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- W2058388675 abstract "Penrose gives an explicit formula for the density matrix of liquid 4He under equilibrium conditions in the temperature range T < 0.5 °K. The derivation uses small density fluctuations in an ideal fluid as a model for the elementary excitations in the actual many particle system. The range of validity can be extended to higher temperatures by (a) observing that the paired phonon analysis yields essentially identical basis functions, and (b) introducing a unitary transformation to substitute the paired phonon basis functions for the exact eigenfunctions in the general formula for the density matrix while retaining as a good approximation the exact dispersion relation ϵ(k) for the energy of an elementary excitation. Some general consequences of the formalism are developed in the notation appropriate to the extended range of validity." @default.
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- W2058388675 date "1972-03-01" @default.
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- W2058388675 title "Density matrix of liquid 4He at low temperatures" @default.
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- W2058388675 doi "https://doi.org/10.1016/0003-4916(72)90332-6" @default.
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