Excitations in a Bose-condensed Liquid by Allan Griffin
By Allan Griffin
This quantity supplies an updated, systematic account of the microscopic concept of Bose-condensed fluids constructed because the overdue Nineteen Fifties. The middle of the current publication is the advance of the field-theoretic research had to take care of a Bose-condensed fluid. although, the writer additionally brings out the fundamental physics in the back of the formal Green's functionality concepts and offers believable eventualities to appreciate fresh excessive solution neutron and Raman scattering facts. the 1st 3 chapters provide an invaluable evaluate and introductory fabric whereas the concluding bankruptcy provides an evaluate and proposals for extra study.
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Additional resources for Excitations in a Bose-condensed Liquid
Most of the early studies of S(Q,co) in superfluid 4 He were at low temperatures (T ~ 1 K). 1, S(Q,&>) exhibits an additional structure at frequencies well above COQ, with a broad maximum at an energy ~ 25 K (see Figs. 5). This broad peak is referred to as a "multiparticle branch" since it is thought to involve the creation of two (or more) quasiparticles. 8 A" 1 , S(Q,co) also exhibits a high-frequency tail extending to very high energies (> 70 K). The general features of this additional scattering are shown in Fig.
This broad peak is referred to as a "multiparticle branch" since it is thought to involve the creation of two (or more) quasiparticles. 8 A" 1 , S(Q,co) also exhibits a high-frequency tail extending to very high energies (> 70 K). The general features of this additional scattering are shown in Fig. 6. It is customary to take S(Q,co) as the sum of a quasiparticle part Si and a multiparticle part Sn, S(Q,G>) = SI(Q,G>) + Sn(Q,G>) . 33) The existence of these two distinct contributions was first discussed (at T = 0) by Miller, Pines and Nozieres (1962) in a landmark paper.
Related to this, we give a detailed analysis of the neutron-scattering data as a function of the temperature. This is in contrast to most of the theoretical literature on superfluid 4 He, which has concentrated on either the low-temperature region (< 1 K) or the extreme critical region (within a few mK of the superfluid transition). Using the renormalization group formalism and the concept of universality classes, the static and dynamic behaviour of superfluid 4 He near Tx appears to be very well understood in terms of a fluid with a two- 22 Theory of excitations in superfluid 4He: an introduction component order parameter.