Search results for query: *

  1. arpon

    I Transformation of Lagrangian

    Consider a Lagrangian: \begin{equation} \mathcal{L} = \mathcal{L}(q_1\, \dots\, q_n, \dot{q}_1\, \dots\, \dot{q}_n,t) \end{equation} From this Lagrangian, we get a set of ##n## equations: \begin{equation} \frac{d}{dt}\frac{\partial \mathcal{L}}{\partial \dot{q}_i} - \frac{\partial...
  2. arpon

    I Why Must ##\mu_1, \mu_2## = ##\mu_1^*, \mu_2^*##? Parametric Resonance

    Thanks for your help. But still could not get it.
  3. arpon

    I Why Must ##\mu_1, \mu_2## = ##\mu_1^*, \mu_2^*##? Parametric Resonance

    Why ##\mu_1, \mu_2## must be the same as ##\mu_1^*, \mu_2^*## ? What I thought is : If ##\mu_1\mu_2 = \mu_1^*\mu_2^*## and ##\mu_1+\mu_2 = \mu_1^*+\mu_2^*##, then ##\mu_1, \mu_2## are the same as ##\mu_1^*, \mu_2^*## It can be shown by taking the complex conjugate of (27.5) that $$\mu_1\mu_2 =...
Back
Top