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Born–Jordan Pseudo-Differential Operators

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Book cover Born-Jordan Quantization

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 182))

Abstract

In Chap. 7 we defined Born–Jordan quantization by using the properties of the Cohen class. In this chapter we use the theory of Shubin operators and define the Born–Jordan operator \(\widehat{A}_{\mathrm {BJ}}\) with symbol a as being the average over the interval [0, 1] of the \(\tau \)-operators \(\widehat{A}_{\tau }\) with the same symbol.

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Correspondence to Maurice A. de Gosson .

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de Gosson, M.A. (2016). Born–Jordan Pseudo-Differential Operators. In: Born-Jordan Quantization. Fundamental Theories of Physics, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-319-27902-2_10

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