Binäre SLATER‐Summen und Verteilungsfunktionen für quantenstatistische Systeme mit COULOMB‐Wechselwirkung. I

Rohde, K.; Kelbg, G.; Ébeling, W.

doi:10.1002/andp.19684760503

Cited by 17 publications

(6 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Different pseudopotentials (effective pair potential) are used to simulate equilibrium [21][22][23][24][25][26][27][28] and non-equilibrium [32][33][34][35][36][37][38] SCPs. Pseudopotentials [1,7,8,19,[39][40][41][42][43][44][45][46][47][48][49][50][51][52] are derived for a thermodynamically equilibrium case with a fixed temperature from the expression where one equates the classical Boltzmann probability for an unknown effective pair potential with the known exact temperature-dependent quantum probability (Slater sum) for the two-body system. The procedure gives a physical argument of both the length scale for the smooth truncation of the Coulomb potential and the value of the temperature-dependent short-range non-Coulomb part of the pseudopotentials.…”

Section: Simulation Approachmentioning

confidence: 99%

Crossover from bound to free states in plasmas

Lankin

Norman

2009

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

A self-consistent joint description of free and weakly bound electron states in strongly coupled plasmas is presented. The existence of two problems is emphasized. The first one is a well-known restriction of the number of atomic excited states. Another one is a description of the smooth crossover from bound pair electron-ion excited states to collective excitations of free electrons. The fluctuation approach is developed to study the spectrum domain intermediate between low-lying excited atoms and free electron continuous energy levels. The molecular dynamics method is applied to study the plasma model since the method is able to distinguish all kinds of fluctuations. The electronion interaction is described by the temperature-independent cutoff Coulomb potential. The diagnostics of pair electron-ion fluctuations is developed. The concept of pair fluctuations elucidates the smooth vanishing of atomic states near the ionization limit. The approach suggested removes the artificial break of the electron state density at the ionization limit: atomic state density divergent at the negative energy side and free electron state density starting from zero density at the positive energy side.

show abstract

Section: Simulation Approachmentioning

confidence: 99%

Crossover from bound to free states in plasmas

Lankin

Norman

2009

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…In the next Hartree-Fock approximation we obtain the wellknown convergent result [11,13,14] for the electron-electron exchange interaction (see below). Next-order terms in the interaction potential called ring diagrams [15] correspond to the Debye-Hückel contribution (see, for example, [5,6,12,[16][17][18][19]…”

Section: Thermodynamic Perturbation Theorymentioning

confidence: 99%

“…where q, q are relative motion momenta before and after scattering, P = p + k = (hP,hP 4 ) is the 4-vector for total momentum and µ = µ ep is the reduced mass. From (17) and (18) we obtain δ in the form, using the electrical neutrality condition in terms of activities (6),…”

Section: Ladder Approximation For Svc Calculationmentioning

confidence: 99%

See 1 more Smart Citation

Bound states in nonideal plasmas: formulation of the partition function and application to the solar interior

Старостин¹,

Roerich²

2006

Plasma Sources Sci. Technol.

View full text Add to dashboard Cite

A detailed independent derivation of the hydrogen weakly nonideal plasma equation of state (EOS) is presented. In our computations relativistic corrections, degeneracy of electrons, radiation pressure in the plasma, Coulomb interaction in the Debye-Hückel approximation together with diffraction and exchange corrections and the contribution of bound and scattering states (SS) are taken into account. In contrast to the Planck-Larkin partition function, a correct separate account of bound and SS allows a natural generalization for the broadening of atomic states. The essential part of the EOS and adiabatic exponent is connected with the correct account of bound states. In our paper we compare the results of different approaches with the bound states description and for the first time consider the influence of atomic states broadening on the bound states contribution.

show abstract

“…Here the parameter S (f) denotes the binary Slater sum of the electron and positron at zero distance including also symmetric effects coming from the different spin directions, i.e., the Pauli effect. The height of the Kelbg potential at zero-point distance is related to In S(£) [16] and is not infinite but a finite due to the quantum mechanical effect of diffraction, i.e., the Heisenberg effect. The corrected Kelbg potential has the correct value of the height due to the method of Slater sums.…”

mentioning

confidence: 99%

Quantum Effect on Collisions in Electron-positron Plasmas

Jung

2001

Zeitschrift Für Naturforschung A

View full text Add to dashboard Cite

Quantum effects on the electron-positron scattering are investigated in electron-positron plasmas. The corrected Kelbg potential, taking into account the quantum effects, is applied to describe the electron-positron interaction potential in electron-positron plasmas. The Bom approximation is considered to obtain high-energy electron-positron scattering cross sections. The results show that the differential electron-positron scattering cross sections increase with increasing thermal de Broglie wavelength, i.e., decreasing plasma temperature. The differential electron-positron scattering cross sections decreases with increasing collision energy. It is also found that the quantum effects on the differential scattering cross section are small for forward and backward scattering angles.Key words: Electron-positron Plasmas; Electron-positron Collisions.Atomic collision processes [1 -4] in plasmas have been of great interests since these processes can be used for plasma diagnostics. Collision processes in volving positrons and electrons have received much attention since these processes have many applica tions in atomic, plasma physics, and astrophysics [5,6 ]. Electron-positron collisions can also contribute to the collective effects for the bremsstrahlung in the case of electron-positron collisions. Such mass-sym metrical plasma systems may be observed in lab oratory [7,8 ] and astrophysical [5,6 ] plasmas. In weakly coupled plasmas, the collision processes have been investigated using the Debye-Hückel potential with various methods depending on the collision sys tems [9, 10]. The plasmas described by the DebyeHiickel model are called ideal plasmas since the av erage energy of interaction between particles is small compared to the average kinetic energy of the par ticles [11]. However, in the region of partial degen eration and strong coupling, the interaction potential differs from a pure Coulomb or screened Coulomb potential because of the strong coupling and quantum effects of nonideal particle interaction. In the present paper we investigate quantum effects on high-energy electron-positron collisions in a mass-symmetrical pair plasma. An effective potential model called the corrected Kelbg potential [12], including the classi cal effect as well as the quantum-mechanical effect such as the Heisenberg principle and the Pauli ex clusion principle is applied to describe the interaction potential in electron-positron plasmas. The first-order Bom approximation is applied to obtain the differen tial scattering cross section as a function of the thermal de Broglie wavelength, scattering angle, and collision energy.For a potential scattering, the differential scattering cross section der [ 1 1 ] is defined bŷwhere dJ? is the differential solid angle and /( J ? ) is the scattering amplitude. The Bom approxima tion is known to be very reliable to describe ini tial and final states of the collision system for highenergy collisions, i.e., E » Ry where E(= p v 2/2) is the collisions energy, p the reduced mass of the collision...

show abstract

Binäre SLATER‐Summen und Verteilungsfunktionen für quantenstatistische Systeme mit COULOMB‐Wechselwirkung. I

Cited by 17 publications

References 11 publications

Crossover from bound to free states in plasmas

Crossover from bound to free states in plasmas

Bound states in nonideal plasmas: formulation of the partition function and application to the solar interior

Quantum Effect on Collisions in Electron-positron Plasmas

Contact Info

Product

Resources

About