878 resultados para positivity preserving
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Mode of access: Internet.
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Mode of access: Internet.
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Mode of access: Internet.
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Mode of access: Internet.
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"October 1960."
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Includes bibliographical references (p. 48-50).
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Shipping list no.: 97-0056-P.
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Mode of access: Internet.
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Pt. 5 issued by the subcommittee under its later name: Subcommittee on Reorganization, Research, and International Organizations.
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Mode of access: Internet.
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Includes bibliographical references (p. 313-314) and index.
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Bibliography at ends of some chapters.
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A central feature in the Hilbert space formulation of classical mechanics is the quantisation of classical Lionville densities, leading to what may be termed Groenewold operators. We investigate the spectra of the Groenewold operators that correspond to Gaussian and to certain uniform Lionville densities. We show that when the classical coordinate-momentum uncertainty product falls below Heisenberg's limit, the Groenewold operators in the Gaussian case develop negative eigenvalues and eigenvalues larger than 1. However, in the uniform case, negative eigenvalues are shown to persist for arbitrarily large values of the classical uncertainty product.