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Unformatted text preview: x L described by the action S = Z d t Z L d x 1 2 ( )( )-m 2 2 2- 3 3- 4 4 + Z d t M 2 [ ( t,L )] 2 , where m , , , and M are constants. By demanding that S = 0 for an arbitrary variation ( t,x ) (with the only restriction being ( t,x ) 0 for t ), derive (a) the boundary condition for at each boundary x = 0 and L , (b) the equation of motion for in the bulk 0 < x < L , and (c) general solutions of the equation of motion satisfying the boundary conditions, assum-ing m = = = 0 for simplicity but still with M 6 = 0. 1...
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- Fall '10