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AlvisPrabhu
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I did look it up , but couldn't find anything that explains this in a simple manner.
AlvisPrabhu said:I did look it up , but couldn't find anything that explains this in a simple manner.
AlvisPrabhu said:I did look it up , but couldn't find anything that explains this in a simple manner.
Well, it is actually pretty simple. By definition of mass (in units where c=1): ##m^2=E^2-p^2##. And for a photon ##E=p##. So by substitution ##m^2=p^2-p^2=0##AlvisPrabhu said:I did look it up , but couldn't find anything that explains this in a simple manner.
MathLover69 said:If you want to read more, go search for Wave-Particle duality online.
I never said that wave-particle duality was "part of modern quantum physics". I said " If you want to read more, go search for Wave-Particle duality online.". ?weirdoguy said:Wave-particle duality is not part of modern quantum physics! Your whole post is very misleading.
MathLover69 said:I said " If you want to read more, go search for Wave-Particle duality online.". ?
weirdoguy said:Wave-particle duality is not part of modern quantum physics! Your whole post is very misleading.
Thanks , but what is p here?Dale said:Well, it is actually pretty simple. By definition of mass (in units where c=1): ##m^2=E^2-p^2##. And for a photon ##E=p##. So by substitution ##m^2=p^2-p^2=0##
AlvisPrabhu said:Thanks , but what is p here?
davenn said:trying to advice the OP to go read up of wave-particle duality is bad advice,
as it is likely to lead them down the path of believing that it is still a practical approach.
Dave
##p## is momentum. So in units where c=1 mass is defined as ##m^2=E^2-p^2## meaning that the square of the mass is equal to the square of the energy minus the square of the momentum. This is the definition of mass.AlvisPrabhu said:Thanks , but what is p here?
MoreAndMore said:Why is it no longer a practical approach if you don’t mind me asking?
MoreAndMore said:Why is it no longer a practical approach if you don’t mind me asking?
basically, that's whyweirdoguy said:@MoreAndMore wave-particle dualism is part of the old quantum theory that died around 1924-26. It was replaced by modern quantum physics that 'starts' with nonrelativiatic quantum mechanics, Schreodinger equation, Dirac formalism, etc. Simply there is no place for it in that formalism.
So technically is an electron a particle?PeroK said:If you study QM, then the behaviour of a particle (an electron, say), is described by the quantum theory.
Why not?David Lewis said:So technically is an electron a particle?
AlvisPrabhu said:I did look it up , but couldn't find anything that explains this in a simple manner.
MUCH better to say that an electron is a quantum object. "particle" has connotations of a classical particle (a little billiard ball) that are misleading to the beginner. Alternatively you could say it is a "quantum particle" but that's awkward and mildly incomplete. Quantum object is the true description.David Lewis said:So technically is an electron a particle?
I'm guessing, from a QM perspective, because a photon does not have a position operator.sophiecentaur said:Why would a photon not be a particle either?
Photons are considered to be massless because they do not have rest mass, meaning they do not have mass when they are at rest. However, they do have energy, which is equivalent to mass according to Einstein's famous equation E=mc^2. This energy is what gives photons their properties such as momentum and wavelength, but it does not contribute to their mass.
Yes, particles can have momentum without having mass. This is because momentum is defined as the product of an object's mass and velocity. Since photons are always moving at the speed of light, they have momentum even though they do not have mass.
Although photons do not have mass, they do have energy and can interact with matter through the electromagnetic force. This interaction allows photons to be absorbed, reflected, or scattered by matter, which is what enables us to see and use light in various forms of technology.
According to the theory of relativity, time is relative and depends on an object's motion and its frame of reference. Since photons are always moving at the speed of light, time appears to stand still for them. This means that from the perspective of a photon, it experiences no time.
Scientists have conducted numerous experiments and observations that have consistently shown that photons do not have mass. One of the most famous experiments is the Michelson-Morley experiment, which demonstrated that the speed of light is constant and does not change with the motion of the observer. This led to the development of Einstein's theory of relativity, which explains the properties of photons, including their masslessness.