An exactly solvable periodic Schrodinger operator

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, , Citation F Gesztesy et al 1985 J. Phys. A: Math. Gen. 18 L503 DOI 10.1088/0305-4470/18/9/003

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1 Inst. fur Theor. Phys., Graz Univ., Austria

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0305-4470/18/9/L503

Abstract

The authors explicitly determine the band spectrum of a periodically strongly singular Schrodinger operator in L2(R) associated with the differential expression -d2/dx2+(s2-1/4)/cos2 x+(s'2-1/4)/sin2 x, x epsilon R,x epsilon pi Z/2, 0<s,s'<1. The corresponding density of states is calculated analytically.

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