Negative Energy Solutions to Photon Wavefunction


by RoKo
Tags: energy, negative, photon, solutions, wavefunction
RoKo
RoKo is offline
#1
May16-09, 05:08 PM
P: 17
Hello:

My question is simple: Does not the standard differential wave equation from Maxwell's relations lead to both positive and negative energy solutions for a photon's E field? If so, then why do we always throw away the negative energy solutions? Is this just custom? I suspect it is. But when considering excitations of the vacuum, it appears to me that the negative energy solutions for the photon would be important. Are they thrown away by QED theorists?

Could it be possible to create a zero energy superposition state with positive energy photons superposed to negative energy photons? And would that state not take zero energy to make, by definition? What would the wave function of such a state look like then?

Maybe QED theorists treat negative energy photons as positive energy photons moving backwards in time.

And when dealing with negative energy photons, is there not the apparent necessity of understanding how the E and B fields transform under energy inversion? So, perhaps the E and B fields of positive and negative photons don't superpose in such a simple manner.

I believe this all relates to an important real-world physics problem, and I believe I know some of the answers I am seeking, but because I am an experimentalist, I am seeking advice from a "higher authority."

Thanks for your help.

RoKo
Phys.Org News Partner Physics news on Phys.org
Physicists design quantum switches which can be activated by single photons
'Dressed' laser aimed at clouds may be key to inducing rain, lightning
Higher-order nonlinear optical processes observed using the SACLA X-ray free-electron laser
matematikawan
matematikawan is offline
#2
May20-09, 11:14 PM
P: 330
Quote Quote by RoKo View Post
Hello:

My question is simple: Does not the standard differential wave equation from Maxwell's relations lead to both positive and negative energy solutions for a photon's E field?
RoKo
Does it gives a negative solution?

Long time ago I learnt that the Dirac equation for spin half electron gives negative energy solution.
RoKo
RoKo is offline
#3
May20-09, 11:23 PM
P: 17
Quote Quote by matematikawan View Post
Does it gives a negative solution?

Long time ago I learnt that the Dirac equation for spin half electron gives negative energy solution.
Yes, I believe that if you carefully work through the standard differential equation for the photon, you will see that there are negative energy solutions.

Dirac did indeed get negative mass solutions for the electron and that led him eventually to come up with the idea for the positron. So, antiparticles have their basis with the negative mass electron.

But I don't believe anyone has ever searched for either negative energy photons or negative mass electrons. Do they exist? I believe maybe they do.

RoKo

miosim
miosim is offline
#4
Mar22-11, 12:25 AM
P: 92

Negative Energy Solutions to Photon Wavefunction


Quote Quote by RoKo View Post
... Dirac did indeed get negative mass solutions for the electron and that led him eventually to come up with the idea for the positron. So, antiparticles have their basis with the negative mass electron...
RoKo,

Does it means that Diracís prediction donít derived from the negative mass solutions, because positron has opposite charge not a mass.
HallsofIvy
HallsofIvy is offline
#5
Mar22-11, 11:08 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,886
This is really a physics question, not mathematics, so I am moving it.
netheril96
netheril96 is offline
#6
Mar22-11, 11:18 AM
P: 193
Quote Quote by RoKo View Post
Hello:

My question is simple: Does not the standard differential wave equation from Maxwell's relations lead to both positive and negative energy solutions for a photon's E field? If so, then why do we always throw away the negative energy solutions? Is this just custom? I suspect it is. But when considering excitations of the vacuum, it appears to me that the negative energy solutions for the photon would be important. Are they thrown away by QED theorists?

Could it be possible to create a zero energy superposition state with positive energy photons superposed to negative energy photons? And would that state not take zero energy to make, by definition? What would the wave function of such a state look like then?

Maybe QED theorists treat negative energy photons as positive energy photons moving backwards in time.

And when dealing with negative energy photons, is there not the apparent necessity of understanding how the E and B fields transform under energy inversion? So, perhaps the E and B fields of positive and negative photons don't superpose in such a simple manner.

I believe this all relates to an important real-world physics problem, and I believe I know some of the answers I am seeking, but because I am an experimentalist, I am seeking advice from a "higher authority."

Thanks for your help.

RoKo
Give me a solution in which E field has a negative energy.
I mean classical, Maxwellian. No QED.
Creator
Creator is offline
#7
Mar22-11, 07:18 PM
P: 534
Quote Quote by RoKo View Post
Hello:

My question is simple: Does not the standard differential wave equation from Maxwell's relations lead to both positive and negative energy solutions for a photon's E field?

Does not; the energy of an Electric field goes as E^2 (where E is the electric field), therefore there are only positive energy solutions....at least with Maxwell's eqns.

Creator


Register to reply

Related Discussions
Question about photon wavefunction General Physics 31
Negative energy solutions - Dirac equation Quantum Physics 3
No photon wavefunction? Quantum Physics 18
Photon wavefunction Quantum Physics 2
Photon wavefunction and speed of light Quantum Physics 15