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    Graduate How fundamental are complex numbers in quantum theory?

    Hartley and Fourier both give phase spectra.
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    Graduate How fundamental are complex numbers in quantum theory?

    Wikipedia: Hartley transform Weird, I get three math-related matches on the first page: [SIZE="1"] http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=272142 http://dx.doi.org/10.1109/CIC.1989.130514 http://www-hsc.usc.edu/~jadvar/CinC-Cepstrum.pdf
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    Graduate How fundamental are complex numbers in quantum theory?

    Interesting, but it seems to assume a priori the use of 2-dimensional quantities of some sort, though not complex numbers specifically. Has anyone devised a similar argument that rules out the reals?
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    Graduate How fundamental are complex numbers in quantum theory?

    The initial development of QM inherited the use of complex numbers from Fourier analysis. Had Hartley analysis been invented first, is it possible that QM might have been formulated in terms of real-valued quantities instead, or are complex numbers in some sense natural or necessary when...
    • Guillemet
    • Thread
    • Complex Complex numbers Fundamental Numbers Quantum Quantum theory Theory
    • Replies: 11
    • Forum: Quantum Physics