ELECTROSTATIC INTERACTIONS IN AN ELECTRONION GAS AT HIGH DENSITY

Journal Article · Sun Mar 01 04:00:00 EST 1959 · Progr. Theoret. Phys. (Kyoto)

DOI:https://doi.org/10.1143/PTP.21.389· OSTI ID:4209896

Nishiyama, T

Consideration is given to the influence of the Coulomb interaction of electrons upon the electron-ion interaction and the ionic oscillation of an electron-ion gas at high density by utilizing a method of normal modes on the one hand and a collective description on the other hand. Following these methods, the so-called Froelich Hamiltonian is derived for the electron-phonon interaction by eliminating the electronic plasmon from the total Hamiltonian completely. As the interactions between electron pairs with opposite momenta and with different spins which are essential to the superconductivity are discarded in the method of normal modes, the results obtained are considered as valid only for the normal state. These important interactions of electron pairs can be taken into account in the collective description, by means of which the electron-phonon Hamiltonian with the screened interaction of electrons is obtained. A dispersion equation for the system under consideration is obtained by the sound approximation proposed in a previous paper, which proves to be equivalent to Sawada's palr theory ior small momentum transfers. The dispersion equation obtained exhibits a metastable'' stute corresponding to the phonon excitation. The eigenfrequency and the decay time are estimated for a certain region of wave numbers. By the perturbation expansion of the density matrix in the sound approximation a relationship between the correlation energy and the dispersion equation is pointed out and the role of the Couiomb interaction of electrons is illustrated graphically. (auth)

• Research Organization: Osaka Univ.
• Sponsoring Organization: USDOE
• NSA Number: NSA-13-021380
• OSTI ID: 4209896
• Journal Information: Progr. Theoret. Phys. (Kyoto), Journal Name: Progr. Theoret. Phys. (Kyoto) Vol. Vol: 21
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DECAY
DENSITY
DIAGRAMS
DIFFERENTIAL EQUATIONS
DISPERSION THEORY
ELECTRIC FIELDS
ELECTRONS
ENERGY LEVELS
EXCITATION
FREQUENCY
HALF-LIFE
HAMILTONIAN
INTERACTIONS
IONS
MATRICES
METASTABLE STATES
MOMENTUM
NUMERICALS
OSCILLATIONS
PERTURBATION THEORY
PHONONS
PHYSICS AND MATHEMATICS
PLASMA
REACTION KINETICS
SAWADA METHOD
SOUND
SPIN
SUPERCONDUCTIVITY