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Notes on topics in scienceTue, 25 Jul 2017 10:44:39 +0000hourly1Comment on Virial theorem in 3-d by Runge-Lenz vector and closed orbits | Physics pages
http://www.physicspages.com/2013/01/18/virial-theorem-in-3-d/#comment-212086
Tue, 25 Jul 2017 10:44:39 +0000http://physicspages.com/?p=1884#comment-212086[…] both and are constant, so both the kinetic and potential energies are also constant. From the virial theorem, we know that, […]
]]>Comment on Hydrogen atom – series solution and Bohr energy levels by Runge-Lenz vector and closed orbits | Physics pages
http://www.physicspages.com/2011/06/07/hydrogen-atom-series-solution/#comment-212085
Tue, 25 Jul 2017 10:44:10 +0000http://physicspages.com/?p=532#comment-212085[…] no mention of the angular quantum numbers and . Thus each energy level (each value of ) has a degeneracy of , with degenerate states for each . Each symmetry is associated with the conservation of some […]
]]>Comment on Differential operators – matrix elements and hermiticity by gwrowe
http://www.physicspages.com/2016/11/20/differential-operators-matrix-elements-and-hermiticity/#comment-211792
Sun, 23 Jul 2017 08:29:45 +0000http://www.physicspages.com/?p=13973#comment-211792The prime on always refers to a derivative with respect to , not . Thus , not .
]]>Comment on Differential operators – matrix elements and hermiticity by M
http://www.physicspages.com/2016/11/20/differential-operators-matrix-elements-and-hermiticity/#comment-211701
Sat, 22 Jul 2017 17:49:50 +0000http://www.physicspages.com/?p=13973#comment-211701Does it mean that Dx’x = is derivative of delta function at x’. How can I get statement/equation (7)?
In Shankar’s book we have equation (1.10.20) on page 61: delta'(x-x’)=d/dx(delta(x-x’)) = – d/dx'(delta(x-x’))
therefore
D*x’x = d/dx'(delta(x’-x)) = -d/dx'(delta(x-x’)) because d/dx(delta(x-x’)) is an odd function.
If we use equation (1.10.20) then we can get
D*x’x= d/dx(delta(x-x’)) = Dxx’
Where am I wrong?
]]>Comment on Hermitian operators – a few theorems by Paul Shelton
http://www.physicspages.com/2012/09/04/hermitian-operators-a-few-theorems/#comment-211628
Sat, 22 Jul 2017 15:08:09 +0000http://physicspages.com/?p=1342#comment-211628One can show that H is hermitian using the theorems just given. Griffiths showed in text that p is a hermitian operator. Then p^2 = pp is hermitian, since the product is commutative. Then p^2/2m is hermitian because 1/2m is real. Then the sum H = p^2/2m + V is hermitian because it is the sum of two hermitian operators.
]]>Comment on Virial theorem by The classical limit of quantum mechanics; Ehrenfest’s theorem | Physics pages
http://www.physicspages.com/2012/10/09/virial-theorem/#comment-211622
Sat, 22 Jul 2017 14:26:15 +0000http://physicspages.com/?p=1493#comment-211622[…] seen the virial theorem in one dimension, which […]
]]>Comment on Index – Physics – Thermal & Statistical by Walter W Westfall
http://www.physicspages.com/index-physics-thermal-statistical/#comment-211438
Fri, 21 Jul 2017 13:35:21 +0000http://physicspages.com/?page_id=5340#comment-211438I am trying to find the data on how much the dumping of heat into the oceans from nuclear plants, boat engines, and nuclear vessels has heated the oceans. I found references to a study that stated our waste energy contributes less that 1 percent of what GHG do ( I need to find the research and study it) But I can find no references to the cumulative effects of having heat generators heating the oceans. And rivers for that matter, since I am sure that the Mississippi must be a lot warmer by the time it gets to the Gulf than it would be without our waste in it.
]]>Comment on Angular momentum in a magnetized sphere by tomas
http://www.physicspages.com/2014/06/17/angular-momentum-in-a-magnetized-sphere/#comment-211344
Fri, 21 Jul 2017 08:30:36 +0000http://physicspages.com/?p=4504#comment-211344thanks!
]]>Comment on Magnetic dipole moment of a current loop by Clarification of basic formulas | Physics Forums - The Fusion of Science and Community
http://www.physicspages.com/2013/04/11/magnetic-dipole-moment-of-a-current-loop/#comment-211193
Wed, 19 Jul 2017 22:02:03 +0000http://physicspages.com/?p=2574#comment-211193[…] if http://www.physicspages.com/2013/04/11/magnetic-dipole-moment-of-a-current-loop/ helps. haruspex, Jul 19, 2017 at 5:01 […]
]]>Comment on Hydrogen atom – series solution and Bohr energy levels by Hydrogen atom – radial function at large r | Physics pages
http://www.physicspages.com/2011/06/07/hydrogen-atom-series-solution/#comment-211127
Wed, 19 Jul 2017 16:24:48 +0000http://physicspages.com/?p=532#comment-211127[…] the hydrogen atom, the function is obtained from a series solution of the differential equation with the […]
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