✦ LIBER ✦

Quantization of the relativistic harmonic oscillator by perturbative methods with application to van der Waals forces

✍ Scribed by R.H. Penfield; H. Zatzkis

Publisher: Elsevier Science
Year: 1957
Tongue: English
Weight: 416 KB
Volume: 263
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(57)90341-1

No coin nor oath required. For personal study only.

✦ Synopsis

The relativistic effects on the quantization of the harmonic oscillator are determined from a perturbation calculation using matrices obtained in the nonrelativistic case.

One finds that the energy levels are no longer evenly spaced although the usual transition rules still hold.

When a system of two oscillators is considered and the relativistic modification together with radiation effects to second order on the energy of the system is determined, it is found that the higher order correction terms to van der Waals forces are both repulsive and show a dependence on separation distance of l/R6 and l/R'.

📜 SIMILAR VOLUMES

Determination of dielectric dispersion b

Determination of dielectric dispersion by two methods and application to calculations of van der Waals forces

✍ Shlomo Nir; Steven Adams; Robert Rein 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 559 KB

On the physical interpretation of the re

On the physical interpretation of the relativistic corrections to the van der waals force found by penfield and zatsbis

✍ E.A. Power; S. Zienau 📂 Article 📅 1957 🏛 Elsevier Science 🌐 English ⚖ 355 KB

A detailed discussion of the relativistic corrections to the Van der Waals force is given for a simple model in which the neutral atoms are replaced by two linear oscillators orientated along the line of centers. The repulsive corrections proportional to l/R6 and l/R7 found by Penfield and Zatskis