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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 109 (1997), S. 287-308 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We report high precision inelastic neutron scattering measurements in liquid Neon at a temperature of 25.8 K and saturated vapour pressure. The data covers a wide range of energy and momentum transfer (2 Å−1⩽Q⩽13Å−1 The atomic momentum distribution,n(p), and final state effects (FSE) can be readily extracted from this intermediate wavevector transfer data provided a suitable method of analysis is used. We find that the momentum distribution in liquid Neon is marginally sharper than a Gaussian and that final state effects contribute predominantly an antisymmetric component to the the dynamic structure factor. The width ofn(p) and the kinetic energy are increased by 37% above the classical values due to quantum effects. The experimental results are in agreement with theoretical values obtained by a Path Integral Monte Carlo simulation.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 112 (1998), S. 251-264 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The dynamic structure factor S(q, ω) for a model of superfluid 4 He in disorder is evaluated using Path Integral Monte Carlo and Maximum Entropy methods. Disorder is represented by randomly distributed static impurities interacting with the 4 He atoms via a simple attractive potential. The potential is parametrized to yield different values of the variance and correlation length of the resulting disordering environment. New weight in S(q, ω) at low ω (i.e., low energy excitations) is induced by disorder, as predicted in some previous calculations, and S(q, ω) is broadened. Assuming that S(q, ω) in disorder is dominated by a single peak, just as in the pure superfluid, the data suggest that the peak position is shifted by the disorder from the bulk value with a unique q dependence. The static structure factor S(q) is reduced at all wave vectors with increased impurity concentration.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 3 (1970), S. 559-561 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 109 (1997), S. 287-308 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We report high precision inelastic neutron scattering measurements in liquid Neon at a temperature of 25.8 K and saturated vapour pressure. The data covers a wide range of energy and momentum transfer (2 Å−1 ⩽ Q ⩽ 13 Å−1). The atomic momentum distribution, n(p), and final state effects (FSE) can be readily extracted from this intermediate wavevector transfer data provided a suitable method of analysis is used. We find that the momentum distribution in liquid Neon is marginally sharper than a Gaussian and that final state effects contribute predominantly an antisymmetric component to the the dynamic structure factor. The width of n(p) and the kinetic energy are increased by 37% above the classical values due to quantum effects. The experimental results are in agreement with theoretical values obtained by a Path Integral Monte Carlo simulation.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 117 (1999), S. 113-125 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The dynamic structure factor, S(Q, ω), for wavevectors, 2.0≤Q≤3.6 Å −1 of liquid 4 He in 95% porous aerogel has been measured by inelastic neutron scattering methods. The aerogel was grown with deuterated materials and the multiple scattering involving the aerogel was negligible. S(Q, ω) in the superfluid phase consists of a single peak plus broad intensity at higher energy ω, as in bulk superfluid 4 He. The single peak is identified with the phonon-roton excitation at higher Q. The weight in the peak, ZQ , and the excitation energy dispersion curve, ω Q , has the same basic wavevector dependence as in the bulk. The energy ω Q is 2–3% below the bulk value at the end point and the peak is unobservable beyond Q=3 Å −1 within the present statistical precision. No peak is observed at T=2.3 K in normal 4 He suggesting, as in bulk 4 He, that the characteristic excitation at higher Q is associated with the superfluid phase.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 25 (1976), S. 601-617 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The phonon spectrum in a quantum crystal, where short-range correlations are important, is obtained by adapting the general relations between the one-phonon response and the thermodynamic properties of an anharmonic crystal proposed by Götze. Specifically, the one-phonon self-energy is obtained by requiring that the elastic constants obtained by the method of long waves equal those obtained as the strain derivatives of the ground-state energy. In practice this means that the atomic force constants can be obtained by formal differentiation of the ground-state energy. We explore the effects of this conserving approximation for theT-matrix and Jastrow methods and implement it numerically for bcc helium.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 73 (1988), S. 33-51 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Measurements of the inelastic neutron scattering from liquid4He atT=1.2 K in the range of wavevector transfer 3≤Q≤12 Å−1 have been performed to verify the oscillations in the peak position and the width of the scattering function withQ observed by Cowley and Woods and by Martelet al. We confirm these oscillations and extend the measurements to show that the oscillations in the width continue up toQ≈12 Å−1 while oscillations in the peak position, which have a much smaller amplitude, could be observed with confidence up toQ≈8 Å−1 only. We also present a straightforward RPA calculation of the dynamic form factorS(Q, ω), beginning from the pair interatomic potential, to see how well the observedS(Q, ω) can be described and to investigate the origin of the oscillations. The observedS(Q, ω) is quite well reproduced and the oscillations in the width and peak position ofS(Q, ω) are seen to originate from oscillations in the interaction in the RPA which we have approximated as the4He-4He scattering amplitude calculated fromv(r). While the present calculation is quite different from the model proposed previously by Martelet al., the physical origin of the oscillations inS(Q, ω) is the same, namely oscillations in the4He-4He atom scattering amplitude.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 62 (1986), S. 489-496 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The momentum distributionn(p) of atoms in condensed matter may be determined from neutron inelastic scattering measurements. However, scattering at high momentum transfers ħQ (high enough that the impulse approximation holds) is required. A model of solid helium is used to assess the error introduced inn(p) by assuming the impulse approximation holds at severalQ values. AtQ=20 Å−1 the error inn(p) is ≈5–10%. This error can be reduced by a factor of ten using a symmetrization procedure.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of low temperature physics 87 (1992), S. 407-423 
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: In this lecture the study of excitations in quantum fluids and solids using neutrons is briefly introduced. The remainder focuses on liquid 4 He, giving a brief historical sketch of ideas on phonons and rotons, a survey of some recent neutron scattering data particularly on the temperature dependence of S(Q, Ω) and a new interpretation of phonons and rotons in superfluid 4He.
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  • 10
    Publication Date: 2000-03-20
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
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