The boundary value problem in fermion systems

Journal Article · Thu Jun 01 00:00:00 EDT 1989 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01041082· OSTI ID:5589939

Seibold, H; Toepffer, C ^[1]

---

1. Universitaet Erlangen-Nuernberg (West Germany)

The half-space boundary value problem for fermions near zero temperature in plane geometry is solved for diffuse boundary scattering by numerically constructing the spatial propagator in terms of the eigenfunctions of a generalized eigenvalue problem for the linearized Uehling-Uhlenbeck collision integral. The slip length is calculated for several interparticle scattering laws and compared with a relaxation time ansatz result and the experimental values for normal fluid {sup 3}He. It is shown that the nonsingular part of the collision operator is relatively compact to the singular part.

• OSTI ID: 5589939
• Journal Information: Journal of Statistical Physics; (USA), Journal Name: Journal of Statistical Physics; (USA) Vol. 55:5-6; ISSN 0022-4715; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

640460 -- Fluid Physics-- Other Quantum Fluids
656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
BASIC INTERACTIONS
BOUNDARY-VALUE PROBLEMS
COLLISION INTEGRALS
DIFFUSION
EFFECTIVE MASS
EIGENFUNCTIONS
EIGENVALUES
EVEN-ODD NUCLEI
FERMI GAS
FERMI INTERACTIONS
FERMIONS
FLOW MODELS
FLOW RATE
FLUID FLOW
FLUIDS
FOURIER TRANSFORMATION
FUNCTIONS
GAS FLOW
GASES
HELIUM 3
HELIUM ISOTOPES
INTEGRAL TRANSFORMATIONS
INTEGRALS
INTERACTIONS
ISOTOPES
LIGHT NUCLEI
MASS
MATHEMATICAL MODELS
NUCLEI
PARTICLE MODELS
PARTICLE PROPERTIES
PROPAGATOR
QUASI PARTICLES
RELAXATION TIME
SCATTERING
SHEAR
SLIP FLOW
SPIN
STABLE ISOTOPES
TRANSFORMATIONS
TRANSPORT THEORY
WEAK INTERACTIONS