Recent content by Sagreda

  1. S

    How can we accurately compute the matrix exponential?

    By its power series: \exp(-iaL)=\sum_{n=0}^{\infty}\frac{(-ia)^nL^n}{n!}
  2. S

    How to Prove the Magnetic Induction B from Vector Potential A Elegantly?

    I'm having a hard time proving that if A=k \frac{m\times r}{(r\cdot r)^{3/2}} (the vectorpotential of a magnetic dipole with moment m), then: B=\nabla\times A=k\frac{3e_r(e_r\cdot m) -m}{(r\cdot r)^{3/2}} without writing the whole thing in components, which becomes long, messy and ugly...
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