The error is due to an incorrect binomial formula in Eq. (AlO). The correct version ofEq. (28) is. C"'(U) = 3 aaH/UZ(Z). The authors are grateful to Adam Bincer for ...
Erratum: Hamiltonian operators with maximal eigenvalues [J. Math. Phys. 25, 48(1984)] E. M. Harrell Citation: J. Math. Phys. 27, 419 (1986); doi: 10.1063/1.527350 View online: http://dx.doi.org/10.1063/1.527350 View Table of Contents: http://jmp.aip.org/resource/1/JMAPAQ/v27/i1 Published by the AIP Publishing LLC.
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ERRATA Erratum: On topological boundary characteristics in nonabelian gauge theory [J. Math. Phys. 24, 2528 (1983)]
c.
CronstrOm
Department of Theoretical Physics, University ofHelsinki, Siltavuorenpenger 20 C. Helsinki 17, Finland
J. Mickelsson Department ofMathematics, University ofJyviiskylii. Seminaarinkatu 15, Jyviiskylii 10, Finland and Department of Theoretical Physics, University ofHelsinki, Siltavuorenpenger 20 C. Helsinki 17, Finland
(Received 12 August 1985; accepted for publication 27 September 1985) There is an arithmetic mistake in the proof of Eq. (28). The error is due to an incorrect binomial formula in Eq. (AlO). The correct version ofEq. (28) is C"'(U) = 3 aaH/UZ(Z).
Correspondingly, Eq. (All) should read as follows
C= -3dH. The authors are grateful to Adam Bincer for calling their attention to the mistake in question.
Erratum: Hamiltonian operators with maximal eigenvalues [J. Math. Phys. 25, 48 (1984)] E. M. Harrell" School ofMathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
(Received 19 August 1985; accepted for publication 27 September 1985) Egnell l has pointed out that it was not actually proved that the maximizer for the set Q (I,e) remains in that set, and thus the truncation argument of the proof of Theorem 1 is not justified. If the maximizer does not remain in that set, then it need not be a mUltiple of a characteristic function. He has constructed an example (with mixed boundary conditions) where the maximizer is in fact a delta function. I For
some improved existence results and related material, see Refs. 1 and 2. 'H. Egnell, "Extremal properties of the first eigenvalue of a class of elliptic eigenvalue problems," Uppsala University, Department of Mathematics, report No.7, 1985. 2M. S. Ashbaugh and E. M. Harrell II, "Maximal and minimal eigenvalues and their associated nonlinear equations," preprint, 1985.
Erratum: Calculating resonances (natural frequencies) and extracting them from transient fields [J. Math. Phys. 26, 1012 (1985)] A. G. Ramm Mathematics Department, Cardwell Hall, Kansas State University, Manhattan, Kansas 66505
(Received 1 May 1985; accepted for publication 1 May 1985)
The last paragraph in Sec. II C should read as follows: A similar idea was used in Ref. 11. Convergence of the methods given in "Sec. II B and a study of their stability are
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J. Math. Phys. 27 (1), January 1986
given in the next subsection. The line (3.3) should read as follows: provided that hI < h2 < ....
@) 1985 American Institute of Physics
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