SWhat changed
Lee, Huang and Yang used a pseudopotential calculation to connect the wave functions, excitations, condensate depletion and pair correlations of a dilute hard-sphere Bose gas. The 1957 paper recovers the beyond-mean-field energy correction, explicitly crediting its earlier Lee–Yang derivation, and calculates low-lying collective excitations at the stated order. Its value is the linked microscopic calculation, not a claim that every density regime of liquid helium has been solved.
Scientific scope
Lee, Huang and Yang used a pseudopotential calculation to connect the wave functions, excitations, condensate depletion and pair correlations of a dilute hard-sphere Bose gas. The 1957 paper recovers the beyond-mean-field energy correction, explicitly crediting its earlier Lee–Yang derivation, and calculates low-lying collective excitations at the stated order. Its value is the linked microscopic calculation, not a claim that every density regime of liquid helium has been solved. A dilute-gas, low-temperature physical expansion for the hard-sphere model, not a rigorous all-density many-body theorem or a quantitative solution of strongly interacting liquid helium. The paper uses hbar=1 and 2 m=1, periodic boundary conditions, and a hard-sphere diameter a that equals the scattering length in this model. Small sqrt(rho a^3) and additionally ka<<1 for the excitation approximation are essential. Higher collisions and systematic higher orders remain difficulties, and convergence of the full expansion is not proved. Its discussion of nonuniform superfluid flow is explicitly suggestive rather than mathematically conclusive; existing two-fluid reasoning and Bogoliubov/Bijl/Feynman results remain inherited. The printed Eq. (52) has an inverse-square-root factor inconsistent with Eq. (31) and Eqs. (50)–(51); the excitation claim follows Eq. (31). This textual discrepancy is not silently turned into a verified published erratum.
Evidence
The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. A dilute-gas, low-temperature physical expansion for the hard-sphere model, not a rigorous all-density many-body theorem or a quantitative solution of strongly interacting liquid helium. The paper uses hbar=1 and 2 m=1, periodic boundary conditions, and a hard-sphere diameter a that equals the scattering length in this model. Small sqrt(rho a^3) and additionally ka<<1 for the excitation approximation are essential. Higher collisions and systematic higher orders remain difficulties, and convergence of the full expansion is not proved. Its discussion of nonuniform superfluid flow is explicitly suggestive rather than mathematically conclusive; existing two-fluid reasoning and Bogoliubov/Bijl/Feynman results remain inherited. The printed Eq. (52) has an inverse-square-root factor inconsistent with Eq. (31) and Eqs. (50)–(51); the excitation claim follows Eq. (31). This textual discrepancy is not silently turned into a verified published erratum.
Contributors
- The named authors in the research record · SCIENCE: Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.
Provisional WRS assessment, edition 2026-10-23.4. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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