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Nature

[Correspondence]

Published Apr 1, 1970• 0 citations
Publisher
DOI
10.1038/226195c0

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Overview

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In modern times,secure correspondence is needful in military and civil affairs.Because of secure characteristic,quantum correspondence is paid great attention.Ocean is large area,correspondence in the water is an important measure in military and civil task.Quantum correspondence used in the water is a high improvement for correspondence in the water.the key problem is realizing the characteristic of ocean.The key technique of quantum correspondence in the water will be set.Quantum correspondence will be the trend in the future.

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Overview

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Background

Rudolf Haag

Springer eBooks•Jan 1, 1996•0 citations
In modern times,secure correspondence is needful in military and civil affairs.Because of secure characteristic,quantum correspondence is paid great attention.Ocean is large area,correspondence in the water is an important measure in military and civil task.Quantum correspondence used in the water is a high improvement for correspondence in the water.the key problem is realizing the characteristic of ocean.The key technique of quantum correspondence in the water will be set.Quantum correspondence will be the trend in the future.
The main philosophical lesson of holographic gravity is that spatiotemporal descriptions of a field theory may not be respected by observational reality. We apply this lesson to the correspondence principle, and then later justify the lesson (holographic correspondence) without necessitating such spatiotemporal deviations via the law of large numbers in statistics, applied to an average of n quantum measurements. Classical observables are considered to emerge as n approaches infinity. The averaging approach can be interpreted both as a generalization of Bohr's correspondence principle (large number limit) and Planck's correspondence principle (Planck's constant approaching zero). Holographic correspondence and the averaging approach are then re-analyzed in light of preceding works in the correspondence principle. A key consequential lesson is that we should not conflate the nature of fundamental theory observables with that of emergent theory observables, and once this confusion is avoided, the correspondence principle has a solid standing.
We point out that there is a close connection between the Weyl correspondence and coherent state correspondence. By virtue of differential and integral method within normal ordered products we demonstrate that the essence of the Weyl correspondence is just coherent state correspondence in both boson and fermion cases. Furthermore, coherent state form and explicit operator form for the Wigner function are given. With these forms we can derive some important operator formulas from the Weyl correspondence. The Wigner function's zero-point value is also discussed.