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Boris Shapiro: On spectral asymptotics of quasi-exactly solvable quartic and Yablonskii-Vorob'ev polynomials

Tid: On 2015-01-28 kl 10.30 - 11.30

Plats: Room 306, building 6, Kräftriket, Department of Mathematics, Stockholm University

Medverkande: Boris Shapiro, Stockholm university

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We study theoretically and numerically the algebraic part of the spectrum of the quasi-exactly solvable quartic oscillator introduced by C.M.Bender and S.Boettcher in 1990. The set of branching points of this model shows surprising similarities with the zero locus of the corresponding Yablonskii-Vorob’ev polynomial.