CHEMICAL POTENTIAL AND LOW-LYING EXCITATION IN THE MANY-BODY BOSE SYSTEM

Journal Article · Thu Aug 01 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.131.1379· OSTI ID:4679909

Sawada, K; Bruch, L W

For a Bose system interacting through a two-body potential there is a large occupation number in the zeromomentum state with small fluctuations. Thus, one can express the chemical potential and low-lying excitation energy in terms of the density fluctuation only. The formulas derived are shown to coincide with well-established resuits in the low-density Bose gas. The use of experimental neutron scattering data is suggested to improve the numerical answer. A particular application is made to the He/sup 4/ case. If one utilizes the Feynman variational excited state as the (approximate) true state vector, which is correct experimentally for low-momentum excitations, an explicit phonon excitation for actual He/sup 4/ is found. (auth)

• Research Organization: Univ. of California, San Diego
• NSA Number: NSA-17-031198
• OSTI ID: 4679909
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 131; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOSONS
DENSITY
ELECTRIC POTENTIAL
ENERGY
ENERGY LEVELS
EXCITATION
HELIUM 4
INTERACTIONS
MANY BODY PROBLEM
MOMENTUM
NEUTRONS
NUMERICALS
PHONONS
PHYSICS
SCATTERING
SOUND
VARIATIONS