Bohr's model
Оригинал взят у shkrobius в Bohr's model
January 2014 issue of Physics Today has an expository article on Bohr's model by Herschbach & Co.
http://scitation.aip.org/content/aip/magazine/physicstoday/article/67/1/10.1063/PT.3.2243
read on https://dl.dropboxusercontent.com/u/43807687/Herschbach%202014%20Bohr's%20model.pdf
This is something I've missed: that Bohr's model becomes the exact quantum description of an H atom when the number D of dimensions increases to infinity. The solution at finite D can be expanded in powers of 1/D and then scaled back. See p. 35.
Apparently, Bohr's models for He, H2+, and H2 also represent the correct high-D limit, and further corrections can be made using the standard perturbation theory and expanding in 1/D.
It appears that what Bohr discovered a century ago was dimensional scaling!
January 2014 issue of Physics Today has an expository article on Bohr's model by Herschbach & Co.
http://scitation.aip.org/content/aip/magazine/physicstoday/article/67/1/10.1063/PT.3.2243
read on https://dl.dropboxusercontent.com/u/43807687/Herschbach%202014%20Bohr's%20model.pdf
This is something I've missed: that Bohr's model becomes the exact quantum description of an H atom when the number D of dimensions increases to infinity. The solution at finite D can be expanded in powers of 1/D and then scaled back. See p. 35.
Apparently, Bohr's models for He, H2+, and H2 also represent the correct high-D limit, and further corrections can be made using the standard perturbation theory and expanding in 1/D.
It appears that what Bohr discovered a century ago was dimensional scaling!