1, Find the antimetric (antisymmetric) tensor associated with the vector 꼬= (1,2,3).
4. Rank-2 tensors A charge q moves with a constant velocity u ux. Define the antisymmetric tensor r" by r"-1 (ημ2-η"z"), where ημ įs the four velocity of the charge. Further define (a) Show that r-lauP + y2 + z2. -tu (b) Show that the electric field produced by the charge is given by En/c subscript n refers to the s,y or z component of E where the Imc (r2) TC 4. Rank-2 tensors A charge q moves with a...
4. Rank-2 tensors A charge q moves with a constant velocity u - ux. Define the antisymmetric tensor rue by r--(ημχν-ηνΖ), w 4. Rank-2 tensors A charge q moves with a constant velocity u = uˆx. Define the antisymmetric tensor r µν by r µν ≡ 1 c (η µx ν − η νx µ ), where η µ is the four velocity of the charge. Further define r 2 = −r µνrµν/2. (a) Show that r 2 = (x−ut)...
1. Find a vector equation and parametric equations for a line passing through (-1,2,3) in the direction of Ŭ = i + 21 – R.
Verify explicitly that the wave function: is totally antisymmetric. (1,2,3) = X(S1, S2, S3) 11, 12, 13)+X(S2, S3, S1 (12,13, 11)+X53, S1, S2)(13, 11, 12)
3. Find all fixed points for the associated Newton iteration function for F(a) z/ 1) when n-1,2,3... Which are attracting and which are repelling? 3. Find all fixed points for the associated Newton iteration function for F(a) z/ 1) when n-1,2,3... Which are attracting and which are repelling?
4. Rank-2 tensors A charge q moves with a constant velocity tensor rby rHv 2 u. Define the antisymmetric ) where r" is the four velocity of the charge. Further define u (n" =-rH"ru/2. (x-ut)2 1-u2/c2 + y2 + z2 |(a) Show that r2 (b) Show that the electric field produced by the charge is given by En/c subscript n refers to the x,y or z component of E 4TC (r2)3/2 Where the 4. Rank-2 tensors A charge q moves...
4. Rank-2 tensors A charge q moves with a constant velocity tensor rby rHv 2 u. Define the antisymmetric ) where r" is the four velocity of the charge. Further define u (n" =-rH"ru/2. (x-ut)2 1-u2/c2 + y2 + z2 |(a) Show that r2 (b) Show that the electric field produced by the charge is given by En/c subscript n refers to the x,y or z component of E 4TC (r2)3/2 Where the 4. Rank-2 tensors A charge q moves...
4. Rank-2 tensors A charge q moves with a constant velocity tensor rby rHv 2 u. Define the antisymmetric ) where r" is the four velocity of the charge. Further define u (n" =-rH"ru/2. (x-ut)2 1-u2/c2 + y2 + z2 |(a) Show that r2 (b) Show that the electric field produced by the charge is given by En/c subscript n refers to the x,y or z component of E 4TC (r2)3/2 Where the 4. Rank-2 tensors A charge q moves...
4. Rank-2 tensors A charge q moves with a constant velocity tensor rby rHv 2 u. Define the antisymmetric ) where r" is the four velocity of the charge. Further define u (n" =-rH"ru/2. (x-ut)2 1-u2/c2 + y2 + z2 |(a) Show that r2 (b) Show that the electric field produced by the charge is given by En/c subscript n refers to the x,y or z component of E 4TC (r2)3/2 Where the 4. Rank-2 tensors A charge q moves...
4. Rank-2 tensors A charge q moves with a constant velocity tensor rby rHv 2 u. Define the antisymmetric ) where r" is the four velocity of the charge. Further define u (n" =-rH"ru/2. (x-ut)2 1-u2/c2 + y2 + z2 |(a) Show that r2 (b) Show that the electric field produced by the charge is given by En/c subscript n refers to the x,y or z component of E 4TC (r2)3/2 Where the 4. Rank-2 tensors A charge q moves...