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    The following sections are included:

    • Introduction

    • Variational theory of quantum fluid mixtures

      • Exact Euler equation for the pair–distribution function

        • Fermi–hypernetted–chain equations

        • Single–loop approximation

        • Euler equations in the single–loop approximation

      • Variational energy in the HNC approximation

      • Collective excitations and stability

    • Correlated basis functions

    • Results for dilute 3He-4He mixtures in 2D and 3D

      • Pure liquid 4He: a performance test

      • Single–impurity limit

      • Two–impurity limit

        • Bound states in two–dimensional mixtures

      • Finite–concentration mixtures in 2D

    • Dynamic structure of quantum fluids

      • Equations-of-motion method

        • Least-action principle

      • Continuity equations

      • Feynman approximation

      • CBF approximation

        • Convolution approximation

        • Approximating the two-body continuity equation

        • Solving the one–body equation: dynamic response

      • Beyond the CBF approximation (“full optimization”)

        • Continuity equations revisited

        • Solving the continuity equations in momentum space

      • Results: dynamic structure and related applications

        • Phonon-roton spectrum in liquid 4He

        • Dynamic structure function

        • Transition currents

        • Liquid-solid phase transition

    • Summary

    • Acknowledgments

    • References