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The wave aspects of a macroscopic object are so tiny as to be unobservable in any useful sense, although interesting to muse about.A physically real wave associated with any moving particle and travelling in a surrounding material medium was introduced by Louis de Broglie in a series of short notes in 1923 and in a more complete form in his thesis defended in Paris on the 25th November 1924.
Louis de Broglie subsequently, in 1932, was made professor of theoretical physics at the University of Paris. But to explain the way in which my research came to develop I must first outline the critical period through which Physics had for the last twenty years been passing.
Physicists had for long been wondering whether Light did not consist of minute corpuscles in rapid motion, an idea going back to the philosophers of antiquity, and sustained in the eighteenth century by Newton.
He volunteered for military service and spent the war years in Paris assisting in the development of wireless communication from the Eiffel Tower.
After the War he entered a doctoral program in physics at the University of Paris.
He soon began teaching physics first at the Sorbonne and later at the Henri Poincaré Institute. Below is given the text of the speech Louis de Broglie delivered in Stockholm upon receiving the Nobel Prize in Physics in 1929, When, in 1920, I resumed my investigations in theoretical Physics after a long interruption through circumstances out of my own control, I was far from imagining that this research would within a few years be rewarded by the lofty and coveted distinction given each year by the Swedish Academy of Sciences: the Nobel Prize in Physics.
He received the Nobel Prize in Physics in 1929 after experiments by Clinton Davisson and Lester Germer published in 1927 proved his analysis to be correct. At that time what drew me towards theoretical Physics was not the hope that so high a distinction would ever crown my labours: what attracted me was the mystery which was coming to envelop more and more deeply the structure of Matter and of radiation in proportion as the strange concept of the quantum, introduced by Planck about 1900 during his research on black body radiation, came to extend over the entire field of Physics.
De Broglie's derivation of this equation made use of concepts as the group velocity of a wave train and the Special Theory of Relativity.
His thesis was accepted and his doctoral degree granted.
Here is how the De Broglie hypothesis was developed.
In 1927, physicists Clinton Davisson and Lester Germer, of Bell Labs, performed an experiment where they fired electrons at a crystalline nickel target.