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Book Review
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Book Information
Author(s):
M. S. P. Eastham and H. Kalf
Title:
Schrödinger-type operators with continuous spectra
Additional book information:
Research Notes in Mathematics, Vol. 65, Pitman Advanced Publishing Program, Boston, 1982, 281 pp., $24.95. ISBN 0-2730-8526-3
References:
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- 3.
- J. E. Avron and I. Herbst, Spectral and scattering theory of Schrödinger operators related to the Stark effect, Comm. Math. Phys. 52(1977), 239-254. MR 468862
- 4.
- J. Avron and B. Simon, Almost periodic Schrödinger operators. I: Limit periodic potentials, Comm. Math. Phys. 82 (1981), 101-120. MR 638515
- 5.
- D. M. Eidus, The principle of limit amplitude, Russian Math. Surveys 24 (1969), no. 3, 97-167. (Translation of Uspekhi Mat. Nauk 24 (1969), no. 3, 91-156.) MR 601072
- 6.
- R. Froese and I. Herbst, Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators, Comm. Math. Phys. 87 (1982), 429-447. MR 682117
- 7.
- R. Froese, I. Herbst, M. Hoffmann-Ostenhof and T. Hoffmann-Ostenhof, On the absence of positive eigenvalues for one-body Schrödinger operators, J. Analyse Math. 41 (1982), 272-284. MR 687957
- 8.
- I. Ya. Gol'dshtein [sic], S. A. Molchanov and L. A. Pastur, A pure point spectrum of the stochastic one-dimensional Schrödinger operator, Functional Anal. Appl. 11 (1977), 1-8 (Translation of Funktsional. Anal. i Prilozhen. 11 (1977), 1-10.)
- 9.
- I. Herbst, Dilation analyticity in constant electric field. I: The two body problem, Comm. Math. Phys. 64 (1979), 279-298. MR 520094
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- 11.
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- 13.
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- 14.
- J. R. Oppenheimer, Three notes on the quantum theory of aperiodic effects, Phys. Rev. 31 (1928), 66-81. Compare p. 74 with the original in Weyl, op. cit., p. 268.
- 15.
- D. B. Pearson, Singular continuous measures in scattering theory, Comm. Math. Phys. 60 (1978), 13-36. MR 484145
- 16.
- M. Reed and B. Simon, Methods of modern mathematical physics, Vol. IV: Analysis of operators, Academic Press, New York, 1978. MR 751959
- 17.
- E. Schrödinger, Quantisierung als Eigenwertproblem. Dritte Mitteilung: Störungstheorie, mit Anwendung auf den Starkeffekt der Balmerlinien, Ann. Phys. (Leipzig) 80 (1926), 437-490.
- 18.
- B. Simon, On the positive eigenvalues of one-body Schrödinger operators, Comm. Pure Appl. Math. 22 (1969), 531-538. MR 247300
- 19.
- H. Weyl, Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen, Math. Ann. 68 (1910), 220-269. MR 1511560
- 20.
- A. Wintner, On the location of continuous spectra, Amer. J. Math. 70 (1948), 22-30. MR 23995
- 21.
- A. Wintner, The adiabatic linear oscillator, Amer. J. Math. 68 (1946), 385-397; Asymptotic integrations of the adiabatic oscillator, Amer. J. Math. 69 (1947), 251-272. MR 16811
Additional Information:
Reviewer(s):
Evans M.
Harrell
II
Review Information:
Journal:
Bull. Amer. Math. Soc.
10
(1984),
311-315.
DOI:
10.1090/S0273-0979-1984-15262-5
PII:
S 0273-0979(1984)15262-5
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