Register to reply

Meaning of Square of four vector potential

by merrypark3
Tags: meaning, potential, square, vector
Share this thread:
Mar8-13, 03:08 PM
P: 28
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
Step lightly: All-optical transistor triggered by single photon promises advances in quantum applications
The unifying framework of symmetry reveals properties of a broad range of physical systems
What time is it in the universe?
Mar8-13, 08:49 PM
P: 17,326
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.
Mar16-13, 06:06 AM
Sci Advisor
HW Helper
tiny-tim's Avatar
P: 26,148
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