“math> (\left|x\right\rang \left|y\right\rang- \left|y\right\rang \left|x\right\rang) … was my first lesson in quantum mechanics, and in a very real sense my last, since the rest is mere technique, which can be learnt from books.”

J. C. Ward, Memoirs of a Theoretical Physicist (Optics Journal, Rochester, 2004).

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John Clive Ward 5
British-Australian nuclear physicist 1924–2000

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\begin{cases}y^2 = b. ON = b. PM = bx\\ and\\ xy = PM. PN = ab\end{cases}whence\frac{a}{x} = \frac{x}{y} = \frac{y}{b}.
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The point P where the two parabolas intersect is given by<center><math>\begin{cases}y^2 = bx\\x^2 = ay\end{cases}</math></center>whence, as before,<center><math>\frac{a}{x} = \frac{x}{y} = \frac{y}{b}.</math></center>
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