I was not a quick or easy convert to systems thinking, despite the fact that my neural pathways were shaped by my undergraduate degree in physics, where linear Newtonian mechanics quickly gave way to the more mind-bending world of quantum mechanics, wave particle duality, relativity, and Heisenberg's uncertainty principle.
McLaren mechanics waved Hamilton through as his girlfriend Nicole Scherzinger smiled at the error.
Examples include material sciences, mechanics, wave propagation, signal processing, system identification, and so on.
Such concepts are also frequently invoked to reason about behaviors of physical systems (e.g., force in Newtonian mechanics, wave functions in quantum mechanics).
For those who have not moved beyond non-relativistic Schrödinger wave mechanics, the wave picture provides a perfectly good model to compute quantum effects, without having to think about what mysterious aether is doing the waving.
In quantum mechanics, the wave-like property of one particle can be described mathematically as a complex-valued function, the wave function, commonly denoted by the Greek letter psi.
The Riesz-Fischer theorem of 1907, concerning the equivalence of the Hilbert space of sequences of convergent sums of squares with the space of functions of summable squares, formed the mathematical basis for demonstrating the equivalence of matrix mechanics and wave mechanics, a major breakthrough in early quantum theory.
Matrix mechanics and wave mechanics were formulated roughly around the same time between 1925 and 1926.
Dirac's attempt to prove the equivalence of matrix mechanics and wave mechanics made essential use of the delta function, as indicated above.
In quantum mechanics, the wave interaction can be debated in terms of particles quantum tunneling.
Schrödinger was the first to raise the question of the relationship between matrix mechanics and wave mechanics in (Schrödinger 1926), which was published in Annalen in spring 1926 between the publication of his second and third papers of the famous four.
