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Lectures on Wave Mechanics

1928

the equations !obtained in the last lecture only in the 'fact that we to su stitute for the electronic as m the effective as pi given by pl in where M is the mass of the nucleus. [...] The third ,curve in the figure represents the density of c-!:1ectron distill. - bution. ) 'When li! has the value —1. 7, the nttraction of the H. 4 ion by the electrons just compensates for the repulsion by the nucleus, and thus determines the position of equilibrium. [...] Since the deno minator in the summation term involves the natural frequencies of the atom, we get a ready explanation of all the anomalous dispersion effects 'exhibited by the atoms of the medium in the neighbourhood of its spectral lines, just as in the classical theory, but with the charac teristic difference that here the pik's refer to the real absorption, lines (iliyik=Ey--E'ag and not as in [...] The factor fik is proportional in the first place to qjk to the probability of spontaneous transition of the: atom from . / to k or from k to j, and secondly to Ajkl, which may be called the probability eoeli. cient of excita- tion corresponding to the above type of transition. 86 LECTURES ON WAVE ,MECHANICS In the foregoing treatment we have con- sidered the initial state k of the atom to be the low [...] If we deduct, from this 'total energy the energy E, of the elec tron, at rest at infinity, we obtain for its kinetic energy (6)PHOTO-ELECTRIC EFFECT But —EoEkPIsay* is the energy corresponding to the ionisation potential, i. e. , the energy of binding of the electron in the Esi, state, the energy of binding at Eo, being taken as reference zero (that is, the electron is free in the E state).
technology medicine science
Pages
130
Published in
India
SARF Document ID
sarf.100014
Segment Pages Author Actions
Foreword
i-vi Arnold Sommerfeld view
I. The Kepler Problem—Mathematical Method of Integration
1-19 unknown view
II. The Kepler Problem (Continued)—Physical Consequences
20-36 unknown view
III. Correspondence of Wave Mechanics With Classical Mechanics
37-48 unknown view
IV. Dirac’s Theory of the Spinning Electron
49-62 unknown view
V. Dirac’s Theory {Continued)
63-74 unknown view
VI. Dispersion and Scattering
75-94 unknown view
VII. The Photo-Electric Effect and the Compton Effect
95-118 unknown view
Addenda To Lecture VII
119-120 unknown view
Important Publications of the Calcutta University
1-4 unknown view

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