Abstract
The orbital dynamics of the Anderson-Brinkman-Morel (ABM) phase of helium 3 is studied in both the hydrodynamic and collisionless limits. The complete equations for the orbital motion in the hydrodynamic limit are written down and the important parameters are evaluated by simple arguments. In the collisionless limit the matrix kinetic equation, not including the dipole interaction or Fermi liquid corrections, is inverted exactly to give a form that explicitly displays the various collective modes possible. The existence of an intrinsic orbital angular momentum density of order θ s ħ(T c/E F) 2 and the “moment of intertia” term suggested by Leggett and Takagi is confirmed, and a physical understanding of their origin is given. However, in both collisionless and hydrodynamic limits the interaction with the normal fluid dominates the motion except very near zero temperature.
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