Equivalent Hamiltonian of an Electron Gas at High Density

The effect of high-energy electron beam on drawn and undrawn high density polyethylene fibers

HDPE monofilaments were obtained using different extruders and drawn by post-extruder equipments. After solidification, drawn and undrawn monofilaments (draw ratio 7:1) were irradiated with 10 MeV electron beams in air at room temperature at 25, 50, 75, 100 and 125 kGy dose ranges to induce a network structure. HDPE crosslinking was studied on the basis of gel content measurements. The fibers w...

Electron-electron interaction and tunnel density of states at the Fermi level in high-density two- dimensional electron system

The zero bias anomaly (ZBA) of the tunnel conductivity are investigated in the Al/δ−GaAs tunnel structure with 2D electron concentration in δ-layer to be equal to 3.6∗10 cm−2. We find that the dip (ZBA) in the tunnel density of states near the Fermi level EF reveals logarithmic dependence on the energy ε in the range kT < ε< h̄/τ . Here ε is the energy relative to EF and τ is the elastic relaxat...

Absence of certain exchange driven instabilities of an electron gas at high densities

Equivalent Hamiltonian for Lee Model

Using the techniques of quasi-Hermitian quantum mechanics and quantum field theory we use a similarity transformation to construct an equivalent Hermitian Hamiltonian for the Lee model. In the field theory confined to the V/Nθ sector it effectively decouples V , replacing the three-point interaction of the original Lee model by an additional mass term for the V particle and a four-point interac...

An Equivalent Hermitian Hamiltonian for the non-Hermitian −x4 Potential

The potential V (x) = −x4, which is unbounded below on the real line, can give rise to a well-posed bound state problem when x is taken on a contour in the lower-half complex plane. It is then PT symmetric rather than Hermitian. Nonetheless it has been shown numerically to have a real spectrum, and a proof of reality, involving the correspondence between ordinary differential equations and inte...