Spectrum of the Lamé Operator and Application, II: When an Endpoint is a Cusp

This article is the second part of our study of the spectrum σ ( L n ; τ ) of the Lamé operator L n = d 2 d x 2 - n ( n + 1 ) ℘ ( x + z 0 ; τ ) in L 2 ( R , C ) , where n ∈ N , ℘ ( z ; τ ) is the Weierstrass elliptic function with periods 1 and τ , and z 0 ∈ C is chosen such that L n has no singular...

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Veröffentlicht in:	Communications in mathematical physics 2020-08, Vol.378 (1), p.335-368
Hauptverfasser:	Chen, Zhijie, Lin, Chang-Shou
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Critical point Cusps Domains Elliptic functions Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Theoretical
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