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Proving Vector Identity Using Levi-Civita Symbol

Tuesday, June 28th, 2011

Roel N. Baybayon MSPhysics1 ————————————————————————————————– We are going to prove the following vector identity using Levi-Civita symbol: Solution: Let    ,     ,   ,   . Then, By definition: We have to let m=n so that, Levi-Civita symbol can be expressed in terms of Kronecker delta given by: Thus,    

Posted in Electrodynamics, Quantum Science Philippines | 1 Comment »


Proving Vector Formula with Kronecker Delta Function and Levi-Civita Symbol

Tuesday, June 28th, 2011

Applying and in Proving the Vector Formula:  By: Quennie J. Paylaga   Prove: using Kronecker Delta Function and Levi-Civita Symbol.     To prove this, we let We can write the expression for in summation form as:      where where i, j, l are dummy summation variables. Each of which can be any letter […]

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Verifying a Vector Identity (BAC-CAB) using Levi-Civita

Monday, June 27th, 2011

Author: CHRISTINE ADELLE L. RICO Here is another method of verifying a vector formula using the Levi-Civita symbol. Levi-Civita symbol is a tensor of rank three and is defined by +1 if the indices are in even permutation of , -1 if the indices are in odd permutation, and 0 if any two indices are […]

Posted in Electrodynamics | 1 Comment »