Excitations in a Bose-condensed Liquid by Allan Griffin

By Allan Griffin

This quantity offers an up to date, systematic account of the microscopic concept of Bose-condensed fluids constructed because the past due Fifties. The center of the current publication is the advance of the field-theoretic research had to take care of a Bose-condensed fluid. besides the fact that, the writer additionally brings out the fundamental physics in the back of the formal Green's functionality innovations and provides believable situations to appreciate fresh excessive solution neutron and Raman scattering information. the 1st 3 chapters provide an invaluable review and introductory fabric whereas the concluding bankruptcy provides an evaluate and recommendations for additional examine.

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In addition, S(Q,co) has been studied for pressures up to 25 bar, where liquid 4 He solidifies. While recent data have given a more complete picture with better resolution, the general behaviour of S(Q,a>) was already clear from the extensive data collected at Chalk River in the 1960's (Cowley and Woods, 1971). A later paper by the Chalk River group (Svensson, Martel, Sears and Woods, 1976) also summarizes a wealth of experimental information on S(Q,co) for a wide range of values of Q and T. More recent reviews include Glyde and Svensson (1987), which contains a very complete list of references; and Svensson (1989), with emphasis on S(Q,co) data at higher temperatures.

6 Fig. 10. The measured Compton profile J(Y,Q) vs. 32 K). The results illustrate 7-scaling behaviour [Source: Sosnick, Snow, Silver and Sokol, 1991]. profile of liquid 4 He does exhibit 7-scaling fairly well (see Fig. 10), which is usually viewed as evidence that the IA is valid. However, we remember that Y -scaling will also occur as long as corrections to the IA are only functions of Y. 39) to "extract" accurate results for n(p). 3 High momentum transfer and the impulse approximation 45 initial states.

Since liquid 4 He is a strongly interacting system with all the ensuing complications, London's suggestion that a Bose condensate is involved in the superfluid transition was hard to prove or disprove theoretically (see, however, Feynman, 1953a). 2. 1 Bose broken symmetry in a liquid A formal definition of Bose condensation in an interacting Bose fluid was first provided by Penrose and Onsager (1956), developing earlier work by Penrose (1951). They generalized the criterion for Bose condensation in a gas used earlier by Bogoliubov (1947) to the condition that the oneparticle reduced density matrix in a liquid (or equivalently, the equal-time single-particle Green's function) pi(r,r') = p\(r — r') = (\p+(r)ip(rf)) does not vanish at large separation |r — r'|.

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