Titlebook: Born-Jordan Quantization; Theory and Applicati Maurice A. de Gosson Book 2016 Springer International Publishing Switzerland 2016 Grossmann-

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https://doi.org/10.1007/b138344December 14, 1900, is usually regarded as the official date of birth of quantum theory, because on that day Max Planck presented a memoir at a meeting of the Physical Society of Berlin in which he solved the enigma of the blackbody spectrum by introducing a new, fundamental, constant of Nature.

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https://doi.org/10.1007/b138344In 1925 Max Born and Pascual Jordan set out to give a rigorous mathematical basis to Werner Heisenberg’s newly born “matrix mechanics”. This led them led to state a quantization rule for monomials.

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https://doi.org/10.1007/b138344In this chapter we begin by collecting some facts about the quantization of monomials and polynomials, with a particular emphasis on the Weyl and Born–Jordan schemes.

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https://doi.org/10.1007/b138344In this rather technical chapter we study pseudo-differential calculus from the point of view developed in Shubin [.] (also see Chap. 14 in de Gosson [.] for a review of the essentials of Shubin’s theory).

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