A non-relativistic wave equation of second order in time for scalar fields

H.A. Tolhoek

Physica A: Statistical Mechanics and its Applications, 1975, vol. 81, issue 4, 535-564

Abstract: In this paper a generalization of the traditional non-relativistic Schrödinger equation is considered. It is a wave equation of second order in time and fourth order in the space coordinates for scalar fields. The equation has certain features, which make it a closer analogue of the Klein-Gordon equation than the traditional Schrödinger equation. However, the equation maintains the non-relativistic relation between energy and momentum.

Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:81:y:1975:i:4:p:535-564

DOI: 10.1016/0378-4371(75)90074-6

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