UMD PHYS 601 - Homework #2 (2 pages)

Previewing page 1 of 2 page document View the full content.
View Full Document

Homework #2



Previewing page 1 of actual document.

View the full content.
View Full Document
View Full Document

Homework #2

111 views


Pages:
2
School:
University of Maryland, College Park
Course:
Phys 601 - Theoretical Dynamics
Theoretical Dynamics Documents
Unformatted text preview:

Physics 601 Homework 2 Due Friday September 17 01 22234 50 67 8 9 0 Hint For some of these problems it will be helpful to use Mathematica or some other symbolic manipulation program If you make use of such a program please 0102 0132 0140 include the output with your homework solutions 01 22234 50 67 8 9 0 5 6 6 7 1 22 2 20 13 4 Goldstein 0102 0132 0140 81 5 9 6 6 9 6 A In5 6 6 7 addition 9 6 A A 6 6 6 96 9 BA 6 1 C 9 2 2 6 A DDD 9 BA 6 81 96 6 6 9 A 6 6 1 E F 2 5 9 6 6 9 6 A G 6 9 H 6 F 696 6 9 6 A A 6 6 6 96 9 BA 6 1 C 9 2 2 6 A DDD 9 BA 6 9 I A 6 6 96 6 6 6 9 A 6 96 6 6 9 A 6 6 1 E F 2 6 1 J 6 9 6 6 6 6 G 6 9 H 6 F 696 6 9 BA 6 6 9 6 96 6 6 6 9 9 I A 6 6 96 6 6 6 9 A 6 6 A 9 6 A A 6 6 1 K 6 6 6 1 J 6 9 6 6 6 6 A A 6 6 A 6 6 1 L 6 D 9 BA 6 6 9 6 96 6 6 6 9 L x y x y 12 m x 2 y 2 12 m 2 x 2 y 2 6 6 69 96 7 6 A 9 6 A A 6 6 1 K 6 6 6 96 6 6 1 A A 6 6 A 6 6 1 L 6 D 2 2 2 1 m x 2y y 212 m x12 2m y 22 x 2 6 9 1 1 2 E L x 12 m y2 x y 2 6 6 69 96 7 2 y x 1 M BA 6 6 6 9 6 96 6 6 1 2 2 22 2 1 1 2 2 12 m x 2 Ey 2 12 m m x y 2 1 BA 6 2 2 x y 2 m 1 x y 2 6 9 1 M BA 6 6 6 9 91 1 9 9A 6 6 2 Q121m 2 x 2L Q y 22 1 BA 6 12 m x 2 y L 6 2 6 Q1 x y Q2 x y 91 9 9A 6 6 x 0 y 0 L Q2 1 y 0 Q1 x y 0 x LQ 2Q x 6 2 6 Q1 x y Q2 x y y 2 6 9 6 6 6 96 6 x y 1 x 0 y 0 Q1 x y 0 x Q2 x y 0 y 2 6 9 6 6 6 1 1 NF 6 9 x 96 6 y 1 1 6 9 BA 6 96 1 NF 6 9 1 A 6 9 6 6 9 6 6 A 1 6 9 BA 6 96 1 A A 6 9 6 6 9 6 6 1 41 O 6 96 A 6 6 6 9 6 6 9 6 AA 41 H 6 6 I 6 6 6 6 9 A 6 6 6 9 9 O 6 96 A 6 6 6 9 6 6 9 6 AA 6 6 A 1 C 6 6 6 A 6 6 H 6 6 I 6 6 6 6 9 A 6 6 6 9 9 6 6 A 1 C 6 6 6 A 6 6 6 6 8 9 6 6 1 P 6 6 6 6 8 9 6 6 1 P 6 6 1 x x ct ct ct x 1 x x ct ct ct x 1 2 2 1 v v 6 96 6 1 C 6 A c 6 96 6 1 C 6 A c 9 6 6 6 D9 P 9 6 x t 6 9 6 6 6 D9 P 9 6 x t 6 0 1 2 x t x t 3 4 5 52 2 0 6 7 8 2 2 527 9 2 527 9 2 2 L 12 t 12 c 2 x 3 5 5 8 2 0 2 S dx dtL 6 8 2 0 1 2 0 2 1 2 272 2 6 7 8 2 t2 c 2 x2 x t 0 93 20 5 52 2 L 2 2 7 2 0 1 0 0 1 L 2 2 2 0 1 3 3 20 2 S dx dtL 2 2 7 2 3 4 2 02 A 92 0 0 1 2 3 3 B 1 3 6 0 1 0 5 52 8 2 2 1 2 0 1 3 20 2 2 3 3 In class we showed that for particles in a magnetic field time independent gauge transformations changed the action for motion between fixed points but did so in a manner independent of the path In this problem you should show it is also the case for particles in an electo magnetic field with time dependent gauge transformations The Lagrangian is L 12 x 2 q x t A x t x and the gauge transformation is given by x t A x t A x t A x t x t x y x t t


View Full Document

Access the best Study Guides, Lecture Notes and Practice Exams

Loading Unlocking...
Login

Join to view Homework #2 and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view Homework #2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?