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Feb 3, 2014 at 4:31 comment added anna v @Friedrich yes, it is confusing and not useful, though the concept of holes has been useful in solid state QM models.
Feb 2, 2014 at 22:23 comment added Friedrich To quote Weinberg in "The Quantum Theory of Fields" quoting Schwinger: "The picture of an infnite sea of negative energy electrons is now best regarded as a historical curiosity, and forgotten."
Jun 9, 2013 at 14:13 comment added moray95 @dmckee Actually this is false because when you solve $E^2=m^2+p^2$ for $E$ you get : (1) $E=\sqrt{m^2+p^2}$ OR (2) $E=-\sqrt{m^2+p^2}$. Thus $E$ can be positive (as in 1) or negative (as in 2).
Jun 9, 2013 at 14:07 comment added dmckee --- ex-moderator kitten @moray95 The fundamental equation involving mass and energy is $E^2 = m^2 + p^2$ (in $c = 1$ units) and the important thing to notice is that the mass enters squared so the energy contribution is always positive.
Jun 9, 2013 at 14:03 history edited anna v CC BY-SA 3.0
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Jun 9, 2013 at 13:54 comment added anna v The antiparticle is a hole in the negative energy sea and thus instead of -E it has E, so the annihilation has E_negative_hole +E_postive is all positive energy. The supposition is that all the negative energy states are filled up, except if a hole exists, which is then interpreted as a positive energy antiparticle.
Jun 9, 2013 at 12:59 comment added moray95 So what about the total energy energy coming from the collision of the particle and anti-particle?
Jun 9, 2013 at 12:54 history answered anna v CC BY-SA 3.0