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Book Review
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Book Information
Author(s):
Michael Demuth and M. Krishna
Title:
Determining spectra in quantum theory
Additional book information:
Progress in Mathematical Physics, vol. 44, Birkhäuser,
Boston,
2005,
x+219 pp.,
US$99.00,
ISBN 978-0-8176-4366-9
References:
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- 4.
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- 15.
- A. Jensen, M. Krishna: New criteria to identify spectra, Proc. Ind. Acad. Sci. 115 (2005), 1-10. MR 2142467 (2006j:47003)
- 16.
- T. Kato: Perturbation Theory for Linear Operators, second edition, Springer-Verlag, Berlin, 1976. MR 0407617 (53:11389)
- 17.
- S. Kotani: One-dimensional random Schrödinger operators and Herglotz functions, Probabilistic methods in mathematical physics (Katata/Kyoto, 1985), 219-250, Academic Press, Boston, MA, 1987. MR 933826 (89h:60100)
- 18.
- J. von Neumann: The Mathematical Foundations of Quantum Mechanics, Investigations in Physics, vol. 2, Princeton: Princeton University Press, 1955. MR 0066944 (16:654a)
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- L. Pastur, A. Figotin: Spectra of Random and Almost-Periodic Operators, Springer-Verlag, Berlin, 1992. MR 1223779 (94h:47068)
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- M. Reed, B. Simon: Methods of Modern Mathematical Physics, volumes 1-4, Academic Press, New York, 1980 (vol. 1, second ed.), 1975, 1979, 1978.
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- E. Schrödinger: Quantisation as a problem of proper values, Ann. Physik (1926), Part I 79, 361; Part II 79, 489; Part III 80, 437; Part IV 81, 109; reprinted in Collected Papers on Wave Mechanics, London, Glasgow, Blackie & Son Limited, 1928.
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Additional Information:
Reviewer(s):
Peter
D.
Hislop
Affiliation:
University of Kentucky
Email:
hislop@ms.uky.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
45
(2008),
469-477.
MSC
(2000):
Primary 81C10;
Secondary 35P05, 47A10
DOI:
10.1090/S0273-0979-08-01193-2
PII:
S 0273-0979(08)01193-2
Posted:
April 21, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
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