Quantum Statistics and the Many-Body Problem pp 119-125 | Cite as

# Dissipative Processes in the Nuclear Magnetic Resonances of Superfluid Liquid ^{3}He

Chapter

## Abstract

A framework is given for the inclusion of relaxation processes in the theory of NMR in the superfluid phases of liquid 3He, which allows one to compare two recent phenomenological theories. The effects of dissipation on large amplitude longitudinal ringing experiments are discussed.

## Keywords

Nuclear Magnetic Resonance Dissipative Process Spin Angular Momentum Fixed Orientation Equal Time Commutator
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## References

- (1).A. J. Leggett, Ann. Phys. (N.Y.) 85, 11 (1974).ADSCrossRefGoogle Scholar
- (2).R. Combescot and H. Ebisawa, Phys. Rev. Lett. 33, 810 (1974).ADSCrossRefGoogle Scholar
- (3).A. J. Leggett and S. Takagi, to be published.Google Scholar
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- (7).c.f., V. Ambegaokar and L. P. Kadanoff, Nuovo Cimento 22, 914 (1961) for the analogous way of dealing with phase (or density) oscillations in superconductors.MATHCrossRefGoogle Scholar
- (8).A linear calculation suffices because the effective magnetic energy per particle is always much less than the Fermi energy.Google Scholar
- (9).The pairing theory expression for ’is given, with obvious minor differences in notation, in R. Balian and N. R. Werthamer, Phys.Google Scholar
- (1).Rev. 131, 1553 (1963), Eq. (49). Fermi liquid effects may then be approximately included by the procedure described below Eq. (6).Google Scholar
- (10).To be precise, the lifetime introduced in Ref. 2 differs from CE because our quantity contains Fermi liquid corrections. The exact correspondence is CE = (l + faoo1)(l + faoo)-1Google Scholar
- (11).Although Eq. (9) gives precisely the results of Ref. 3 with LT identified with the lifetime introduced there, there is a slight difference in point of view. In Ref. 3 Fermi liquid effects would not be included on the right side of our Eq. (9), but the equation corresponding to our (5) is modified in a compensating way, with the result that our Eq. (5) and (9) are entirely equivalent to, and, because Fermi liquid corrections are tucked out of sight, seem slightly simpler than, Eq. (7) and (8) of Ref. 3.Google Scholar

## Copyright information

© Plenum Press, New York 1975