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- W88800349 abstract "A geometrical setting for the notion of non-regular additive separation for a PDE, introduced by Kalnins and Miller, is given. This general picture contains as special cases both fixed-energy separation and constrained separation of Helmholtz and Schödinger equations (not necessarily orthogonal). The geometrical approach to non-regular separation allows to explain why it is possible to find some coordinates in Euclidean 3-space where the R-separation of Helmholtz equation occurs, but it depends on a lower number of parameters than in the regular case, and it is apparently not related to the classical Stäckel form of the metric.Key wordsSeparation of VariablesR-separationHelmholtz and Schrödinger equationsAMS(M0S) subject classificationsPrimary 70H0635J05" @default.
- W88800349 created "2016-06-24" @default.
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- W88800349 date "2008-01-01" @default.
- W88800349 modified "2023-09-25" @default.
- W88800349 title "Geometry of Non-Regular Separation" @default.
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- W88800349 doi "https://doi.org/10.1007/978-0-387-73831-4_14" @default.
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