Schrödinger-type operators with continuous spectra, by MSP Eastham ...
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Schrödinger-type operators with continuous spectra, by MSP Eastham ...
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Schrödinger-type operators with continuous spectra, by M. S. P. Eastham and H. Kalf, Research Notes in Mathematics, Vol. 65, Pitman Advanced Publishing Program, Boston, 1982, 281 pp., $24.95. ISBN 0-2730-8526-3 To a mathematical physicist the title Schrödinger-type operators with continuous spectra arouses expectations of a wide variety of topics connected with quantum dynamics, so it is something of a surprise to open this book and find no reference to wave operators or the other paraphernalia of scattering theory. Eastham and Kalf soon make it clear, however, that an accurate subtitle might have been A monograph on the possibility of eigenvalues embedded in the continuum. The prospective reader should be aware of this narrower scope. The spectral theorem assigns a unique spectral family, or projection-valued measure on the real line, to any selfadjoint operator on Hubert space. Von Neumann [12] placed the spectral theorem at the heart of his axiomatic formulation of quantum mechanics, and as a result spectral analysis of Schrödinger operators (1)
