The modelling of a Josephson junction and Heun polynomials

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dc.creatorTertychniy, S. I.
dc.date2006-01-30
dc.date.accessioned2026-07-07T06:58:25Z
dc.date.available2026-07-07T06:58:25Z
dc.descriptionThe first order nonlinear ODE \dot ϕ(t) + \sinϕ(t)=q(t),q(t)=B+A\cosωt, where A,B,ωare real constants, is considered, the transformation converting it to a second order linear homogeneous ODE with polynoimial coefficients is found. The latter is identified as a particular case of the double confluent Heun equation. The series of algebraic constraints on the constant parameters is found whose fulfillment leads to the existance of solutions representable through polynomials in explicit form. These polynomials are found to constitute the orthogonal normalizable system
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0601064
dc.identifierhttp://arxiv.org/abs/math-ph/0601064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107349
dc.subjectMathematical Physics
dc.subject34B30
dc.titleThe modelling of a Josephson junction and Heun polynomials
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