Quantum wave-packets simulation of ionization processes in dense plasmas

Ébeling, W.; Förster, A.; Podlipchuk, V. Yu.

doi:10.1016/0375-9601(96)00341-6

Cited by 14 publications

(17 citation statements)

References 13 publications

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“…V C 2, is the study of a plasma under extreme conditions, high temperature or pressure and phase transitions to the liquid and solid phase . Other investigations focus on the degree of ionization of a partially ionised plasma (Ebeling et al, 1996;Ebeling and Militzer, 1997).…”

Section: Product States Of Wave Packets In Atomic Physicsmentioning

confidence: 99%

Molecular dynamics for fermions

2000

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The time-dependent variational principle for many-body trial states is used to discuss the relation between the approaches of different molecular dynamics models to describe indistinguishable fermions. Early attempts to include effects of the Pauli principle by means of nonlocal potentials as well as more recent models which work with antisymmetrized many-body states are reviewed under these premises.

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Section: Product States Of Wave Packets In Atomic Physicsmentioning

confidence: 99%

Molecular dynamics for fermions

2000

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“…form; the exponential form was previously considered by Ebeling, et al [10] to describe the hydrogen ground state exactly 2 . The ground state properties can be found from the expectation value of the Hamiltonians, which yields…”

Section: Hydrogenic Ionsmentioning

confidence: 98%

“…Given a judicious choice for ρ 0 (R), the dynamics are fully described by (2) and (10). In what follows we focus on WDM and compare two choices for the density; ground-state energies are used as a test for accuracy.…”

Section: Self-similar Wavepacket Dynamicsmentioning

confidence: 99%

Self‐similar wavepackets for describing warm dense matter

Murillo

Timmermans

2003

Contrib. Plasma Phys.

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Using the time dependent variational principle, we develop a general formulation of single particle quantum dynamics within the assumption that the wavepacket's density remains self-similar. We obtain the amplitudephase relationship from the continuity equation. We investigate the ground state properties of waves with Gaussian and exponential densities in hydrogenic and helium-like systems. We show that the exponential wavepackets yield superior ground state energies -an important advantage in describing warm dense matter (T < 50 eV) in which bound states form. Exponentials yield an improved ground state energy for molecular hydrogen, but with a bond length 13% short of the experimental value.

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“…This definition of an effective Hamiltonian stems from the so-called wave-packet dynamics. In the last time it has found several applications to plasmas [25,26,29,30]. If one chooses for the test wave functions symmetrized and anti-symmetrized combinations of minimum uncertainty wave packets for the particles of species k,…”

Section: Momentum -Dependent Effective Interactionsmentioning

confidence: 99%

Quasiclassical Theory and Simulations of Strongly Coupled Plasmas

Ébeling

Ortner

1998

Physica Scripta

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A survey on the dynamical and thermodynamical properties of plasmas with strong Coulomb interactions in the quasi-classical density-temperature region is given. First the basic theoretical concepts describing nonideality are discussed. The chemical picture is introduced. It is shown that the nonideal plasma subsystem of the free charges has a rather large quasi-classical regime, where the quantum effects yield only corrections to the merely classical dynamics. The plasma of free charges may be described by effective potentials which incorporate quantum effects in an approximative way. The simplest effective potentials are only space-dependent, more advanced methods include momentum-dependent interactions. On the basis of these potentials analytical results are derived and simulation methods are developed. It is shown that effective potentials are appropriate for the description of thermodynamical as well as collective properties.

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Quantum wave-packets simulation of ionization processes in dense plasmas

Cited by 14 publications

References 13 publications

Molecular dynamics for fermions

Molecular dynamics for fermions

Self‐similar wavepackets for describing warm dense matter

Quasiclassical Theory and Simulations of Strongly Coupled Plasmas

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