It was in 1924 that Louis de Broglie came up with the de Broglie hypothesis which states that matter, just like light has a dual nature and behaves like a wave in specific occasions. This wave-like behaviour of matter was first experimentally demonstrated by George Paget Thomson's thin metal diffraction experiment and it has also been confirmed for other elementary particles, neutral atoms and even molecules. In 1926, Erwin Schrödinger published an equation describing how a matter wave should evolve—the matter wave analogue of Maxwell’s equations—and used it to derive the energy spectrum of hydrogen. Even though there existed conceptual problems with the approach that de Broglie took in his thesis, these difficulties were resolved by Erwin Schrödinger, who developed the wave mechanics approach, starting from a somewhat different basic hypothesis.

 

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