Abstract
The properties of semi-classical phase space evolution equations - as the Vlasov/Boltzmann equations - are discussed in the context of the heavy ion reaction theory at intermediate energies (from 10 to 100 MeV per nucleon). The generalized coherent state set is shown to form a (over) complete basis for the phase space; then every solution of the Vlasov/Boltzmann equations can be defined as a convolution product of the generalized coherent state basis by an appropriate weight function w. The uniform approximation for w is shown to provide an accurate semi-classical description of fermion systems in their ground state: the examples of fermions in a harmonic well and of cold nuclei are discussed. The solution of the Vlasov equation amounts to follow the time evolution of the coherent states which play the role of a moving basis. For the Boltzmann equation, the collision term is taken into account by explicit or implicit variations of the function w. Typical applications are discussed: nuclear response to the giant monopole resonance excitation, fast nucleon emission in heavy-ion reactions. (orig.).
Citation Formats
Remaud, B, Sebille, F, Raffray, Y, Gregoire, C, and Vinet, L.
Semi-classical approaches to the phase space evolutions in intermediate energy heavy ion collisions.
Netherlands: N. p.,
1986.
Web.
Remaud, B, Sebille, F, Raffray, Y, Gregoire, C, & Vinet, L.
Semi-classical approaches to the phase space evolutions in intermediate energy heavy ion collisions.
Netherlands.
Remaud, B, Sebille, F, Raffray, Y, Gregoire, C, and Vinet, L.
1986.
"Semi-classical approaches to the phase space evolutions in intermediate energy heavy ion collisions."
Netherlands.
@misc{etde_5793179,
title = {Semi-classical approaches to the phase space evolutions in intermediate energy heavy ion collisions}
author = {Remaud, B, Sebille, F, Raffray, Y, Gregoire, C, and Vinet, L}
abstractNote = {The properties of semi-classical phase space evolution equations - as the Vlasov/Boltzmann equations - are discussed in the context of the heavy ion reaction theory at intermediate energies (from 10 to 100 MeV per nucleon). The generalized coherent state set is shown to form a (over) complete basis for the phase space; then every solution of the Vlasov/Boltzmann equations can be defined as a convolution product of the generalized coherent state basis by an appropriate weight function w. The uniform approximation for w is shown to provide an accurate semi-classical description of fermion systems in their ground state: the examples of fermions in a harmonic well and of cold nuclei are discussed. The solution of the Vlasov equation amounts to follow the time evolution of the coherent states which play the role of a moving basis. For the Boltzmann equation, the collision term is taken into account by explicit or implicit variations of the function w. Typical applications are discussed: nuclear response to the giant monopole resonance excitation, fast nucleon emission in heavy-ion reactions. (orig.).}
journal = []
volume = {447}
place = {Netherlands}
year = {1986}
month = {Jan}
}
title = {Semi-classical approaches to the phase space evolutions in intermediate energy heavy ion collisions}
author = {Remaud, B, Sebille, F, Raffray, Y, Gregoire, C, and Vinet, L}
abstractNote = {The properties of semi-classical phase space evolution equations - as the Vlasov/Boltzmann equations - are discussed in the context of the heavy ion reaction theory at intermediate energies (from 10 to 100 MeV per nucleon). The generalized coherent state set is shown to form a (over) complete basis for the phase space; then every solution of the Vlasov/Boltzmann equations can be defined as a convolution product of the generalized coherent state basis by an appropriate weight function w. The uniform approximation for w is shown to provide an accurate semi-classical description of fermion systems in their ground state: the examples of fermions in a harmonic well and of cold nuclei are discussed. The solution of the Vlasov equation amounts to follow the time evolution of the coherent states which play the role of a moving basis. For the Boltzmann equation, the collision term is taken into account by explicit or implicit variations of the function w. Typical applications are discussed: nuclear response to the giant monopole resonance excitation, fast nucleon emission in heavy-ion reactions. (orig.).}
journal = []
volume = {447}
place = {Netherlands}
year = {1986}
month = {Jan}
}