Part I: Microscopic description of liquid He II. Part II: Uniformly approximated WKB method as used for the calculation of phase shifts in heavy-ion collision problems
In Part I, the excitation spectrum of liquid He II is obtained using the two-body potential consists of a hardcore potential plus an outside attractive potential. The sum of two gaussian potential of Khanna and Das which is similar to the Lennard-Jones potential is chosen as the attractive potential. The t-matrix method due to Brueckner and Sawada is adopted with modifications to replace the interaction potential. The spectrum gives the phonon branch and the roton dip which resemble the excitation spectrum for liquid He II. The temperature dependence of the excitation spectrum enters into calculation through the zero-momentum state occupation number. A better approximation of thermodynamic functions is obtained by extending Landau's theory to the situation where the excitation is a function of temperature as well as of momentum. Our thermodynamic calculations also bear qualitative agreement with measurements on He II as expected.
- Research Organization:
- Arizona State Univ., Tempe, AZ (USA)
- OSTI ID:
- 5002260
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
Similar Records
Excitation energy spectrum in helium II
LOW-TEMPERATURE BEHAVIOUR OF A BOSE GAS WITH HARD-SPHERE INTERACTION
Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
HEAVY ION REACTIONS
PHASE SHIFT
HELIUM 2
EXCITED STATES
CALCULATION METHODS
DATA ANALYSIS
LANDAU LIQUID HELIUM THEORY
MATHEMATICAL MODELS
CHARGED-PARTICLE REACTIONS
ENERGY LEVELS
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
NUCLEAR REACTIONS
NUCLEI
653000* - Nuclear Theory
651000 - Nuclear Physics
657000 - Theoretical & Mathematical Physics
640304 - Atomic
Molecular & Chemical Physics- Collision Phenomena