meaning of Square of four vector potential


by merrypark3
Tags: meaning, potential, square, vector
merrypark3
merrypark3 is offline
#1
Mar8-13, 03:08 PM
P: 21
The square of the four vector potential.

[itex](\phi,A)^2=\phi ^2 - A^2[/itex]

What's the physical meaning of this lorentz invariant?
Phys.Org News Partner Physics news on Phys.org
The hemihelix: Scientists discover a new shape using rubber bands (w/ video)
Mapping the road to quantum gravity
Chameleon crystals could enable active camouflage (w/ video)
DaleSpam
DaleSpam is offline
#2
Mar8-13, 08:49 PM
Mentor
P: 16,485
If the invariant is timelike then it would be the scalar potential in a frame where the vector position was 0, and if the invariant is spacelike then it would be the magnitude of the vector potential in a frame where the scalar potential is 0. However, unless you are using the Lorentz gauge your gauge condition is frame variant so interpreting it becomes a little strange.
tiny-tim
tiny-tim is offline
#3
Mar16-13, 06:06 AM
Sci Advisor
HW Helper
Thanks
tiny-tim's Avatar
P: 26,167
hi merrypark3!

you can add any constant vector to the potential without changing the physics

so you can make that invariant anything you like!


Register to reply

Related Discussions
Square root of volume in fourier expansion of the vector potential Quantum Physics 1
What is the definition and physical meaning of Magnetic Vector Potential? General Physics 0
Feynman's vector potential, a physical meaning clue General Physics 1
Meaning of the square root and its contradiction General Math 5
vector potential square loop Advanced Physics Homework 0