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Lee–Huang–Yang: dilute hard-sphere Bose energy, excitations and correlations

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.

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What is recorded here?

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.

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Scientific scope

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.

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People and systems

T. D. Lee; Kerson Huang; C. N. Yang

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.

Research locations and affiliations

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Documented countries / regions: United States

T. D. Lee: Columbia University, New York; Kerson Huang and C. N. Yang: Institute for Advanced Study, Princeton, New Jersey, on the original first page. Publication-location association only; no nationality or effort-share inference.

English catalogue narrative

Lee–Huang–Yang: dilute hard-sphere Bose energy, excitations and correlations

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

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.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

T. D. Lee; Kerson Huang; C. N. Yang

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.

Original sources