Lorentz Transformations In 2 Dimensions

[KTurner]

Homework Statement

Consider a two-dimensional function

φ = φ(x,t)

that satisfies the relativistic wave equation given by:

[PLAIN]https://adgiiq.blu.livefilestore.com/y1pe5tdBVr0r62krIiWV_PQ42r1jrzQpWKz24xRgNe138phEqCNyZJKFXhBXqqL4YCvYeAsgVQtJJwovzjL0mKiNXyd6p1zHvkx/equation.jpg?psid=1

This equation is said to be covariant with respect to the special Lorentz transformations if exactly this equation patter arises when the variables are switched to the prime ones using the Lorentz relations

[PLAIN]https://adgiiq.blu.livefilestore.com/y1pjvmy8z5s3LeVZau_6rBjOb_5-IE1-rvRj8aRCDgeZbg8XH8Dbs65KFJqJIg0XZz7sbHLq1aWr4wP9Pfdwai3ip-bnRQaooBQ/definitions.jpg?psid=1

v = constant speed, c = speed of light (also constant), and x, t are coordinates in one frame while x', t' are coordinates in another frame. Demonstrate the Lorentz covariance explicity

Homework Equations

The Attempt at a Solution

We've been working on this for HOURS and have no idea where to start even.

Thanks so much for all the help.

Katie.

 

[vela]

Your images aren't showing up. It would be better anyway if you just typeset it in the post using the LaTeX feature of this forum.