Symmetry operators and separation of variables for spin-wave equations in oblate spheroidal coordinates | Zendy

E. G. Kalnins | Zendy; Gareth Williams | Zendy

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Symmetry operators and separation of variables for spin-wave equations in oblate spheroidal coordinates

Author(s) -

E. G. Kalnins,

Gareth Williams

Publication year - 1990

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.528670

Subject(s) - separation of variables , prolate spheroidal coordinates , orthogonal coordinates , symmetry (geometry) , tetrad , tensor (intrinsic definition) , spin (aerodynamics) , physics , mathematics , mathematical physics , differential operator , massless particle , separable space , field (mathematics) , bipolar coordinates , space (punctuation) , operator (biology) , mathematical analysis , partial differential equation , pure mathematics , geometry , biochemistry , chemistry , repressor , gene , transcription factor , thermodynamics , linguistics , philosophy

A family of second-order differential operators that characterize the solution of the massless spin s field equations, obtained via separation of variables in oblate spheroidal coordinates and using a null tetrad is found. The first two members of the family also characterize the separable solutions in the Kerr space-time. It is also shown that these operators are symmetry operators of the field equations in empty space-times whenever the space-time admits a second-order Killing–Yano tensor

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