Journal of Physical Studies 3(3), 331–336 (1999) DOI: https://doi.org/10.30970/jps.03.331 EQUATIONS OF MOTION FOR FIELD OPERATORS AND ENERGY SPECTRUM FOR SUPERFLUID ANISOTROPIC FERMI SYSTEMS (‟P” PAIRING)

Z. M. Galasiewicz
Wroc\law University of Technology, Institute of Physics,
Wybrzeże Wyspiańskiego 27, 50-370 Wroc\law, Poland

The investigation has been based on Hamiltonian quadratic in Fermi amplitudes or linear in operators representing amplitude and phase of condensate of pair (parallel spins). The latter represents the energy of a ‟spin" $1/2\hat{{\bf L}}$ in some effective field. Simple variational procedure gives for anisotropic ABM and ‟polar" phases single particle energy ${\bf Ω}$ with a suitable form of energy gap. Amplitude and phase oscillations are connected with frequencies ${\bbox ω}=0,\pm 2{\bbox Ω}$. The first one represents Goldstone–Anderson mode. ‟Spins" dependence on time $(\hat{{\bf L}}^{(i)}(t)=R_{ij}(t)\hat{{\bf L}}^{(j)}(0))$ is given by rotation matrix $R_{ij}(t)$ used in He$^{3}$–B theory. Here $R_{ij}$ describes rotation of a ‟spin" around the effective field.

ps pdf