By Louis De Broglie
AN advent TO THE research OF WAVE MECHANICS via LOUIS DE BROGLIE DOCTEUB 8-8CIENCES, PROFESSOR within the HENRI POISCAR INSTITUTE, PARIS TRANSLATED FROM THE FRENCH via H. T. FLINT, D. Sc., PH. D. WITH FOURTEEN DIAGRAMS I METHUEN C0. LTD. 36 ESS-EX f EET W. C. First released in 1930 CONTENTS web page PBNBBAL advent 1 bankruptcy I HE previous structures OF MECHANICS OP A PARTICLE eleven bankruptcy II J HB concept OF JACOBI 26 bankruptcy III THE CONCEPTIONS UNDERLYING WAVE MECHANICS 39 bankruptcy IV common feedback ON WAVE PROPAGATION forty nine bankruptcy V THE EQUATIONS OF PROPAGATION OF THE WAVE linked to A PARTICLE sixty eight bankruptcy VI CLASSICAL MECHANICS AND WAVE MECHANICS seventy nine , bankruptcy VII the main OF INTERFERENCE AND THE DIFFRACTION OF ELECTRONS by way of CRYSTALS 88 bankruptcy VIII the main OF INTERFERENCE AND THE SCATTERING OF CHARGED debris via a hard and fast CENTRE 102 bankruptcy IX THE movement OF THB chance WAVE within the NEW MECHANICS . .111 bankruptcy X THE WAVE MECHANICS of sunshine QUANTA , 12 bankruptcy XI the speculation OF BOHR AND HBWENBERG vi An creation to the learn of Wave Mechanics bankruptcy XII PAG THB chance OF dimension AND HBISENBERGS kin . , 1 bankruptcy XIII THE PROPAGATION OF A educate OF -WAVES within the ABSENCE OF A box OF strength AND IN A UNIFORM box 1 bankruptcy XIV WAVE MECHANICS OF platforms OF debris IVs bankruptcy XV the translation OF THE WAVE linked to THE movement OF A approach 188 bankruptcy XVI THE outdated QUANTUM conception AND the steadiness OF PERIODIC movement . 199 bankruptcy XVII the steadiness OF QUANTISED movement FROM the viewpoint OF WAVE MECHANICS .... 212 bankruptcy XVIII a few EXAMPLES OF QUANTISATION 227 bankruptcy XIX THE which means OF THE -WAVES OF QUANTISED platforms .... 238 INDEX 247 AN advent TO THE examine OF WAVE MECHANICS normal creation l the recent wave mechanics has obtained in the past years the enterprise aid of test, because of the invention of a remarkable phenomenon thoroughly unknown formerly, viz. the diffraction of electrons by way of crystals. From one viewpoint it can be stated that this discovery is the precise counterpart of the older discovery of the picture electrical impact, because it exhibits that for topic as for mild now we have hitherto overlooked one of many facets of actual truth. the invention of the photo-electric impact has taught us that the undulatory thought of sunshine, firmly demonstrated via Fresnel and accordingly built by way of Maxwell because the electro magnetic conception, even though it incorporates a huge physique of fact, is, however, inadequate, and that it will be significant, in a undeniable experience, to show back to the corpuscular belief of sunshine proposed by way of Newton. Planck, in his well-known thought of black physique radiation, used to be ended in think that radiation of frequency v is usually emitted and absorbed in equivalent and finite amounts, in quanta of significance hv, h being the consistent with which the identify of Planck will continually be linked. with a view to clarify the photo-electric impression, Einstein had in simple terms to undertake the speculation, that is rather in conformity with the tips of Planck, that mild involves corpuscles and that the power of the cor puscles of sunshine of frequency v is hv. while a mild corpuscle in its passage via subject encounters an electron at relaxation, it will possibly impart o it its power hv and the electron therefore set in 1 This creation is the replica of a verbal exchange made via the writer on the assembly of the British organization for the improvement ment of technology held in Glasgow in September, 1928, 1 2 An creation to the learn of Wave Mechanics movement will depart the problem with kinetic strength equivalent in volume to the variation among the strength hv, which it has bought, and the paintings it has needed to dissipate to get out of the problem. Now, this is often exactly the experimental legislations of the photo-electric impact within the shape which has been validated in succession for all of the radiations from the ultra-violet sector to X-and y-rays...
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