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Quadratic form techniques and the Balslev-Combes theorem (1972)

Simon, Barry

Springer

Communications in mathematical physics 27 (1972), S. 1-9

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We extend the theorem of Balslev and Combes on the absence of singular continuous spectrum to a class of interactions includingr −α(3/2≦α〈2) local potentials. In addition, we note that the theory of sectorial operators allows a simplification of their proof and allows one to push the cuts through angles larger than the π/2 restriction employed by Balslev-Combes.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01649654

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