Accession Number:

AD0258210

Title:

THE GROUND STATE OF SOLID HE3

Descriptive Note:

Corporate Author:

STANFORD UNIV CALIF

Personal Author(s):

• SAUNDERS,EDWARD M.

Report Date:

1961-05-01

Pagination or Media Count:

1.0

Abstract:

A ground-state wave function for solid He3 in the body centered cubic phase is calculated in the form of a product of single-particle orbitals and pair correlations. The correlation part is an eigenfunction of the Pluvinage Hamiltonian with each pair in a state of zero energy in a frame in which their center of mass is at rest. Assuming that exchange effects are small, we obtain an approximate single-particle probability function from this wave function. The many-body energy is obtained from this single-particle probability function from basic principles by a plausibility argument, and leads to a pressurevolume relation that is in good agreement with observation. Exchange effects arise from the original wave function, when suitably antisymmetrized. This predicts an exchange energy of about 0.005 K near the melting curve, in agreement with a recent experiment of Adams, Meyer, and Fairbank this exchange energy favors antiferromagnetic alignment. Author

Descriptors:

• *NUCLEAR ENERGY LEVELS
• *QUANTUM THEORY
• *TRITIUM
• HELIUM
• ISOTOPES
• MATHEMATICAL ANALYSIS
• QUANTUM STATISTICS
• SOLID STATE PHYSICS
• SOLIDS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE