Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
Show that the gauge transformation in electromagnetic field maps the L to an equiv- alent Lagrangian L', where L' = L+ dFG) and F(q, t) is a function of generalised coordinates (q;) and time t. Using the aforesaid Lagrangian calculate the generalised momentum and obtain the Hamiltonian of the charged particle moving in electromagnetic field.

Show that the gauge transformation in electromagnetic field maps the L to an equiv- alent Lagrangian L', where L' = L+ dFG) and F(q, t) is a function of generalised coordinates (q;) and time t. Using the aforesaid Lagrangian calculate the generalised momentum and obtain the Hamiltonian of the charged particle moving in electromagnetic field.

icon
Related questions
Question

1

Show that the gauge transformation in electromagnetic field maps the L to an equiv- alent Lagrangian L', where L' = L+ dFG,1) and F(q, t) is a function of generalised coordinates (q:) and time t. dt Using the aforesaid Lagrangian calculate the generalised momentum and obtain the Hamiltonian of the charged particle moving in electromagnetic field.
Transcribed Image Text:Show that the gauge transformation in electromagnetic field maps the L to an equiv- alent Lagrangian L', where L' = L+ dFG,1) and F(q, t) is a function of generalised coordinates (q:) and time t. dt Using the aforesaid Lagrangian calculate the generalised momentum and obtain the Hamiltonian of the charged particle moving in electromagnetic field.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer