Nonpermuting limits in the theory of radiating electrons: Zero damping versus infinite volume

H. Dekker

Physica A: Statistical Mechanics and its Applications, 1986, vol. 139, issue 2, 430-436

Abstract: The quantum mechanics of a harmonically bound electron with standard dipole model coupling to the electromagnetic field is studied exactly in the limit of zero damping (charge e→0) and infinite field extension (R→∞). In the limit sequence (i) R→∞, (ii) e→0, one obtains Gaussian wave functions for all stationary states (n = 0, 1, 2, …) of the electron. These Gaussians do have the usual variances 〈x2μ〉n (μ = 1, 2, 3) but otherwise obviously differ from the standard free harmonic oscillator result. The latter arises only in the limit sequence (i) e→0, (ii) R→∞.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:139:y:1986:i:2:p:430-436

DOI: 10.1016/0378-4371(86)90130-5

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