol. 280, no. 1, December 1, 2007, pp. 126-132; Journal Volume: 280; Journal Issue: 1

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HYDROGEN; LAMB SHIFT; QUANTUM ELECTRODYNAMICS; SCALARS

### Citation Formats

```
Ritchie, A B.
```*Photonic equation of motion with application to the Lamb shift*. United States: N. p., 2006.
Web.

```
Ritchie, A B.
```*Photonic equation of motion with application to the Lamb shift*. United States.

```
Ritchie, A B. Thu .
"Photonic equation of motion with application to the Lamb shift". United States.
doi:. https://www.osti.gov/servlets/purl/940513.
```

```
@article{osti_940513,
```

title = {Photonic equation of motion with application to the Lamb shift},

author = {Ritchie, A B},

abstractNote = {A photonic equation of motion is proposed which is the scalar product of four-vectors and therefore a Lorentz invariant. A photonic equation of motion, which has not been heretofore established in quantum electrodynamics (QED), would capture the quantum nature of light but yet not have the standard field-operator form, thereby making practical calculations easier to perform. The equation of motion proposed here is applied to the Lamb shift. No divergences exist, and the result agrees with the observed Lamb shift for the 1S{sub 1/2} state of hydrogen within experimental error.},

doi = {},

journal = {Optics Communications, vol. 280, no. 1, December 1, 2007, pp. 126-132},

number = 1,

volume = 280,

place = {United States},

year = {Thu Dec 21 00:00:00 EST 2006},

month = {Thu Dec 21 00:00:00 EST 2006}

}

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