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Some remarks on Pauli data in quantum mechanics

Published online by Cambridge University Press:  17 February 2009

Charles. N. Friedman
Charles. N. Friedman
Affiliation:
Department of Mathematics, The University of Texas, Austin, Texas, U.S.A.
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Abstract

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The problem of determining a square integrable function from its modulus and that of its Fourier transform has been considered in an article by Corbett and Hurst ([1]). In this work we point out an error in one of the main results of the cited article concerning the Pauli uniqueness of real states, provide a proof of uniqueness for non-negative states, and present various related examples and discussion of the problem.

Type
Research Article
Information
The ANZIAM Journal , Volume 30 , Issue 3 , January 1989 , pp. 298 - 303
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Corbett, J. V. and Hurst, C. A., “Are wave functions uniquely determined by their position and momentum distributions?”, J. Austral. Math. Soc. Ser. B 20 (1977) 182–201.CrossRefGoogle Scholar
[2]Nelson, E., Quantum fluctuations (Princeton Series in Physics, Princeton University Press, Princeton, N. J., 1985).CrossRefGoogle Scholar
[3]Rudin, W., Real and complex analysis (McGraw Hill, New York, 1966).Google Scholar