Exact solutions of Schrodinger's equation for translation-invariant harmonic matter
- 1 July 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (7) , 1235-1240
- https://doi.org/10.1088/0305-4470/11/7/011
Abstract
Continuation of previous work (ibid., vol.11, no.7, p.1227 (1978)). Earlier exact solutions of Schrodinger's equation for translation-invariant systems of particles interacting by Hooke's law pair potentials are augmented to include systems consisting of an arbitrary number S of groups of identical particles. Exact solutions can always be found whenever the number of distinct masses plus the number of distinct coupling constants does not exceed (2S+1). The case S=2 is solved in detail and is applied to show that harmonic matter is never stable.Keywords
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