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Method of steepest descent for a quartic oscillator

  1. Nov 4, 2015 #1
  2. jcsd
  3. Nov 9, 2015 #2


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    in i and ii you have obtained a saddle point, but the directions in which the saddle will fall off (= steepest decent) will be different for the two cases lambda<0 and lambda >0. I.e. ##F(z)\approx F(z_0)+F''(z_0)(z-z_0)^2/2##. If ##F''(z_0)<0##, then the path of steepest descents will be for real z-z_0.
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