Common integrals in quantum field theory: Difference between revisions

Revision as of 10:36, 31 March 2016

Revision as of 16:42, 18 April 2016

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:<math>( a - \lambda)( b-\lambda) -c^2 = 0 </math>

:<math>\lambda^2 - \lambda(a+b) + ab -c^2 = 0 </math>

which are found using the [[quadratic equation]]:

which are

:<math> \lambda_{\pm} = {1\over 2} ( a+b) \pm {1\over 2}\sqrt{(a+b)^2-4(ab - c^2)}. </math>

:<math> \lambda_{\pm} = {1\over 2} ( a+b) \pm {1\over 2}\sqrt{(a^2 +2ab + b)^2 -4ab + 4c^2}. </math>

:<math> \lambda_{\pm} = {1\over 2} ( a+b) \pm {1\over 2}\sqrt{(a-b)^2+4c^2}. </math>

=====Eigenvectors of ''A''=====