SU\G(𝔸)/K·U

On the essential spectrum of Schroedinger operators with singular potentials

James S. Howland

Type: Article

Publication Date: 1968-06-01

Citations: 12

DOI: https://doi.org/10.2140/pjm.1968.25.533

Abstract

In this paper, we show that under certain conditions the self-adjoint Schroediner operator -n^l, has essential spectrum [0, oo).The theorems improve previous results by permitting V(x) to be more singular locally.The proof employs a factorization V(x) = A{x)B(x) of the potential.

Locations

  • Pacific Journal of Mathematics - View - PDF
  • Project Euclid (Cornell University) - View - PDF

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+ Über die Lokalisierung des wesentlichen Spektrums des Schrödingeroperators 1970 E. Müller‐Pfeiffer
+ PDF Chat Relations among continuous and various non-continuous functions 1968 R. V. Fuller
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+ PDF Chat A general correspondence between dual minimax problems and convex programs 1968 R. T. Rockafellar
+ PDF Chat Curvature in Hilbert geometries. II 1968 Paul J. Kelly
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+ PDF Chat Collectively compact sets of linear operators 1968 P. M. Anselone
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+ PDF Chat Mean values of power series 1968 T. M. Flett
+ PDF Chat Linear functionals on Orlicz spaces: General theory 1968 Malempati M. Rao
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+ On the finiteness of perturbed eigenvalues 1966 Reiji Konno
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+ An abstract stationary approach to perturbation of continuous spectra and scattering theory 1967 S. T. Kuroda
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+ Partial Differential Equations 1982 Fritz John
+ Eigenfunction expansions associated with second-order differential equations 1946 E. C. Titchmarsh
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