English-German translations for pauli matrix

Definition of pauli matrix

Examples

  • The Pauli matrices satisfy the equation \sigma_1^2 = \sigma_2^2 = \sigma_3^2 = -i\sigma_1 \sigma_2 \sigma_3 = I which is reminiscent of Hamiltons fundamental formula for quaternion multiplication.
  • The first Pauli matrix is like a reflection about the "y=x" line. The third Pauli matrix is like a reflection about the "x axis". The second Pauli matrix is like a 90° counterclockwise rotation and scalar multiplication by the imaginary unit (which rotates the two complex components by 90° counterclockwise in their own "phasor spaces", as it were).

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