Time-dependent many-body theory extended to impurities in ^4He yields chemical potentials, effective masses matching experiment for ^3He and hydrogen, and dispersion relations passing below the roton minimum.
Feenberg ,\ @noop title Theory of Q uantum Fluids \ ( publisher Academic Press ,\ address New York ,\ year 1969 ) NoStop
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Dynamic Many-Body Theory: The dynamics of atomic impurities in $^4$He
Time-dependent many-body theory extended to impurities in ^4He yields chemical potentials, effective masses matching experiment for ^3He and hydrogen, and dispersion relations passing below the roton minimum.